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Elucidation of information structure exhibiting power-law distribution in the mathematical framework of generalized entropies

Research Project

Project/Area Number 18300003
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Fundamental theory of informatics
Research InstitutionChiba University

Principal Investigator

SUYARI Hiroki  Chiba University, 大学院・融合科学研究科, 准教授 (70246685)

Co-Investigator(Kenkyū-buntansha) WADA Tatsuaki  茨城大学, 工学部, 准教授 (00240549)
YANAGI Kenjiro  山口大学, 大学院・理工学研究科, 教授 (90108267)
FURUICHI Shigeru  日本大学, 文理学部, 准教授 (50299327)
塚田 真  東邦大学, 理学部, 教授 (10120198)
阿部 純義  三重大学, 大学院・工学研究科物理工学専攻, 教授 (70184215)
上坂 吉則  山梨英和大学, 人間文化学部, 教授 (40019782)
Co-Investigator(Renkei-kenkyūsha) TSUKADA Makoto  東邦大学, 理学部, 教授 (10120198)
UESAKA Yoshinori  山梨英和大学, 人間文化学部, 教授 (40019782)
ABE Sumiyoshi  三重大学, 大学院・工学研究科, 教授 (70184215)
OHARA Atsumi  大阪大学, 基礎工学研究科, 准教授 (90221168)
FIEMMING Topsoe  コペンハーゲン大, 数学科, 名誉教授
CONSTANTINO Tsallis  ブラジル物理学研究センター, 教授
Project Period (FY) 2006 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥15,990,000 (Direct Cost: ¥13,200,000、Indirect Cost: ¥2,790,000)
Fiscal Year 2009: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2008: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2007: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2006: ¥3,900,000 (Direct Cost: ¥3,900,000)
Keywords一般化エントロピー / 一般化指数関数 / ベキ分布 / スケーリング則 / Tsallisエントロピー / 情報幾何 / 一般化相対エントロピー / 最尤法 / κエントロピー / q-Gauss分布 / skew information / q-Fisher情報量 / Tsallis エントロピー / 非加法性 / マルチフラクタル / Sharama-Mittal-Tanejaエントロピー / 誤差法則 / トレース不等式 / Fisher情報量 / クラメール・ラオの不等式 / エントロピー最大化原理 / 一般化Faddeevの公理系 / Bregmanダイバージェンス / Superstatistics / 複雑ネットワーク / 変分不等式 / Tsallis統計 / べき分布 / スケールフリー / q-積 / 非線形微分方程式
Research Abstract

The fundamental quantity in statistical mechanics and information theory based on the probability theory is "entropy" , where the underlying mathematical structure is "stochastic independence and exponential family". As its generalization, we elucidate "scaling dependence and generalized exponential family" through some generalized entropies. In particular, the novel algebraic and geometric structures are revealed through our studies, which is found to generate power-law distribution.

Report

(6 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report   Self-evaluation Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (194 results)

All 2010 2009 2008 2007 2006 Other

All Journal Article (104 results) (of which Peer Reviewed: 62 results) Presentation (80 results) Book (5 results) Remarks (5 results)

  • [Journal Article] Maximization of Tsallis entropy in the combinatorial formulation2010

    • Author(s)
      H. Suyari
    • Journal Title

      J.Physics : Conf.Ser. vol. 201

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Information geometry of q-Gaussian densities and behaviors of solutions to related diffusion equations2010

    • Author(s)
      A. Ohara, T. Wada
    • Journal Title

      J.Phys.A : Math.Theor. vol. 43

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Uncertainty relation on Wigner-Yanase-Dyson skew information2010

    • Author(s)
      K. Yanagi
    • Journal Title

      J.Math.Anal.and Appli. vol. 365

      Pages: 12-18

    • NAID

      120001793948

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] On generalized Fisher informations and Cremer-Rao type inequalities2010

    • Author(s)
      S. Furuichi
    • Journal Title

      J.Physics : Conf.Ser. vol. 201

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Maximization of Tsallis entropy in the combinatorial formulation2010

    • Author(s)
      H.Suyari
    • Journal Title

      Journal of Physics : Conference Series 201

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Information geometry of q-Gaussian densities and behaviors of solutions to related diffusion equations2010

    • Author(s)
      A.Ohara, T.Wada
    • Journal Title

      J.Phys.A : Math.Theor. 43

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Uncertainty relation on Wigner-Yanase Dyson skew information2010

    • Author(s)
      Kenjiro Yanagi
    • Journal Title

      Journal of Mathematical Analysis and Applications 365

      Pages: 12-18

    • NAID

      120001793948

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Wigner-Yanase-Dyson skew information and uncertainty relation2010

    • Author(s)
      Kenjiro Yanagi
    • Journal Title

      Journal of Physice : Conference Series 201

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On generalized Fisher informations and Cremer-Rao type inequalities2010

    • Author(s)
      S.Furuichi
    • Journal Title

      Journal of Physics : Conference Series 201

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic solutions of a nonlinear diffusive equation in the framework of κ-generalized statistical mechanics2009

    • Author(s)
      T. Wada, A. M. Scarfone
    • Journal Title

      Euro.Phys.J.B vol. 70

      Pages: 65-71

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Generalized log-likelihood functions and Bregman divergences2009

    • Author(s)
      T. Wada
    • Journal Title

      J.Math.Phys. vol. 50

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Trace inequalities for products of matrices2009

    • Author(s)
      S. Furuichi, K. Kuriyama, K. Yanagi
    • Journal Title

      Lin.Alg. and its Appli. vol. 430

      Pages: 2271-2276

    • NAID

      120001716498

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Tsallis differential entropy and divergences derived from the generalized Shannon-Khinchin axioms2009

    • Author(s)
      H. Suyari, M. Tsukada
    • Journal Title

      Proc.2009 IEEE Int.Symp.on Inf.Theory (2009IEEE-ISIT) vol. 2009

      Pages: 149-153

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Tsallis 統計の基礎数理2009

    • Author(s)
      須鎗弘樹
    • Journal Title

      数理物理 Summer School 2009予稿集 vol. 2009

      Pages: 90-123

    • Related Report
      2009 Final Research Report
  • [Journal Article] Gauss' law of error revisited in the framework of Sharma-Taneja-Mittal information measure2009

    • Author(s)
      A. M. Scarfone, H. Suyari, T. Wada
    • Journal Title

      Cent.Eur.J.Phys vol. 7

      Pages: 4045-420

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Trace inequalities on a generalized Wigner-Yanase skew information2009

    • Author(s)
      S. Furuichi, K. Yanagi, K. Kuriyama
    • Journal Title

      J.Math.Anal.and Appli. vol. 356

      Pages: 179-185

    • NAID

      120001716497

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] On an inequality of capacity of MA(1) Gaussian channel with feedback2009

    • Author(s)
      K. Yanagi, N. Yamashita
    • Journal Title

      Applied Math.and Inf.Sci. vol. 3

      Pages: 13-23

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the maximum entropy principle and the minimization of the Fisher information in Tsallis statistics2009

