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Study of Geometry of a discrete space through randomness

Research Project

Project/Area Number 20244002
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field Geometry
Research InstitutionTohoku University

Principal Investigator

KOTANI Motoko  東北大学, 大学院・理学研究科, 教授 (50230024)

Co-Investigator(Kenkyū-buntansha) SHIOYA Takashi  東北大学, 大学院理学研究科, 教授 (90235507)
Co-Investigator(Renkei-kenkyūsha) ARAI Hitoshi  東京大学, 大学院数理科学研究科, 教授 (10175953)
KUMAGAI Takashi  京都大学, 数理解析研究所, 教授 (90234509)
IZEKI Hiroyasu  慶應義塾大学, 理工学部, 教授 (90244409)
NAYATANI Shin  名古屋大学, 大学院多元数理科学研究科, 教授 (70222180)
TATE Tatsuya  東北大学, 大学院理学研究科, 准教授 (00317299)
ISHIWATA Satoshi  山形大学, 大学院理学部, 准教授 (70375393)
Project Period (FY) 2008 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥38,610,000 (Direct Cost: ¥29,700,000、Indirect Cost: ¥8,910,000)
Fiscal Year 2011: ¥9,620,000 (Direct Cost: ¥7,400,000、Indirect Cost: ¥2,220,000)
Fiscal Year 2010: ¥9,620,000 (Direct Cost: ¥7,400,000、Indirect Cost: ¥2,220,000)
Fiscal Year 2009: ¥10,270,000 (Direct Cost: ¥7,900,000、Indirect Cost: ¥2,370,000)
Fiscal Year 2008: ¥9,100,000 (Direct Cost: ¥7,000,000、Indirect Cost: ¥2,100,000)
Keywordsランダムウォーク / ラプラシアン / 距離測度空間 / 非可換幾何学 / 熱方程式 / 質量輸送 / 相対エントロピー
Research Abstract

Aim of this research proposal is to develop new methods to study geometric objects with singularities, or discrete spaces, which are not accessible by traditional differential geometrical technics. Our idea is to apply probability theory to those geometric objects. Some results are obtained and published from international journals.

Report

(6 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report   Self-evaluation Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (179 results)

All 2012 2011 2010 2009 2008 Other

All Journal Article (66 results) (of which Peer Reviewed: 55 results) Presentation (105 results) (of which Invited: 28 results) Book (8 results)

  • [Journal Article] Asymptotic behavior of quantum walks on the line2012

    • Author(s)
      T.Sunada and T.Tate
    • Journal Title

      J.Funct. Anal.

      Volume: 262巻 Issue: 6 Pages: 2608-2645

    • DOI

      10.1016/j.jfa.2011.12.016

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Geometric analysis of Alexandrov spaces.2011

    • Author(s)
      Takashi Shioya
    • Journal Title

      Su Buqing memorial lectures

      Volume: 1巻 Pages: 31-46

    • NAID

      130004558881

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] COLLAPSING THREE-MANIFOLDS WITH A LOWER CURVATURE BOUND2011

    • Author(s)
      Takashi Shioya
    • Journal Title

      Tohoku Mathematical Journal, Second Series

      Volume: 63 Issue: 4 Pages: 471-487

    • DOI

      10.2748/tmj/1325886277

    • NAID

      110008764857

    • ISSN
      0040-8735, 2186-585X
    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Global Heat Kernel Estimates for Symmetric Jump Processes2011

    • Author(s)
      Z.-Q. Chen, P. Kim and T. Kumagai
    • Journal Title

      Trans. Amer. Math. Soc.

      Volume: 363巻 Issue: 9 Pages: 5021-5055

    • DOI

      10.1090/s0002-9947-2011-05408-5

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Geometric analysis on Alexandrov spaces2011

    • Author(s)
      Takashi Shioya
    • Journal Title

      Sugaku Expositions

      Volume: 24

    • NAID

      130004558881

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A TOPOLOGICAL SPLITTING THEOREM FOR WEIGHTED ALEXANDROV SPACES2011

    • Author(s)
      Kazuhiro Kuwae, Takashi Shioya
    • Journal Title

      Tohoku Mathematical Journal, Second Series

      Volume: 63 Issue: 1 Pages: 59-76

    • DOI

      10.2748/tmj/1303219936

    • NAID

      110008425969

    • ISSN
      0040-8735, 2186-585X
    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A topological splitting theorem for weighted Alexandrov spaces2011

    • Author(s)
      T.Shioya, Kazuhiro Kuwae
    • Journal Title

      Tohoku Math.J. 63 no.1

      Pages: 59-76

    • NAID

      110008425969

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Asymptotic Euler-Maclaurin formula over lattice polytopes2011

    • Author(s)
      T.Tate
    • Journal Title

      J.Funct.Anal. 260 no.2

      Pages: 501-540

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] An approach to superrigidity and fixed - point theorems via harmonic maps, Selected Papers on Analysis and Different-ial Equations2010