    • Author(s)
      S. Furuichi
    • Journal Title

      J.Math.Phys. vol. 50

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Tsallis統計のマクロとミクロ2009

    • Author(s)
      須鎗弘樹, 和田達明
    • Journal Title

      京都大学数理解析研究講究録 1658

      Pages: 194-204

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Tsallis統計の基礎数理2009

    • Author(s)
      須鎗弘樹
    • Journal Title

      数理物理Summer School 2009予稿集 2009

      Pages: 90-123

    • Related Report
      2009 Annual Research Report
  • [Journal Article] 一般化Shannon加法性から導かれるα-グイバージェンスとBregmanダイバージェンス2009

    • Author(s)
      須鎗弘樹, 塚田真
    • Journal Title

      第32回情報理論とその応用シンボジウム予稿集 32

      Pages: 129-134

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Tsallis differential entropy and divergences derived from the generalized Shannon-Khinchin axioms2009

    • Author(s)
      H.Suyari, M.Tsukada
    • Journal Title

      Proceedings of 2009 IEEE International Symposium on Information Theory(2009IEEE-ISIT) 2009

      Pages: 149-153

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic solutions of a nonlinear diffusive equation in the framework of κ-generalized statistical mechanics2009

    • Author(s)
      T.Wada, A.M.Scarfone
    • Journal Title

      Euro.Phys.J.B 70

      Pages: 65-71

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generalized log-likelihood functions and Bregman divergences2009

    • Author(s)
      T.Wada
    • Journal Title

      J.Math.Phys. 50

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On an inequality of capacity of Gaussian channel with MA(1) and feedback2009

    • Author(s)
      Kenjiro Yanagi, Noriyuki Yamashita
    • Journal Title

      Procceedings of the Asian Conference on Nonlinear Analysis and Optimization 2009

      Pages: 361-371

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Skew informations, uncertainty relations and trace inequalities2009

    • Author(s)
      Shigeru Furuichi, Kenjiro Yanagi, Ken Kuriyama
    • Journal Title

      Proceedings of the Fifth International Conference on Information 2009

      Pages: 83-86

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Some inequalities on generalized skew information2009

    • Author(s)
      Kenjiro Yanagi
    • Journal Title

      第32回情報理論とその応用シンポジウム予稿集 32

      Pages: 135-139

    • NAID

      120006665623

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Trace inequalities for products of matrices2009

    • Author(s)
      S.Furuichi, K.Kuriyama, K.Yanagi
    • Journal Title

      Linear Algebra and its Applications 430

      Pages: 2271-2276

    • NAID

      120001716498

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Trace inequalities on a generalized Wigner-Yanase skew information2009

    • Author(s)
      S.Furuichi, K.Yanagi, K.Kuriyama
    • Journal Title

      Journal of Mathematical Analysis and Applications 356

      Pages: 179-185

    • NAID

      120001716497

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 二経数拡張された相対エントロピーの一意性定理2009

    • Author(s)
      古市茂
    • Journal Title

      第32回情報理論とその応用シンポジウム予稿集 32

      Pages: 140-143

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Asymptotic solutions of a nonlinear diffusive equation in the framework of κ -generalized statistical mechanics2009

    • Author(s)
      T.Wada, A.M.Scarfone
    • Journal Title

      Eur.Phys.J.B (掲載予定)

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Gauss'law of error revisited in the framework of Sharma-Taneja-Mittal information measure2009

    • Author(s)
      A.M.Scarfone, H.Suyari, T.Wada
    • Journal Title

      Central European Journal of Physics (掲載予定)

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Trace inequalities for products of matrices2009

    • Author(s)
      S.Furuichi, K.Kuriyama, K.Yanagi
    • Journal Title

      Linear Algebra and its Applications vol.430

      Pages: 2271-2276

    • NAID

      120001716498

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] On the maximum entropy principle and the minimization of the Fisher information in Tsallis statistics2009

    • Author(s)
      S.Furuichi
    • Journal Title

      J.Math.Phys. vol.50

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Multiplicative duality, q-triplet and (μ,ν,q)-relation derived from the one-to-one correspondence between the (μ,ν)-multinomial coefficient and Tsallis entropy Sq2009

    • Author(s)
      H.Suyari, T.Wada
    • Journal Title

      Physica A vol.387

      Pages: 71-83

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] 基本的な非線形微分方程式から導かれるTsallisエントロピーとマルチフラクタル構造2009

    • Author(s)
      須鎗弘樹
    • Journal Title

      京都大学数理解析研究所講究録 1630

      Pages: 1-9

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Gauss' law of error revisited in the framework of Sharma-Taneja-Mittal information measure2009

    • Author(s)
      A. M. Scarfone, H. Suyari, T. Wada
    • Journal Title

      Central European Journal of Physics

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic solutions of a nonlinear diffusive equation in the framework of K-generalized statistical mechanics2009

    • Author(s)
      T. Wada and A. M. Scarfone
    • Journal Title

      The European Physical Journal B

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lie symmetries and related group-invariant solutions of a nonlinear Fokker-Planck equation based on the Sharma-Taneja-Mittal2009

    • Author(s)
      A. M. Scarf one, T. Wada
    • Journal Title

      Brazilian Journal of Physics

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On an inequality of capacity of MA(l)Gaussian channel with feedback2009

    • Author(s)
      K. Yanagi & N. Yamashita
    • Journal Title

      Applied Mathematics and Information Sciences 3

      Pages: 13-23

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Trace inequalities for products of matrices2009

    • Author(s)
      S.Furuichi, K. Kuriyama & K. Yanagi
    • Journal Title

      Linear Algebra and its Applications 430

      Pages: 2271-2276

    • NAID

      120001716498

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] フィードバックをもつガウス型通信路の容量の満たす不等式について2009

    • Author(s)
      柳研二郎, 山下範幸
    • Journal Title

      京都大学数理解析研究所講究録 1630

      Pages: 138-147

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Trace inequalities on a generalized Wigner-Yanase skew information2009

    • Author(s)
      S. Furuichi, K. Yanagi & K. Kuriyama
    • Journal Title

      Journal of Mathematical Analysis and A pplications 356

      Pages: 179-185

    • NAID

      120001716497

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the maximum entropy principle and the minimization of the Fisher information in Tsallis statistics2009

    • Author(s)
      S. Furuichi
    • Journal Title

      Journal of Mathematical Physics 50

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 凸集合とエントロピー2009

    • Author(s)
      塚田真
    • Journal Title

      数理解析研究所研究集会講究録非加法の数理と情報:非加法性と凸解析 1630

      Pages: 89-95

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Tsallis 統計力学の背景と新展開2008

    • Author(s)
      須鎗弘樹
    • Journal Title

      日本物理学会誌 vol. 63

      Pages: 450-454

    • NAID

      110006781901

    • Related Report
      2009 Final Research Report
  • [Journal Article] エントロピーの公理的定式化から複雑系の理論へ (招待論文)2008

    • Author(s)
      須鎗弘樹
    • Journal Title

      電子情報通信学会技術報告 (信学技報) 情報理論 vol. IT2008-40

      Pages: 7-12

    • Related Report
      2009 Final Research Report
  • [Journal Article] Combinatorial Basis and non-asymptotic form of the Tsallis entropy function2008

    • Author(s)
      R. K. Niven, H. Suyari
    • Journal Title

      Eur.Phys.J.B vol. 61

      Pages: 75-82

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Multiplicative duality, q-triplet and (μ,ν,q)-relation derived from the one-to-one correspondence between the (μ,ν)-multinomial coefficient and Tsallis entropy Sq2008

    • Author(s)
      H. Suyari, T. Wada
    • Journal Title

      Physica A vol. 387

      Pages: 71-83

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Tsallis 統計力学の背景と新展開2008

    • Author(s)
      須鎗弘樹
    • Journal Title

      日本物理学会誌 vol.63

      Pages: 450-454

    • NAID

      110006781901

    • Related Report
      2008 Self-evaluation Report
  • [Journal Article] Tsallis統計力学の背景と新展開2008

    • Author(s)
      須鎗弘樹
    • Journal Title

      日本物理学会誌 63

      Pages: 450-454

    • NAID

      110006781901

    • Related Report
      2008 Annual Research Report
  • [Journal Article] エントロピーの公理的定式化から複雑系の理論へ(招待論文)2008

    • Author(s)
      須鎗弘樹
    • Journal Title

      電子情報通信学会技術報告(信学技報) 108

      Pages: 7-12

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Generalized skew information に関連した不等式2008

    • Author(s)
      K. Yanagi, S. Furuichi & K. Kuriyama
    • Journal Title

      京都大学数理解析研究所講究録 1585

      Pages: 12-23

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Some operator inequalities and trace inequalities related to Tsallis entropy2008

    • Author(s)
      K. Yanagi, S. Furuichi & K. Kuriyama
    • Journal Title

      Proceedings of the International Sympo siumon Banach and Function Spaces II

      Pages: 445-454

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On inequality related to capacity of Gaussian channel, II2008

    • Author(s)
      K. Yanagi & N. Yamashita
    • Journal Title

      Proceedings of the 31th Symposium on Information Theory and its Application s

      Pages: 188-193

    • NAID

      120006665658

    • Related Report
      2008 Annual Research Report
  • [Journal Article] 一般化されたskew information に関連した不確定性関係2008

    • Author(s)
      柳研二郎, 古市茂, 栗山憲
    • Journal Title

      京都大学数理解析研究所講究録 1615

      Pages: 80-87

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Generalized Wigner-Yanase skew information and generalized Fisher information2008

    • Author(s)
      K. Yanagi, S. Furuichi & K. Kuriyama
    • Journal Title

      Proceedings of International Symposium on Information Theory and its Applicat ions

      Pages: 45-460

    • NAID

      120001176891

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Maximum Entropy Principles for Generalized Entropies2008

    • Author(s)
      M. Tsukada
    • Journal Title

      Quantum Bio-Informatics World Scientific

      Pages: 427-439

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Combinatorial Basis and non-asymptotic form of the Tsailis entropy function2008

    • Author(s)
      R.K.Niven and H. Suyari
    • Journal Title

      Eur.Phys.J.B 61

      Pages: 75-82

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multiplicative duality, q-triplet and (μ,v,q)-relation derived from the one-to-one correspondence between the (μ,v)-multinomial coeffcient and Tsallis entropy Sq2008

    • Author(s)
      H. Suyari and T. Wada
    • Journal Title

      Physica A 387

      Pages: 71-83

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tsallisエントロピーを平均符号長の下限にもつ一般化符号木について2008

    • Author(s)
      須鎗 弘樹
    • Journal Title

      京都大学数理解析研究所講究録 1585

      Pages: 1-11

    • Related Report
      2007 Annual Research Report
  • [Journal Article] 一般化次元とTsallisエントロピーとEilsteinの関係式の一般化について2008

    • Author(s)
      須鎗 弘樹
    • Journal Title

      日本物理学会講演概要集 63

      Pages: 325-325

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Gaussの誤差法則とHyperensembles2008

    • Author(s)
      和田 達明
    • Journal Title

      日本物理学会第63回年次大会(近畿大)概要集 63

    • Related Report
      2007 Annual Research Report
  • [Journal Article] The maxium entropy principle for generalized entropies2008

    • Author(s)
      M.Tsukada
    • Journal Title

      Quantum Bio-Informatics From Quantum Information to Bio-Informatics

      Pages: 427-439

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Stationary photon-atom entanglement and flow equation2008

    • Author(s)
      Y.Itto and S.Abe
    • Journal Title

      Physica A 387

      Pages: 1063-1070

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Robustness of the second law of themodynamics under generalizations of the maximum entropy method2008

    • Author(s)
      S.Abe and S.Thumer
    • Journal Title

      Europhysics Letters 81

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A two-parameter generalization of Shannon-Khinchin axioms and the uniqueness theorem2007

    • Author(s)
      T. Wada, H. Suyari
    • Journal Title

      Phys.Let.A vol. 368

      Pages: 199-205

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Tsallis entropy as a lower bound of average description length for the q-generalized code tree2007

    • Author(s)
      H. Suyari
    • Journal Title

      Proc.2007 IEEE Int.Symp.on Inf.Theory (2007IEEE-ISIT) vol. 2009

      Pages: 149-153

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A generalized Fannes' inequality2007

    • Author(s)
      S. Furuichi, K. Yanagi, K. Kuriyama
    • Journal Title

      J.Inequal.in Pure and Applied Math. vol. 8

      Pages: 1-6

    • NAID

      120000860097

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A two-parameter generalization of Shannon-Khinchin axioms and the uniqueness theorem2007

    • Author(s)
      T.Wada, H.Suyari
    • Journal Title

      vol.368

      Pages: 199-205

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Tsallis entropy as a lower bound of average deschption length for the q-generalized code tree2007

    • Author(s)
      H. Suyari
    • Journal Title

      Proceedings of 2007 IEEE International Symposium on Information Theory(2007IEEE-ISIT)

      Pages: 901-905

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A rooted tree whose lower bound of average description length is given by Tsallis entropy2007

    • Author(s)
      H. Suyari
    • Journal Title

      AIP Conference Proceedfngs 965

      Pages: 80-83

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On scaling law and Tsallis entropy derived from a fundamental nonlinear differential equation2007

    • Author(s)
      H. Suyari and T. Wada
    • Journal Title

      京都大学数理解析研究所講究録 1561

      Pages: 166-174

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Tsallisエントロピーの数理と一般化符号木2007

    • Author(s)
      須鎗 弘樹
    • Journal Title

      第5回シャノン理論ワークショップ(STWO7)予稿集 5

      Pages: 59-66

    • Related Report
      2007 Annual Research Report
  • [Journal Article] A two-parameter generalization of Shannon-Khinchin axioms and the uniqueness theorem2007

    • Author(s)
      T. Wada and H. Suyari
    • Journal Title

      Physics Letter A 368

      Pages: 199-205

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the non-linear Fokker-Planck equation assciated with k-entropy2007

    • Author(s)
      T. Wada and A.M. Scarfone
    • Journal Title

      AIP Conference Proceedings 965

      Pages: 177-180

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 非線型Fokker-Planck方程式の自己相似解の漸近挙動と一般化エントロピー最大原理2007

    • Author(s)
      和田 達明 A.M. Scarfone
    • Journal Title

      日本物理学会第62回年次大会(北大)概要集 62

    • Related Report
      2007 Annual Research Report
  • [Journal Article] The maximum entropy principle as a convex programming problem and related inequalities2007

    • Author(s)
      M.Tsukada, H.Suyari & M.Kato
    • Journal Title

      Nonlinear Analysis and Convex Analysis

      Pages: 643-655

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the probabiity distribution maximizing generalized entropies2007