    • Author(s)
      Shin Nayatani and Hiroyasu Izeki
    • Journal Title

      AMS Translations

      Volume: 230巻 Pages: 135-160

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] A fixed-point property of finitely generated groups and an energy of equivariant maps,in Probabilistic Approach to Geometry2010

    • Author(s)
      H. Izeki
    • Journal Title

      ASPM

      Volume: 57巻 Pages: 171-188

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Diffusion on the scaling limit of the critical percolation cluster in the diamond hierarchical lattice2010

    • Author(s)
      B.M. Hambly、T. Kumagai
    • Journal Title

      Comm. Math. Phys

      Volume: 295 Issue: 1 Pages: 29-69

    • DOI

      10.1007/s00220-009-0981-3

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Probabilistic Approach to Geometry2010

    • Author(s)
      Edited, M.Kotani, M.Hino, T.Kumagai
    • Journal Title

      ASPM 157

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Diffusion on the scaling limit of the critical percolation cluster in the diamond hierarchical lattice.2010

    • Author(s)
      B.M.Hambly, T.Kumagai
    • Journal Title

      Comm.Math.Phys. 295

      Pages: 29-69

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] An approach to superrigidity and fixed-point theorems via harmonic maps2010

    • Author(s)
      Shin Nayatani, Hiroyasu Izeki
    • Journal Title

      Selected Papers on Analysis and Differential Equations, AMS Translations

      Volume: 230 Pages: 135-160

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 調和写像と超剛性・固定点性質2010

    • Author(s)
      納谷信
    • Journal Title

      RIMS研究集会「調和写像論の深化と展望」報告集、数理解析研究所講究録

      Volume: 1720 Pages: 112-138

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Framelet analysis of some geometrical illusions2010

    • Author(s)
      Hirotoshi Arai, Shinobu Arai
    • Journal Title

      Japan J.Indust.Appl.Math.

      Volume: 27 Pages: 23-46

    • NAID

      10027314496

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A fixed-point property of finitely generated groups and an energy of equivariant maps, in Probabilistic Approach to Geometry2010

    • Author(s)
      H.Izeki
    • Journal Title

      ASPM 57

      Pages: 171-188

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Symmetric jump processes : localization, heat kernels, and convergence2010

    • Author(s)
      R.F. Bass, M.Kassmann, T.Kumagai
    • Journal Title

      Ann.Inst.H.Poincare-Probabilites et Statistiques 46

      Pages: 59-71

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Diffusion on the scaling limit of the critical percolation cluster in the diamond hierarchical lattice2010

    • Author(s)
      B.M. Hambly, T.Kumagai
    • Journal Title

      Comm.Math.Phys 295

      Pages: 29-69

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Infinitesimal Bishop-Gromov condition for Alexandrov spaces, in Probabilistic Approach to Geometry2010

    • Author(s)
      T.Shioya, K.Kuwae
    • Journal Title

      ASPM 57

      Pages: 293-302

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article]2010

    • Author(s)
      M.Kotani, M.Hino, T.Kumagai
    • Journal Title

      Advanced Studies in Pure Mathematics 57, Probabilistic Approach to Geometry(Mathematical Society of Japan)

      Pages: 1-514

    • Related Report
      2009 Annual Research Report
  • [Journal Article] On heat kernel estimates and parabolic Harnack inequality for jump process on metric measure spaces2009

    • Author(s)
      Z.-Q.Chen、 P.Kim、T. Kumagai
    • Journal Title

      Acta Math. Sin.(Engl.ser.)

      Volume: 25巻 Issue: 7 Pages: 1067-1086

    • DOI

      10.1007/s10114-009-8576-7

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] A central limit theorem on modified graphs of nilpotent covering graphs2009

    • Author(s)
      S.Ishiwata
    • Journal Title

      Contemp. Math.

      Volume: 484巻 Pages: 59-72

    • DOI

      10.1090/conm/484/09465

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] New metallic carbon crystal2009

    • Author(s)
      Masahiro Itoh、 Motoko Kotani、 Hisashi Naito、Toshikazu Sunada、 Yoshiyuki Kawazoe、and Tadafumi Adschiri
    • Journal Title

      Phys. Rev. Lett.