    • Author(s)
      M.Tsukada, H.Suyari & M.Kato
    • Journal Title

      Applied Functional Analysis, Information Sciences and Related Fields

      Pages: 99-111

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamical evolution of clustering in complex network of earthquakes2007

    • Author(s)
      S.Abe and N.Suzuki
    • Journal Title

      European Physical Journal B 59

      Pages: 93-97

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Superstatistics,thermodynamics, and fiuctuations2007

    • Author(s)
      S.Abe, C.Beck, and E.G.D. Cohen
    • Journal Title

      Physical Review E 76

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generalized canonical formalism for the Fokker-Planck equation with scale-invariant solutions2007

    • Author(s)
      S. Abe
    • Journal Title

      AIP Conference Proceedings 965

      Pages: 139-143

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A genralized Fannes' inequality2007

    • Author(s)
      S. Furuichi, K. Yanagi and K. Kuriyama
    • Journal Title

      Jouranal of Inequalities in Pure and Applied Mathematics 8

      Pages: 1-6

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ガウス型通信路についての最近の話題2007

    • Author(s)
      K. Yanagi
    • Journal Title

      京都大学数理解析研究所講究録 1561

      Pages: 36-44

    • Related Report
      2007 Annual Research Report
  • [Journal Article] On generalized skew information2007

    • Author(s)
      K. Yanagi, S. Furuichi and K. Kuriyama
    • Journal Title

      Proceedings of Symposium on Applied Functional Analysis and Related Fields

      Pages: 113-123

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On inequality related to capacity of Gaussian channel2007

    • Author(s)
      K. Yanagi
    • Journal Title

      Proceedings of the 30th Symposium on Information Theory and its Application 30

      Pages: 165-169

    • NAID

      120006665636

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Wigner-Yanase-Dyson skew information に関する不確定性関係2007

    • Author(s)
      S. Furuichi, K. Yanagi and K. Kuriyama
    • Journal Title

      2007 実解析学シンポジウム報告集

      Pages: 57-60

    • Related Report
      2007 Annual Research Report
  • [Journal Article] A generalized Fannes'inequality2007

    • Author(s)
      S. Furuichi, K. Yanagi and K. Kuriyama
    • Journal Title

      Journal of inequalities in pure and applied mathe matics Vol.8,Issue 1Ar,,ticle 5

      Pages: 1-6

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A rigorous estimate of the computational complexity in Shor's factoring algorithm2007

    • Author(s)
      K.Kuriyama, S.Sano and S.Furuichi
    • Journal Title

      Applied Mathematics and Information Science Vol.1,No.3

      Pages: 313-322

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A mathematical review of the generalized entropies and their matrix trace inequalities2007

    • Author(s)
      S.Furuichi
    • Journal Title

      Proceedings of WEC2007

      Pages: 840-845

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Tsallis entropy as a lower bound of average description length for the q-generalized code tree2007

    • Author(s)
      H.Suyari
    • Journal Title

      Proceedings of the 2007 IEEE International Symposium on Information Theory (2007IEEE-ISIT) 2007(印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] H, Suyari and T. Wada2007

    • Author(s)
      H.Suyari, T.Wada
    • Journal Title

      京都大学数理解析研究所講究録 未定(印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 静電粉体塗料の表面電位減衰特性に対するq-指数関数解析2007

    • Author(s)
      佐藤弘基, 和田達明, 金子冨士男, 竹内学
    • Journal Title

      2007年静電気学会春期講演論文集 2007

      Pages: 59-60

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The maximal entropy principle as a convex programming problem and related inequalities2007

    • Author(s)
      M.Tsukada, H.Suyari, M.Kato
    • Journal Title

      Proceedings of the Forth International Conference on Nonlinear Analysis and Convex Analysis 4

      Pages: 643-655

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On the probability distribution maximizing generalized entropies2007

    • Author(s)
      M.Tsukada, H.Suyari, M.Kato
    • Journal Title

      Proceedings of Symposium on Applied Functional Analysis : Information Sciences and Related Fields 2007(印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Mathematical structure derived from the q-multinomial coefficient in Tsallis statistics2006

    • Author(s)
      H. Suyari
    • Journal Title

      Physica A vol. 368

      Pages: 63-82

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Mathematical structure derived from the q-multinomial coefficient in Tsallis statistics2006

    • Author(s)
      H.Suyari
    • Journal Title

      Physica A 368

      Pages: 63-82

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The unique non self-referential q-canonical distribution and the physical temperature derived from the maximum entropy principle in Tsallis statistics2006

    • Author(s)
      H.Suyari
    • Journal Title

      Progress of Theoretical Physics Supplement 162

      Pages: 79-86

    • NAID

      110004729507

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Tsallis entropy uniquely derived from a fundamental nonlinear differential equation2006

    • Author(s)
      H.Suyari, T.Wada
    • Journal Title

      Proceedings of the 5th Asia-Europe Workshop on Concepts in Information theory (AEW5) 5

      Pages: 24-29

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Scaling property and Tsallis entropy derived from a fundamental nonlinear differential equation2006

    • Author(s)
      H.Suyari, T.Wada
    • Journal Title

      Proceedings of the 2006 International Symposium on Information Theory and its Applications (ISITA2006) 2006 (CDROM)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The Boltzman temperature and Lagrange multiplier in nonextensive thermostatistics2006

    • Author(s)
      T.Wada, A.M.Scarfone
    • Journal Title

      Progress of Theoretical Physics Supplement 162

      Pages: 37-44

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Canonical partition function for anomalous system described by the κ-entropy2006

    • Author(s)
      T.Wada, A.M.Scarfone
    • Journal Title

      Progress of Theoretical Physics Supplement 162

      Pages: 45-52

    • NAID

      110004729503

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 非線形Fokker-Planck方程式と非加法的統計力学2006

    • Author(s)
      和田達明, A.M.Scarfone
    • Journal Title

      日本物理学会2006年秋季大会(千葉大)概要集 2006

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 導電性フィルムの切り込みの長さに対する抵抗値の変化2006

    • Author(s)
      斉藤拓未, 和田達明, 竹内学
    • Journal Title

      第14回 電気学会東京支部茨城支所研究発表会 講演予稿集 14

      Pages: 52-52

    • Related Report
      2006 Annual Research Report
  • [Presentation] Wigner-Yanase-Dyson skew informationと不確定性関係2010

    • Author(s)
      Kenjiro Yanagi
    • Organizer
      日本数学会函数解析学分科会
    • Place of Presentation
      慶応大学(横浜市)
    • Year and Date
      2010-03-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] 一船化Shannon加法性から導かれるα-ダイバージェンスとBregmanダイバージェンス2009

    • Author(s)
      須鎗弘樹, 塚田真
    • Organizer
      第32回情報理論とその応用シンポジウム
    • Place of Presentation
      湯田温泉ホテルかめ福(山口市)
    • Year and Date
      2009-12-02
    • Related Report
      2009 Annual Research Report
  • [Presentation] 一般化されたskew informationに関する不等式について2009

    • Author(s)
      Kenjiro Yanagi
    • Organizer
      第32回情報理論とその応用シンポジウム
    • Place of Presentation
      湯田温泉ホテルかめ福(山口市)
    • Year and Date
      2009-12-02
    • Related Report
      2009 Annual Research Report
  • [Presentation] 二経数拡張された相対エントロピーの一意性定理2009

    • Author(s)
      古市茂
    • Organizer
      第32回情報理論とその応用シンポジウム(SITA2009)
    • Place of Presentation
      湯田温泉ホテルかめ福(山口市)
    • Year and Date
      2009-12-02
    • Related Report
      2009 Annual Research Report
  • [Presentation] Skew informations, uncertainty relations and trace inequalities2009

    • Author(s)
      S.Furuichi, K.Yanagi, K.Kuriyama
    • Organizer
      Fifth International Conference on INFORMATION
    • Place of Presentation
      Kyoto Univ.
    • Year and Date
      2009-11-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] Wigner-Yanase-Dyson skew informationに関する不確定性関係、II2009

    • Author(s)
      Kenjiro Yanagi
    • Organizer
      実解析学シンポジアム
    • Place of Presentation
      城西大学(坂戸市)
    • Year and Date
      2009-10-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] Some inequalities on generalized Wigner-Yanase-Dyson skew information2009

    • Author(s)
      K. Yanagi
    • Organizer
      Int. Symp. on Banach and Function Spaces
    • Place of Presentation
      九州工業大学 (北九州市)
    • Year and Date
      2009-09-17
    • Related Report
      2009 Final Research Report
  • [Presentation] Some inequalities on generalized Wigner-Yanase-Dyson skew information(招待講演)2009

    • Author(s)
      Kenjiro Yanagi
    • Organizer
      Internatonal Symposium on Banach and Function Spaces
    • Place of Presentation
      九州工業大学(北九州市)
    • Year and Date
      2009-09-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] 離散entropy power inequalityについて2009

    • Author(s)
      Kenjiro Yanagi
    • Organizer
      京都大学数理解析研究所・研究集会 非加法性の数理と情報:凸解析との接点
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2009-08-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] On one-parameter extended Fisher information and Cramer-Rao inequality2009

    • Author(s)
      S. Furuichi
    • Organizer
      The XVI International Congress on Mathematical Physics
    • Place of Presentation
      Prague, Czech Republic
    • Year and Date
      2009-08-06
    • Related Report
      2009 Final Research Report
  • [Presentation] On one-parameter extended Fisher information and Cram'er-Rao inequality2009

    • Author(s)
      S.Furuichi
    • Organizer
      The XVI International Congress on Mathematical Physics
    • Place of Presentation
      Prague, Czech Republic
    • Year and Date
      2009-08-06
    • Related Report
      2009 Annual Research Report
  • [Presentation] How can we obtain the mathematical structure in Tsallis statistics?2009

    • Author(s)
      H.Suyari
    • Organizer
      Kyoto RIMS Workshop "Mathematical Aspects of Generalized Entropies and their Applications"
    • Place of Presentation
      京都テルサ(京都市)
    • Year and Date
      2009-07-09
    • Related Report
      2009 Annual Research Report
  • [Presentation] Wigner-Yanase-Dyson skew information and uncertainty relation2009

    • Author(s)
      Kenjiro Yanagi
    • Organizer
      Kyoto RIMS Workshop "Mathematical Aspects of Generalized entropies and their Applications"
    • Place of Presentation
      京都テルサ(京都市)
    • Year and Date
      2009-07-09
    • Related Report
      2009 Annual Research Report
  • [Presentation] On one-parameter extended Fisher information and Cram er-Rao inequality2009

    • Author(s)
      S.Furuichi
    • Organizer
      Kyoto RIMS Workshop "Mathematical aspects of generalized entropies and their applications"
    • Place of Presentation
      京都テルサ(京都市)
    • Year and Date
      2009-07-09
    • Related Report
      2009 Annual Research Report
  • [Presentation] Finite difference and averaging operators in generalized entropies2009

    • Author(s)
      T. Wada, A. M. Scarfone
    • Organizer
      Kyoto RIMS Workshop "Mathematical Aspects of Generalized Entropies and their Applications"
    • Place of Presentation
      京都テルサ (京都市)
    • Year and Date
      2009-07-07
    • Related Report
      2009 Final Research Report
  • [Presentation] Finite difference and averaging operators in generalized entropies2009

    • Author(s)
      T.Wada, A.M.Scarfone
    • Organizer
      Kyoto RIMS Workshop "Mathematical Aspects of Generalized Entropies and their Applications"
    • Place of Presentation
      京都テルサ(京都市)
    • Year and Date
      2009-07-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] Tsallis differential entropy and divergences derived from the generalized Shannon-Khinchin axioms2009

    • Author(s)
      H. Suyari, M. Tsukada
    • Organizer
      2009 IEEE Int. Symp. on Inf. Theory (ISIT2009)
    • Place of Presentation
      ソウル (韓国)
    • Year and Date
      2009-06-29
    • Related Report
      2009 Final Research Report
  • [Presentation] Tsallis differential entropy and divergences derived from the generalized Shannon-Khinchin axioms2009

    • Author(s)
      H.Suyari, M.Tsukada
    • Organizer
      2009IEEE International Symposium on Information Theory
    • Place of Presentation
      ソウル(韓国)
    • Year and Date
      2009-06-29
    • Related Report
      2009 Annual Research Report
  • [Presentation] A variational expression for generalized relative entropy2009

    • Author(s)
      S. Furuichi
    • Organizer
      The Second Najman Conf. on Spectral Problems for Operators and Matrices
    • Place of Presentation
      Dubrovnik, Croatia
    • Year and Date
      2009-05-14
    • Related Report
      2009 Final Research Report
  • [Presentation] A variational expression for generalized relative entropy2009

    • Author(s)
      S.Furuichi
    • Organizer
      The Second Najman Conference on Spectral Problems for Operators and Matrices
    • Place of Presentation
      Dubrovnik, Croatia
    • Year and Date
      2009-05-14
    • Related Report
      2009 Annual Research Report
  • [Presentation] K, -Gauss分布を定常状態とする非線型ドリフト2009

    • Author(s)
      和田達明
    • Organizer
      日本物理学会第64回年次大会
    • Place of Presentation
      立教学院池袋キャンパス
    • Year and Date
      2009-03-30
    • Related Report
      2008 Annual Research Report
  • [Presentation] Remarks on trace inequalities for products of matrices2009

    • Author(s)
      S. Furuichi, K. Kuriyama & K. Yanagi
    • Organizer
      The 6 th International Conference on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      東京大学(東京都目黒区)
    • Year and Date
      2009-03-29
    • Related Report
      2008 Annual Research Report
  • [Presentation] 情報理論に現れるある不等式について2009

    • Author(s)
      柳研二郎, 山下範幸
    • Organizer
      日本数学会実函数論分科会
    • Place of Presentation
      東京大学(東京都目黒区)
    • Year and Date
      2009-03-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] A nonlinear drift which leads to κ-generalized distributions in Gauss' law of error2009

    • Author(s)
      T. Wada
    • Organizer
      Appli. of Phys. in Finan. Anal. 7-th Int. Conf.
    • Place of Presentation
      東工大 大岡山キャンパス
    • Related Report
      2009 Final Research Report
  • [Presentation] A nonlinear drift which leads to κ-generalized distributions in Gauss'law of error2009