      Volume: 102巻 Issue: 5

    • DOI

      10.1103/physrevlett.102.055703

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps2009

    • Author(s)
      M.T. Barlow、 R.F. Bass and T. Kumagai
    • Journal Title

      Math. Z

      Volume: 261巻 Issue: 2 Pages: 297-320

    • DOI

      10.1007/s00209-008-0326-5

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Spectral Analysis in Geometry and Number Theory2009

    • Author(s)
      M.Kotani, H.Naito, T.Tate
    • Journal Title

      Contemporary Mathematics (American Mathematical Society) 484

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Fixed-point property of random groups2009

    • Author(s)
      H.Izeki, T.Kondo, S.Nayatani
    • Journal Title

      Annals of Global Analysis and Geometry 35

      Pages: 363-379

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Fixed-point property of random groups2009

    • Author(s)
      H.Izeki, T.Kondo, S.Nayatani
    • Journal Title

      Ann.Global Anal.Geom.no.4 35

      Pages: 363-379

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On heat kernel estimates and parabolic Harnack inequality for jump process on metric measure spaces2009

    • Author(s)
      Z.-Q. Chen, R.Kim, T.Kumagai
    • Journal Title

      Acta Math.Sin.(Engl.ser.) 25

      Pages: 1067-1086

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A central limit theorem on modified graphs of nilpotent covering graphs2009

    • Author(s)
      S.Ishiwata
    • Journal Title

      Contemp.Math. 484

      Pages: 59-72

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ウェーブレット・フレームとその錯視研究への応用2009

    • Author(s)
      H.Arai, S.Arai
    • Journal Title

      可視化情報学会誌 29

      Pages: 10-17

    • NAID

      10025308372

    • Related Report
      2009 Annual Research Report
  • [Journal Article]2009

    • Author(s)
      J.P. Bourguignon, M.Kotani, Y.Mada, N.Tose
    • Journal Title

      Advanced Studies in Pure Mathematics 55, Noncommutativity and Singularities Proceedings of French-Japanese symposia held at IHES in 2006(Mathematical Society of Japan)

      Pages: 1-363

    • Related Report
      2009 Annual Research Report
  • [Journal Article] New metallic carbon crystal2009

    • Author(s)
      Masahiro Itoh, Motoko Kotani, Hisashi Naito, Toshikazu Sunada, Yoshiyuki Kawazoe, and Tadafumi Adschiri
    • Journal Title

      Phys. Rev. Lett. 102

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Alexandrov空間上の幾何解析2009

    • Author(s)
      塩谷隆
    • Journal Title

      数学 61

      Pages: 1-20

    • NAID

      130004558881

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 2D tight framelets with orientation selectivity suggested by vision science2009

    • Author(s)
      Hitoshi Arai and Shinobu Arai
    • Journal Title

      JSIAM Letters i

      Pages: 9-12

    • NAID

      130000104498

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 視覚と錯視の数学的研究2009

    • Author(s)
      新井仁之
    • Journal Title

      応用数理 19

      Pages: 39-41

    • NAID

      110007162491

    • Related Report
      2008 Annual Research Report
  • [Journal Article] 視覚の科学と数学第6回色の知覚と錯視2009

    • Author(s)
      新井仁之
    • Journal Title

      数理科学 547

      Pages: 75-79

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps2009

    • Author(s)
      M. T. Barlow, R. F. Bass and T. Kumagai
    • Journal Title

      Math. Z 261

      Pages: 297-320

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Heat kernel upper bounds for jump processes and the first exit time2009

    • Author(s)
      M. T. Barlow, A. Grigor'yan and T. Kumagai
    • Journal Title

      J. Reine Angew. Math 626

      Pages: 135-157

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Random walk on the incipient infinite cluster for oriented percolation in high dimensions2008

    • Author(s)
      M.T. Barlow、 A.A. Tarai、 T. Kumagai and G. Slade
    • Journal Title

      Comm. Math. Phys

      Volume: 278巻 Issue: 2 Pages: 385-431

    • DOI

      10.1007/s00220-007-0410-4

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] 視覚の科学と数学第1回視覚の数理モデルとウェーブレット2008

    • Author(s)
      新井仁之
    • Journal Title

      数理科学 542

      Pages: 64-69

    • Related Report
      2008 Annual Research Report
  • [Journal Article] 視覚の科学と数学第2回ウェーブレット・フィルタは脳内に存在するか?2008

    • Author(s)
      新井仁之
    • Journal Title

      数理科学 543

      Pages: 78-83

    • Related Report
      2008 Annual Research Report
  • [Journal Article] 視覚の科学と数学第3回視覚の非線形数理モデルと錯視発生のシミュレーション2008

    • Author(s)
      新井仁之
    • Journal Title

      数理科学 544

      Pages: 63-68

    • Related Report
      2008 Annual Research Report
  • [Journal Article] 視覚の科学と数学第4回錯視発生のシミュレーション/新しいウェーブレット・フレームの開発2008

    • Author(s)
      新井仁之
    • Journal Title

      数理科学 545

      Pages: 72-77

    • Related Report
      2008 Annual Research Report
  • [Journal Article] 視覚の科学と数学第5回視覚の数理モデルのためのウェーブレット・フレーム2008

    • Author(s)
      新井仁之
    • Journal Title

      数理科学 546

      Pages: 78-83

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Random walk on the incipient infinite cluster for oriented percolation in high dimensions2008

    • Author(s)
      M. T. Barlow, A. A. Tarai, T. Kumagai and G. Slade
    • Journal Title