    • Author(s)
      T.Wada
    • Organizer
      Application of Physics in Financial Analysis 7-th International; Conference
    • Place of Presentation
      東工大大岡山キャンパス
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] A nonlinear drift which leads to AT-generalized distributions in Gauss' law of error2009

    • Author(s)
      T. Wada
    • Organizer
      Application of Physics in Financial Analysis 7-th International; Conference
    • Place of Presentation
      東工大 大岡山キャンパス
    • Related Report
      2008 Annual Research Report
  • [Presentation] A generalization of the log-likelihood function and weighted average in Gauss' law of error2008

    • Author(s)
      T. Wada, H. Suyari
    • Organizer
      Int. Symp. on Inf. Theory and its Appl. (ISITA2008)
    • Place of Presentation
      Langham Hotel, Auckland, New Zealand
    • Year and Date
      2008-12-10
    • Related Report
      2009 Final Research Report
  • [Presentation] A generalization of the log-likelihood function and weighted average in Gauss' law of error2008

    • Author(s)
      T. Wada, H. Suyari
    • Organizer
      International Symposium on Information Theory and its Application, ISITA2008
    • Place of Presentation
      Langham Hotel, Auckland, New Zealand
    • Year and Date
      2008-12-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Generalized Wigner-Yanase skew information and generalized Fisher information2008

    • Author(s)
      K. Yanagi, S. Furuichi, K. Kuriyama
    • Organizer
      Int. Symp. on Inf. Theory and its Appl. (ISITA2008)
    • Place of Presentation
      Langham Hotel, Auckland, New Zealand
    • Year and Date
      2008-12-08
    • Related Report
      2009 Final Research Report
  • [Presentation] Generalized Wigner-Yanase skew information and generalized Fisher in formation2008

    • Author(s)
      K.Yanagi, S.Furuichi, K.Kuriyama
    • Organizer
      2008 Inter. Symp. on Info. Th. and its Appl.
    • Place of Presentation
      The Lahgham Hotel (New Zealand)
    • Year and Date
      2008-12-08
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Generalized Wigner-Yanase skew information and generalized Fisher information2008

    • Author(s)
      K. Yanai, S. Furuichi & K. Kuriyama
    • Organizer
      2008 International Symposium on Information Theory and its Applications
    • Place of Presentation
      The Lahgham Hotel(New Zealand)
    • Year and Date
      2008-12-08
    • Related Report
      2008 Annual Research Report
  • [Presentation] Tsallis統計のマクロとミクロ2008

    • Author(s)
      須鎗弘樹, 和田達明
    • Organizer
      京都大学数理解析研究所・研究集会 「非可換解析とミクロ・マクロ双対性」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-11-06
    • Related Report
      2008 Annual Research Report
  • [Presentation] 量子情報理論における不等式について2008

    • Author(s)
      古市茂, 柳研二郎
    • Organizer
      第12回環瀬戸内応用数理研究部会
    • Place of Presentation
      山形大学
    • Year and Date
      2008-10-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] エントロピーの公理的定式化から複雑系の理論へ2008

    • Author(s)
      須鎗弘樹
    • Organizer
      第31回情報理論とその応用シンポジウム (SITA2008)
    • Place of Presentation
      鬼怒川温泉あさやホテル, 日光市
    • Year and Date
      2008-10-08
    • Related Report
      2009 Final Research Report
  • [Presentation] エントロピーの公理的定式化から複雑系の理論へ(招待講演)2008

    • Author(s)
      須鎗弘樹
    • Organizer
      第31回情報理論とその応用シンポジウム
    • Place of Presentation
      鬼怒川温泉あさやホテル(日光市)
    • Year and Date
      2008-10-08
    • Related Report
      2008 Annual Research Report 2008 Self-evaluation Report
  • [Presentation] ガウス型通信路の容量に関する不等式について II2008

    • Author(s)
      柳研二郎, 山下範幸
    • Organizer
      第31回情報理論とその応用シンポジウム
    • Place of Presentation
      鬼怒川温泉あさやホテル(日光市)
    • Year and Date
      2008-10-08
    • Related Report
      2008 Annual Research Report
  • [Presentation] Wigner-Yanase-Dyson skew informationに関する不等式 III2008

    • Author(s)
      古市茂, 柳研二郎, 栗山憲
    • Organizer
      日本数学会2008年度 秋季総合分科会函数解析 学分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-24
    • Related Report
      2008 Annual Research Report
  • [Presentation] K-エントロピーに関する非線型拡散方程式2008

    • Author(s)
      和田達明
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      岩手大学
    • Year and Date
      2008-09-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] On an inequality of capacity of Gaussian channel with MA(1) noise and feedback2008

    • Author(s)
      K. Yanagi, N. Yamashita
    • Organizer
      Asian Conf. on Nonlin. Anal. and Opt.
    • Place of Presentation
      Kunibiki Messe (松江市)
    • Year and Date
      2008-09-07
    • Related Report
      2009 Final Research Report
  • [Presentation] On an inequality of capacity of Gaussian channel with MA(1)noise and feedback2008

    • Author(s)
      K. Yanagi & N. Yamashita
    • Organizer
      Asian Conference on Nonlinear Analysis and Optimization
    • Place of Presentation
      Kunibiki Messe(松江市)
    • Year and Date
      2008-09-07
    • Related Report
      2008 Annual Research Report
  • [Presentation] フィードバックをもつガウス型通信路の容量の満たす不等式について2008

    • Author(s)
      柳研二郎, 山下範幸
    • Organizer
      京都大学数理解析研究所・研究集会「非加法性の数理と情報: 非加法性と凸解析」
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2008-08-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] 基本的な非線形微分方程式から導かれるTsallisエントロピーとマルチフラクタル構造2008

    • Author(s)
      須鎗弘樹
    • Organizer
      京都大学数理解析研究所・研究集会 「非加法性の数理と情報:非加法性と凸解析」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-08-25
    • Related Report
      2008 Annual Research Report
  • [Presentation] Matrix trace inequalities on a generalized Wigner-Yanase skew information2008

    • Author(s)
      S. Furuichi
    • Organizer
      Int. Workshop on Operator Theory and Its Appli. (IWOTA2008)
    • Place of Presentation
      Virginia, USA
    • Year and Date
      2008-07-22
    • Related Report
      2009 Final Research Report
  • [Presentation] Matrix trace inequalities on a generalized Wigner-Yanase skew information2008

    • Author(s)
      S. Furuichi
    • Organizer
      International Workshop on Operator Theory and Its Applications(IWOTA2008)
    • Place of Presentation
      Virginia, USA
    • Year and Date
      2008-07-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] Generalized dimension Dq and Tsallis entropy Sq derived from the nonlinear differential equation dy/dx=y^q2008

    • Author(s)
      H. Suyari
    • Organizer
      Int. Conf. in Stat. Phys. (SigmaPhi2008)
    • Place of Presentation
      Orthodox Academy of Crete, Greece
    • Year and Date
      2008-07-17
    • Related Report
      2009 Final Research Report
  • [Presentation] Generalized log-likelihood functions and Bregman divergences2008

    • Author(s)
      T.Wada
    • Organizer
      Int. Conf. in Stat. Phys.(SigmaPhi2008)
    • Place of Presentation
      Orthodox Academy of Cre te, Greece
    • Year and Date
      2008-07-17
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Generalized dimension Dq and Tsallis entropy Sq derived from the nonlinear differential equation dy/dx=y^q2008