      Comm. Math. Phys 278

      Pages: 385-431

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Heat kernel estimates for strongly recurrent random walk on random media2008

    • Author(s)
      T. Kumagai and J. Misumi
    • Journal Title

      J. Theoret. Probab 21

      Pages: 910-935

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Weighted Poincare Grisoryan233 ; inequality and heat kernelestimates Tor finite range jump processes2008

    • Author(s)
      Z. -Q. Chen, P. Kim and T. Kumagai
    • Journal Title

      Math. Ann 342

      Pages: 833-883

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the dichotomy in the heat kernel two sided estimates2008

    • Author(s)
      A. Grigor'yan anf T. Kumagai
    • Journal Title

      Proc. of Symposia in Pure Math 77

      Pages: 199-210

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Random walks on Galton-Watson trees with infinite variance offspring distribution conditioned to survive2008

    • Author(s)
      D. Croydon and T. Kumagai
    • Journal Title

      Electron. J. Probab 13

      Pages: 1419-1441

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Recent developments of analysis on fractals2008

    • Author(s)
      T. Kumagai
    • Journal Title

      Translations, Series 2 223

      Pages: 81-95

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the equivalence of parabolic Harnack inequalities and heat kernel estimates

    • Author(s)
      M.T.Barlow, A.Grigor'yan, T.Kumagai
    • Journal Title

      J.Math.Soc.Japan

      Volume: (掲載確定)(未定)(to appear)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Markov chain approximations to non-symmetric diffusions with bounded coefficients

    • Author(s)
      J.-D.Deuschel, T.Kumagai
    • Journal Title

      Comm.Pure Appl.Math.

      Volume: (掲載確定)(未定)(to appear)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Discrete Approximation of Symmetric Jump Processes on Metric Measure Spaces

    • Author(s)
      Z.-Q.Chen, P.Kim, T.Kumagai
    • Journal Title

      Probab.Theory Relat.Fields

      Volume: (掲載確定)(未定)(to appear)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] N-step energy of maps and fixed-point property of random groups

    • Author(s)
      Shin Nayatani, Hiroyasu Izeki, Takefumi Kondo
    • Journal Title

      Groups, Geometry, and Dynamics

      Volume: (未定)(to appear)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Convergence of symmetric Markov chains on Z^d

    • Author(s)
      R.F. Bass, T.Kumagai, T.Uemura
    • Journal Title

      Probab.Theory Relat.Fields (未定, To appear)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A priori Holder estimate, parabolic Harnack principle and heat kernel estimates for diffusions with jumps

    • Author(s)
      Z.-Q. Chen, T.Kumagai
    • Journal Title

      Rev.Mat.Iberoamericana (未定, To appear)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Uniqueness of Brownian motion on Sierpinski carpets

    • Author(s)
      M.T. Barlow, R.F. Bass, T.Kumagai, A.Teplyaev
    • Journal Title

      J.European Math.Soc. (未定, To appear)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A spectral analogue of the Meinardus theorem on asymptotics of the number of partitions

    • Author(s)
      T.Tate
    • Journal Title

      Asymptotic Analysis (未定, To appear)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Framelet analysis of some geometrical illusions

    • Author(s)
      H.Arai, S.Arai
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics (未定, To appear)

    • NAID

      10027314496

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Notes on Heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces

    • Author(s)
      T. Kumagai, Z. -Q. Chen and P. Kim
    • Journal Title

      Acta Math. Sinica (採用決定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A priori Hoelder 246 ; lder estimate, parabolic Harnack principle and heat kernel estimates for diffusions with jumps

    • Author(s)
      T. Kumagai and Z. -Q. Chen
    • Journal Title

      Rev. Mat. Iberoamericana (採用決定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Symmetric jump processes : localization, heat kernels, and convergence

    • Author(s)
      T. Kumagai
    • Journal Title

      Annales IHP (採用決定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An approach to superrigidity and fixed-point theorems via harmonicmaps

    • Author(s)
      H. Izeki and Shin Nayatani
    • Journal Title

      Sugaku Expositions (採用決定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fixed-point property of random groups

    • Author(s)
      H. Izeki, Takefumi Kondo and Shin Navatani
    • Journal Title

      Annals of Global Analysis and Geometry (採用決定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A fixed-point property of finitely generated groups and an energy of equivariant maps

    • Author(s)
      H. Izeki
    • Journal Title

      proceedings of the 1st MSJ-SI "Probabilistic Approach to Geometry" (採用決定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] Heat kernel estimates on connected sums with non-compact joint2012

    • Author(s)
      S. Ishiwata
    • Organizer
      Weekly Seminar
    • Place of Presentation
      香港中文大学, 香港
    • Year and Date
      2012-03-26
    • Related Report
      2011 Final Research Report
  • [Presentation] Quenched invariance principle for random walks and random divergence forms in random media on Cones2012