    • Author(s)
      H. Suyari
    • Organizer
      International Conference in Statistical Physics, (SigmaPhi2008)
    • Place of Presentation
      Orthodox Academy of Crete, Greece
    • Year and Date
      2008-07-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] Asymptotic solutions of a nonlinear diffusive equation in the framework of K-generalized statistical mechanics2008

    • Author(s)
      T. Wada, A.M. Scarfone
    • Organizer
      International Conference in Statistical Physics, (SiginaPhi2008)
    • Place of Presentation
      Orthodox Academy of Crete, Greece
    • Year and Date
      2008-07-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] Generalized log-likelihood functions and Bregman divergences2008

    • Author(s)
      T. Wada
    • Organizer
      International Conference in Statistical Physics, (SigmaPhi2008)
    • Place of Presentation
      Orthodox Academy of Crete, Greece
    • Year and Date
      2008-07-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] Gauss' law of error revisited in the framework of Sharma-Taneja-Mittal information measure2008

    • Author(s)
      A. M. Scarfone, H. Suyari, T. Wada
    • Organizer
      International Conference in Statistical Physics, (SiginaPhi2008)
    • Place of Presentation
      Orthodox Academy of Crete, Greece
    • Year and Date
      2008-07-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] On trace inequalities for products of matrices2008

    • Author(s)
      S. Furuichi, K. Kuriyama, K. Yanagi
    • Organizer
      15th Int. Linear Alg. Society Conf.
    • Place of Presentation
      Cancun, Mexico
    • Year and Date
      2008-06-16
    • Related Report
      2009 Final Research Report
  • [Presentation] On trace inequalities for products of matrices2008

    • Author(s)
      S.Furuichi, K.Kuriyama, K.Yanagi
    • Organizer
      15th International Linear Algebra Society Conference
    • Place of Presentation
      Cancun, Mexico
    • Year and Date
      2008-06-16
    • Related Report
      2008 Annual Research Report 2008 Self-evaluation Report
  • [Presentation] 一般化された skew information に関連した不確定性関係2008

    • Author(s)
      柳研二郎, 古市茂, 栗山憲
    • Organizer
      京都大学数理解析研究所・研究集会「バナッハ空間及び関数空間論の最近の進展とその応用」
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2008-06-05
    • Related Report
      2008 Annual Research Report
  • [Presentation] Gauss の誤差法則と Hyper ensembles2008

    • Author(s)
      和田達明
    • Organizer
      日本物理学会第63回年次大会
    • Place of Presentation
      近畿大学理工学部
    • Year and Date
      2008-03-25
    • Related Report
      2009 Final Research Report
  • [Presentation] 一般化次元とTsallisエントロピーとEinsteinの関係式の一般化について2008

    • Author(s)
      須鎗 弘樹
    • Organizer
      日本物理学会第63回年次大会
    • Place of Presentation
      近畿大学理工学部
    • Year and Date
      2008-03-25
    • Related Report
      2007 Annual Research Report
  • [Presentation] Gaussの誤差法則とHyperensembles2008

    • Author(s)
      和田 達明
    • Organizer
      日本物理学会第63回年次大会
    • Place of Presentation
      近畿大学理工学部
    • Year and Date
      2008-03-25
    • Related Report
      2007 Annual Research Report
  • [Presentation] Wigner-Yanase-Dyson skew informationに関する不等式,II2008

    • Author(s)
      K. Yanagi, S. Furuichi and K. Kuriyama
    • Organizer
      日本数学会函数解析学分科会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-24
    • Related Report
      2007 Annual Research Report
  • [Presentation] "Cmplexity of Seismicity:Entropy, Networks,and Hierarchical Strure"(招待講演)2008

    • Author(s)
      Sumiyoshi Abe
    • Organizer
      The International Symposium on Hierarchy and Holism:Bridging Acrss Different Hierarchies in Natural Sciences
    • Place of Presentation
      岡崎国際会議場(日本)
    • Year and Date
      2008-02-21
    • Related Report
      2007 Annual Research Report
  • [Presentation] ガウス型通信路の容量に関する不等式2007

    • Author(s)
      Kenjiro Yanagi
    • Organizer
      第30回情報理論とその応用シンポジウム
    • Place of Presentation
      賢島宝生苑
    • Year and Date
      2007-11-28
    • Related Report
      2007 Annual Research Report
  • [Presentation] Wigner-Yanase-Dyson skew informationに関する不確定性関係2007

    • Author(s)
      S. FurUichi, K. Yanagi and K. Kuriyama
    • Organizer
      実解析学シンポジウム
    • Place of Presentation
      大阪教育大学
    • Year and Date
      2007-10-20
    • Related Report
      2007 Annual Research Report
  • [Presentation] 一般化熱統計学におけるLegendre構造, 非線形Fokker-Planck方程式およびBregman divergenceとの関連2007

    • Author(s)
      和田 達明
    • Organizer
      RIMS研究集会「非可換解析とミクロ・マクロ双対性」
    • Place of Presentation
      京都大学数理解析研究所(RIMS)
    • Year and Date
      2007-10-15
    • Related Report
      2007 Annual Research Report
  • [Presentation] Wigner-Yanase-Dyson skew information に関する不等式2007

    • Author(s)
      S. Furuichi, K. Yanagi, K. Kuriyama
    • Organizer
      日本数学会函数解析学分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-23
    • Related Report
      2009 Final Research Report
  • [Presentation] Wigner-Yanase-Dyson skew informationに関する不等式2007

    • Author(s)
      S. Furuichi, K. Yanagi and K. Kuriyama
    • Organizer
      日本数学会函数解析学分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-23
    • Related Report
      2007 Annual Research Report
  • [Presentation] 非線型Fokker-Planck方程式の自己相似解の漸近挙動と一般化エントロピー最大原理2007

    • Author(s)
      和田 達明
    • Organizer
      日本物理学会第62回年次大会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-21
    • Related Report
      2007 Annual Research Report
  • [Presentation] Tsallis エントロピーの数理と一般化符号木2007

    • Author(s)
      須鎗弘樹
    • Organizer
      第5回シャノン理論ワークショップ (STW07)
    • Place of Presentation
      ラフォーレ修善寺 (静岡県伊豆市)
    • Year and Date
      2007-09-07
    • Related Report
      2009 Final Research Report
  • [Presentation] Tsallisエントロピーの数理と一般化符号木2007

    • Author(s)
      須鎗 弘樹
    • Organizer
      第5回シャノン理論ワークショップ(STWO7)
    • Place of Presentation
      ラフォーレ修善寺(静岡県伊豆市)
    • Year and Date
      2007-09-07
    • Related Report
      2007 Annual Research Report
  • [Presentation] Tsallisエントロピーの数理と一般化符号木2007

    • Author(s)
      須鎗 弘樹
    • Organizer
      非加法性の数理と情報:非線形性・非可換性との接点
    • Place of Presentation
      京都大学数理解析研究所(RIMS)
    • Year and Date
      2007-08-13
    • Related Report
      2007 Annual Research Report
  • [Presentation] Generalized skew informationに関連した不等式2007