    • Author(s)
      T. Kumagai
    • Organizer
      The expanding art of expansions
    • Place of Presentation
      Eurandom、オランダ
    • Year and Date
      2012-02-14
    • Related Report
      2011 Final Research Report
  • [Presentation] Convergence of mixing times for sequences of random walks on finite graphs2011

    • Author(s)
      T. Kumagai
    • Organizer
      4th Cornell Conference on Analysis, Probability、and Mathematical Physics on Fractals
    • Place of Presentation
      Cornell University、 アメリカ
    • Year and Date
      2011-09-13
    • Related Report
      2011 Final Research Report
  • [Presentation] Markov chain approximations to non-symmetric diffusions with bounded coefficients2011

    • Author(s)
      T. Kumagai
    • Organizer
      5th international conferences on Stochastic Analysis and its Applications
    • Place of Presentation
      Bonn、ドイツ
    • Year and Date
      2011-09-05
    • Related Report
      2011 Final Research Report
  • [Presentation] Concentration, Ricci curvature, and eigenvalues of Laplacian2011

    • Author(s)
      Takashi Shioya
    • Organizer
      Metric Geometry and Applications
    • Place of Presentation
      The Purple Palace Nanjing, Nanjing、中国
    • Year and Date
      2011-07-28
    • Related Report
      2011 Final Research Report
  • [Presentation] A topological splitting theorem for weighted Alexandrov spaces2011

    • Author(s)
      Takashi Shioya
    • Organizer
      Geometry Seminar
    • Place of Presentation
      Capital Normal University, Beijing、中国
    • Year and Date
      2011-07-12
    • Related Report
      2011 Final Research Report
  • [Presentation] ランダム群の固定点性質2010

    • Author(s)
      井関裕靖
    • Organizer
      金沢大学理学部数理学談話会
    • Place of Presentation
      金沢大学理学部
    • Year and Date
      2010-12-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] Quaternionic CR geometry2010

    • Author(s)
      Shin Nayatani
    • Organizer
      Workshop on Parabolic Geometry
    • Place of Presentation
      東京大学玉原セミナーハウス
    • Year and Date
      2010-11-02
    • Related Report
      2010 Annual Research Report
  • [Presentation] 同変写像のエネルギーと有限生成群の剛性2010

    • Author(s)
      井関裕靖
    • Organizer
      福岡微分幾何学研究会
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2010-10-09
    • Related Report
      2010 Annual Research Report
  • [Presentation] 四元数CR幾何における可積分性2010

    • Author(s)
      納谷信
    • Organizer
      Geometry and Something(福岡大学微分幾何研究会)
    • Place of Presentation
      福岡大学
    • Year and Date
      2010-10-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] Asymptotic Euler-Maclaurin expansion over Delzant polytopes2010

    • Author(s)
      Tatsuya Tate
    • Organizer
      AMS-SMM 8th International Meeting at Berkeley
    • Place of Presentation
      University of California, Berkeley
    • Year and Date
      2010-06-04
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] 調和写像と超剛性・固定点性質2010

    • Author(s)
      納谷信
    • Organizer
      調和写像論の深化と展望
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-06-03
    • Related Report
      2010 Annual Research Report
  • [Presentation] ボトルネック型熱核評価を持つ多様体の幾何学的特徴付け2010

    • Author(s)
      石渡聡
    • Organizer
      日本数学会2010年度年会
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2010-03-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] Manifolds with a bottleneck type heat kernel estimate2010

    • Author(s)
      S.Ishiwata
    • Organizer
      Analysis and Geometry of Fractals and Metric Measure spaces
    • Place of Presentation
      香港中文大学、中国
    • Year and Date
      2010-03-20
    • Related Report
      2011 Final Research Report 2009 Annual Research Report
  • [Presentation] A splitting theorem for weighted Alexandrov spaces2010

    • Author(s)
      T.Shioya
    • Organizer
      幾何セミナー
    • Place of Presentation
      ノールダム大学、アメリカ
    • Year and Date
      2010-03-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] Geometric analysis on Alexandrov spaces2010

    • Author(s)
      T.Shioya
    • Organizer
      コロキウム講演
    • Place of Presentation
      ノールダム大学、アメリカ
    • Year and Date
      2010-03-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] ボトルネック型熱核評価を持つ多様体の幾何学的特徴付け2010

    • Author(s)
      石渡聡
    • Organizer
      数理学談話会
    • Place of Presentation
      金沢大学
    • Year and Date
      2010-02-10
    • Related Report
      2009 Annual Research Report
  • [Presentation] ボトルネック型熱核評価を持つ多様体の幾何学的特徴付け2010

    • Author(s)
      石渡聡
    • Organizer
      確率論と幾何学
    • Place of Presentation
      京都大学
    • Year and Date
      2010-01-09
    • Related Report
      2009 Annual Research Report
  • [Presentation] A splitting theorem for weighted Alexandrov spaces2010

    • Author(s)
      T.Shioya
    • Organizer
      第5回日中友好幾何学研究集会
    • Place of Presentation
      OIST(沖縄科学技術研究基盤整備機構
    • Related Report
      2009 Annual Research Report
  • [Presentation] Geometry and Analysis2009

    • Author(s)
      Motoko Kotani
    • Organizer
      International Conference "Geometry and Analysis"
    • Place of Presentation
      Paris 7、フランス
    • Year and Date
      2009-12-21
    • Related Report
      2011 Final Research Report 2009 Annual Research Report
  • [Presentation] ボトルネック型熱核評価を持つ多様体の幾何学的特徴付け2009

    • Author(s)
      石渡聡
    • Organizer
      確率論シンポジウム
    • Place of Presentation
      愛媛大学
    • Year and Date
      2009-12-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] 視覚と錯視の数理2009

    • Author(s)
      新井仁之
    • Organizer
      岡山大学創立60周年記念講演会「数理科学と諸科学の融合に向けて」
    • Place of Presentation
      岡山大学
    • Year and Date
      2009-12-12
    • Related Report
      2009 Annual Research Report
  • [Presentation] ランダム群の固定点性質2009

    • Author(s)
      井関裕靖
    • Organizer
      剛性セミナー
    • Place of Presentation
      名古屋大学大学院多元数理科学研究科
    • Year and Date
      2009-12-10
    • Related Report
      2009 Annual Research Report
  • [Presentation] いろいろな曲面の幾何学2009

    • Author(s)
      井関裕靖
    • Organizer
      現代数学講演会
    • Place of Presentation
      宮城県宮城第一高等学校
    • Year and Date
      2009-12-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] Heat kernel estimates for random walks on random media atcriticality2009

    • Author(s)
      T. Kumagai
    • Organizer
      Above the critical dimension
    • Place of Presentation
      Institut Henri Poincare, Paris、フランス
    • Year and Date
      2009-12-07
    • Related Report
      2011 Final Research Report
  • [Presentation] Heat kernel estimates for random walks on random media at criticality2009

    • Author(s)
      T.Kumagai
    • Organizer
      Above the critical dimension
    • Place of Presentation
      Institut Henri Poincare Paris、フランス
    • Year and Date
      2009-12-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] Asymptotic Euler-Maclaurin formula over Delzant polytopes2009

    • Author(s)
      T.Tate
    • Organizer
      数理解析研究所研究集会「ポテンシャル論とベルグマン核」
    • Place of Presentation
      京都大学
    • Year and Date
      2009-12-03
    • Related Report
      2009 Annual Research Report
  • [Presentation] ランダム群の固定点性質2009

    • Author(s)
      井関裕靖
    • Organizer
      Geometry and Something
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2009-11-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] Euler-Maclaurin expansion over Delzant polytopes2009

    • Author(s)
      T.Tate
    • Organizer
      福岡大学微分幾何研究会「Geometry and Something」
    • Place of Presentation
      福岡大学
    • Year and Date
      2009-11-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] Geometry of crystal lattices2009

    • Author(s)
      Motoko Kotani
    • Organizer
      Series of Lectures
    • Place of Presentation
      北海道大学
    • Year and Date
      2009-11-02
    • Related Report
      2011 Final Research Report
  • [Presentation] ランダム群の固定点性質2009

    • Author(s)
      井関裕靖
    • Organizer
      岡山大学談話会
    • Place of Presentation
      岡山大学
    • Year and Date
      2009-10-28
    • Related Report
      2009 Annual Research Report
  • [Presentation] 離散ウェーブレット・フレームによる錯視の解析2009

    • Author(s)
      新井仁之
    • Organizer
      玉川大学学術研究所・脳科学研究所若手の会談話会
    • Place of Presentation
      玉川大学
    • Year and Date
      2009-10-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] 方位選択性をもつ2次元フレームレットと視覚科学2009

    • Author(s)
      新井仁之
    • Organizer
      日本応用数理学会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-30
    • Related Report
      2009 Annual Research Report
  • [Presentation] ウェーブレット・フレームの視覚と錯視の研究への応用2009

    • Author(s)
      新井仁之
    • Organizer
      第3回ウェーブレット変換およびその応用に関するワークショップ・講演会
    • Place of Presentation
      豊橋技術科学大学
    • Year and Date
      2009-09-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] Smallness of the first Neumann eigenvalues under a bottleneck heat kernel estimate2009

    • Author(s)
      石渡聡
    • Organizer
      Research seminar "Geometric Analysis"
    • Place of Presentation
      Bielefeld大学、ドイツ
    • Year and Date
      2009-09-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] Random walks on disordered media and their scaling limits2009

    • Author(s)
      T.Kumagai
    • Organizer
      The XXIst Rolf Nevanlinna Colloquium
    • Place of Presentation
      Kyoto University
    • Year and Date
      2009-09-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] An asymptotic Euler-Maclaurin formula for Delzant polytopes2009