    • Author(s)
      K.Yanagi, S. Furuichi and K. Kuriyama.
    • Organizer
      京都大学数理解析研究所・研究集会(代表者:室伏俊明) 「非加法の数理と情報:非線形性・非可換性との接点」
    • Place of Presentation
      京都大学
    • Year and Date
      2007-08-13
    • Related Report
      2007 Annual Research Report
  • [Presentation] On the non-linear Fokker-Planck equation associated with κ-entropy2007

    • Author(s)
      T. Wada
    • Organizer
      Int. Conf. on Complexity, Metastability and Nonextensivity (CT-NEXT07)
    • Place of Presentation
      Catania Univ., Italy
    • Year and Date
      2007-07-04
    • Related Report
      2009 Final Research Report
  • [Presentation] On the non-linear Foldker-Planck equation associated with K-entropy2007

    • Author(s)
      T. Wada
    • Organizer
      International Conference on Complexity, Metastability and Nonextensivity, (CT-NEXTO7)
    • Place of Presentation
      Catania University,Italy
    • Year and Date
      2007-07-04
    • Related Report
      2007 Annual Research Report
  • [Presentation] "Generalized Canonical Formalism for the Fokker-Planck Equations with Scale-Invariant Solutions"(招待講演)2007

    • Author(s)
      Sumiyoshi Abe
    • Organizer
      The Intemational Conference on Complexity, Metastability and Nonextensivlty
    • Place of Presentation
      カターニア大学(イタリア)
    • Year and Date
      2007-07-03
    • Related Report
      2007 Annual Research Report
  • [Presentation] A rooted tree whose lower bound of average description length is given by Tsallis entropy2007

    • Author(s)
      H. Suyari
    • Organizer
      International Conference on Complexity, Metastability and Nonextensivity, (CT-NEXTO7)
    • Place of Presentation
      Catania University, Italy
    • Year and Date
      2007-07-02
    • Related Report
      2007 Annual Research Report
  • [Presentation] Tsallis entropy as a lower bound of average description length for the q-generalized code tree2007

    • Author(s)
      H. Suyari
    • Organizer
      2007 IEEE Int. Symp. on Inf. Theory (ISIT2007)
    • Place of Presentation
      Acropolis Congress and Exhibition Center, Nice, France
    • Year and Date
      2007-06-26
    • Related Report
      2009 Final Research Report
  • [Presentation] Tsallis entropy as a low er bound of average description length for the q-generalized code tree2007

    • Author(s)
      H.Suyari
    • Organizer
      2007 IEEE Inter. Symp. on Info. Th. (2007IEEE -ISIT)
    • Place of Presentation
      Acropolis Congress and Exhibition Center, Nice, France
    • Year and Date
      2007-06-26
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Tsallis entropy as a lower bound of average description length for the q-generalized code tree2007

    • Author(s)
      H. Suyari
    • Organizer
      2007 IEEE International Symposium on Information Theory (ISIT2007)
    • Place of Presentation
      Acropolis Congress and Exhibition Center, Nice, France
    • Year and Date
      2007-06-26
    • Related Report
      2007 Annual Research Report
  • [Presentation] "Canonical Fomulation of the Fokker Planck Equations Admitting Scale-Invariant Solutions"(招待講演)2007

    • Author(s)
      Sumiyoshi Abe
    • Organizer
      The UN/ESA/NASA Workshop on Basic Space Science and the International Heliophysical Year 2007
    • Place of Presentation
      国立天文台(日本)
    • Year and Date
      2007-06-20
    • Related Report
      2007 Annual Research Report
  • [Presentation] On some properties of generalized skew information2007

    • Author(s)
      K. Yanagi
    • Organizer
      Workshop on Mathematical Analysis and Applications 2007
    • Place of Presentation
      九州工業大学
    • Year and Date
      2007-06-12
    • Related Report
      2009 Final Research Report
  • [Presentation] On some properties of generahzed skew information2007

    • Author(s)
      K.Yanagi.
    • Organizer
      Workshop on Mathematical Analysis and Applications 2007
    • Place of Presentation
      九州工業大学
    • Year and Date
      2007-06-12
    • Related Report
      2007 Annual Research Report
  • [Presentation] On some inequahties appearing in communication theory2007

    • Author(s)
      K. Yanagi.
    • Organizer
      The Fifth Intemational Conference on Nonhinear Analysis and Convex Analysis
    • Place of Presentation
      National Tsing-Hua University
    • Year and Date
      2007-06-03
    • Related Report
      2007 Annual Research Report
  • [Presentation] Scaling property and Tsallis entropy derived from a fundamental nonlinear differential equation2006

    • Author(s)
      H. Suyari, T. Wada
    • Organizer
      Proc. of the 2006 Int. Symp. on Inf. Theory and its Appli. (ISITA2006)
    • Place of Presentation
      ソウル (韓国)
    • Year and Date
      2006-10-30
    • Related Report
      2009 Final Research Report
  • [Book] 複雑系のための基礎数理2010

    • Author(s)
      須鎗弘樹
    • Total Pages
      251
    • Publisher
      牧野書店
    • Related Report
      2009 Final Research Report
  • [Book] Mathematical aspects of generalized entropies and their applications (the proceedings of 2009 RIMS conference in Kyoto)2010

    • Author(s)
      H. Suyari, A. Ohara, T. Wada, eds
    • Publisher
      JPCS
    • Related Report
      2009 Final Research Report
  • [Book] 牧野書店2010

    • Author(s)
      須鎗弘樹
    • Publisher
      複雑系のための基礎数理(近刊(約250ページ))
    • Related Report
      2009 Annual Research Report
  • [Book] Applied Functional Analysis Information Sciences and Related Fields2007

    • Author(s)
      T.Murofushi, W.Takahashi & M.Tsukada
    • Total Pages
      301
    • Publisher
      Yokohama Publishers
    • Related Report
      2007 Annual Research Report
  • [Book] Proceedings of Symposium on Applied Functional Analysis : Information Sciences and Related Fields2007

    • Author(s)
      M.Murofushi, W.Takahashi, M.Tsukada
    • Publisher
      Yokohama Publishers(印刷中)
    • Related Report
      2006 Annual Research Report
  • [Remarks] 最終年度 (2009年度) に開いた国際ワークショップのサイト

    • URL

      http://www.icsd3.tj.chiba-u.jp/~rims2009/

    • Related Report
      2009 Final Research Report
  • [Remarks] 上記のワークショップの proceedings (査読有) のサイト Journal of Physics : Conference Series (JPCS), vol.201 (2010)

    • URL

      http://iopscience.iop.org/1742-6596/201/1

    • Related Report
      2009 Final Research Report
  • [Remarks] この科研で実施した研究集会のサイト

    • URL

      http://www.icsd3.tj.chiba-u.jp/~rims2009/

    • Related Report
      2009 Annual Research Report
  • [Remarks] この科研で実施した研究集会のProceedingsのサイト

    • URL

      http://iopscience.iop.org/1742-6596/201/1

    • Related Report
      2009 Annual Research Report
  • [Remarks] 最終年度(平成21 年度)に行われる国際ワークショップのホームページ

    • URL

      http://www.icsd3.tj.chiba-u.jp/~rims2009/

    • Related Report
      2008 Self-evaluation Report

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Published: 2006-04-01   Modified: 2016-04-21  

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