    • Author(s)
      Tatsuya Tate
    • Organizer
      Third International Conference on Geometry and Qunatization
    • Place of Presentation
      Uiversity of Luxembourg、ルクセンブルク
    • Year and Date
      2009-09-10
    • Related Report
      2011 Final Research Report 2009 Annual Research Report
  • [Presentation] 数学的方法による錯視の研究2009

    • Author(s)
      新井仁之
    • Organizer
      錯覚ワークショップ-横断的錯覚科学は成立するか?
    • Place of Presentation
      明治大学
    • Year and Date
      2009-09-09
    • Related Report
      2009 Annual Research Report
  • [Presentation] ランダム群の固定点性質2009

    • Author(s)
      井関裕靖
    • Organizer
      第56回幾何学シンポジウム
    • Place of Presentation
      佐賀大学
    • Year and Date
      2009-08-28
    • Related Report
      2009 Annual Research Report
  • [Presentation] Convergence of discrete Markov chains to jump processes and its application to random conductance models2009

    • Author(s)
      T. Kumagai
    • Organizer
      Scaling Limits in Models of Statistical Mechanics
    • Place of Presentation
      Oberwolfach、ドイツ
    • Year and Date
      2009-08-20
    • Related Report
      2011 Final Research Report 2009 Annual Research Report
  • [Presentation] Convergence of discrete Markov chains to jump processes and its application to random conductance models2009

    • Author(s)
      T.Kumagai
    • Organizer
      Scaling Limits in Models of Statistical Mechanics
    • Place of Presentation
      Oberwolfach
    • Year and Date
      2009-08-20
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] Gradient heat kernel estimate on gluing2009

    • Author(s)
      石渡聡
    • Organizer
      33rd Conference on Stochastic Processes and Their Applications
    • Place of Presentation
      Berlin工科大学、ドイツ
    • Year and Date
      2009-07-29
    • Related Report
      2009 Annual Research Report
  • [Presentation] ランダム群の固定点性質2009

    • Author(s)
      井関裕靖
    • Organizer
      東北大学幾何セミナー
    • Place of Presentation
      東北大学
    • Year and Date
      2009-07-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] Discrete approximation of symmetric jump processes on metric measure spaces2009

    • Author(s)
      T.Kumagai
    • Organizer
      3rd international conference on stochastic analysis and its applications
    • Place of Presentation
      Beijing Instittute of Technology、中国
    • Year and Date
      2009-07-19
    • Related Report
      2009 Annual Research Report
  • [Presentation] ランダム群の固定点性質2009

    • Author(s)
      井関裕靖
    • Organizer
      慶応義塾大学微分幾何・トポロジーセミナー
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2009-07-06
    • Related Report
      2009 Annual Research Report
  • [Presentation] Mathematical challenge to a new phase of material sciences2009

    • Author(s)
      Motoko Kotani
    • Organizer
      Workshop "Boundaries"
    • Place of Presentation
      TU Graz、オーストリア
    • Year and Date
      2009-07-01
    • Related Report
      2011 Final Research Report 2009 Annual Research Report
  • [Presentation] Convergence of discrete Markov chains to jump processes2009

    • Author(s)
      T.Kumagai
    • Organizer
      Random Walks in Random Environments
    • Place of Presentation
      University of British Columbia、アメリカ
    • Year and Date
      2009-06-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] The gradient heat kernel estimate on gluings2009

    • Author(s)
      石渡聡
    • Organizer
      Research seminar "Geometric Analysis"
    • Place of Presentation
      Bielefeld大学、ドイツ
    • Year and Date
      2009-05-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] Geometric Analysis on Alexandrov spaces2009

    • Author(s)
      T. Shioya
    • Organizer
      Global Analysis and Differential Geometry
    • Place of Presentation
      佐賀大学
    • Year and Date
      2009-03-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] A mathematical challenge to material sciences2009

    • Author(s)
      Motoko Kotani
    • Organizer
      Colloqium talk
    • Place of Presentation
      Technische Universitaet Graz、オーストリア
    • Year and Date
      2009-03-18
    • Related Report
      2011 Final Research Report
  • [Presentation] A splitting theorem for weighted Alexandrov spaces2009

    • Author(s)
      塩谷隆
    • Organizer
      リーマン幾何と幾何解析
    • Place of Presentation
      筑波大学
    • Year and Date
      2009-02-21
    • Related Report
      2008 Annual Research Report
  • [Presentation] フラクタル螺旋錯視と新しいタイプのウェーブレット・フレーム2009

    • Author(s)
      新井仁之
    • Organizer
      日本視覚学会冬季大会
    • Place of Presentation
      工学院大学
    • Year and Date
      2009-01-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] Problems on asymptotic analysis over convex polytopes2009

    • Author(s)
      Tatsuya Tate
    • Organizer
      Inte rnational School on Geometry and Quantization
    • Place of Presentation
      University of Luxembourg、ルクセンブルク
    • Related Report
      2011 Final Research Report
  • [Presentation] Geometry of crystal lattices2009

    • Author(s)
      M.Kotani
    • Organizer
      Series of Lectures
    • Place of Presentation
      Hokkaido University
    • Related Report
      2009 Annual Research Report
  • [Presentation] Geometric aspect of measure concentration2009

    • Author(s)
      T.Shioya
    • Organizer
      RIMS研究集会「保存則と幾何学的偏微分方程式とその応用」
    • Place of Presentation
      京都大学
    • Related Report
      2009 Annual Research Report
  • [Presentation] Geometry of measure concentration2009

    • Author(s)
      T.Shioya
    • Organizer
      幾何セミナー
    • Place of Presentation
      東海大学
    • Related Report
      2009 Annual Research Report
  • [Presentation] Problems on asymptotic analysis over convex polytopes2009

    • Author(s)
      T.Tate
    • Organizer
      International School on Geometry and Quantization
    • Place of Presentation
      University of Luxembourg、ルクセンブルク
    • Related Report
      2009 Annual Research Report
  • [Presentation] A mathematical challenge to material sciences2009

    • Author(s)
      小谷元子
    • Organizer
      Colloqium talk
    • Place of Presentation
      Technische Universitaet Graz, Austria
    • Related Report
      2008 Annual Research Report
  • [Presentation] CAT(-1)空間への離散群の作用とその剛性2009

    • Author(s)
      H. Izeki
    • Organizer
      伊豆勉強会「CAT(-1)空間の幾何と群作用」
    • Place of Presentation
      長岡総合会館アクシスかつらぎ
    • Related Report
      2008 Annual Research Report
  • [Presentation] Collapsing three-manifolds with a lower curvature bound2008

    • Author(s)
      T. Shioya
    • Organizer
      The 4th Geometry Conference for the Friendship of China and Japan
    • Place of Presentation
      南開大学(中国)
    • Year and Date
      2008-12-26
    • Related Report
      2011 Final Research Report
  • [Presentation] Collapsing three-manifolds with a lower curvature bound2008

    • Author(s)
      T. Shioya
    • Organizer
      The 4th Geometry Conference for the Friends hip of China and Japan
    • Place of Presentation
      南開大学(中国)
    • Year and Date
      2008-12-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] Convergence of symmetric Markov chains2008

    • Author(s)
      T. Kumagai
    • Organizer
      AMS-SMS joint meeting
    • Place of Presentation
      Fudan大学(上海)
    • Year and Date
      2008-12-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] ウェーブレット・フレームを用いた視覚と錯視の研究2008

    • Author(s)
      新井仁之
    • Organizer
      第4回情報生命学セミナー
    • Place of Presentation
      豊橋技術科学大学
    • Year and Date
      2008-12-11
    • Related Report
      2008 Annual Research Report
  • [Presentation] Geometric aspect of random walk on a crystal lattice2008

    • Author(s)
      Motoko Kotani
    • Organizer
      Algebras,Operators and Noncommutative Geometry
    • Place of Presentation
      Australian national University Australia、オーストラリア
    • Year and Date
      2008-12-01
    • Related Report
      2011 Final Research Report
  • [Presentation] Fixed-point property of random groups2008

    • Author(s)
      H. Izeki
    • Organizer
      福岡微分幾何研究会
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2008-11-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] Geometric aspect of random walk on a crystal lattice2008

    • Author(s)
      Motoko Kotani
    • Organizer
      Perspectives in mathematical sciences
    • Place of Presentation
      東京大学
    • Year and Date
      2008-10-08
    • Related Report
      2011 Final Research Report
  • [Presentation] 視覚と錯視の数学的研究, 総合講演2008

    • Author(s)
      新井仁之
    • Organizer
      日本応用数理学会2008年度年会
    • Place of Presentation
      東京大学
    • Year and Date
      2008-09-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] Uniqueness of Brownian motion on Sierpinski carpets2008

    • Author(s)
      T. Kumagai
    • Organizer
      Stochastic Analysis and Applications 2008
    • Place of Presentation
      九州大学西新プラザ
    • Year and Date
      2008-09-08
    • Related Report
      2008 Annual Research Report
  • [Presentation] Geometric analysis on Alexandrov spaces2008

    • Author(s)
      T.Shioya
    • Organizer
      Sminaire Borel : New approaches to curvature
    • Place of Presentation
      スイスレデイアブラレ
    • Year and Date
      2008-08-25
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] A fixed-point property of discrete groups and energy of equivariantmaps2008

    • Author(s)
      H. Izeki
    • Organizer
      1st MSJ-SI "Probabilistic Approach to Geometry"
    • Place of Presentation
      京都大学
    • Year and Date
      2008-08-05
    • Related Report
      2008 Annual Research Report
  • [Presentation] Geometric Analysis on Alexandrov spaces2008

    • Author(s)
      T. Shioya
    • Organizer
      Probabilstic approach to geometry
    • Place of Presentation
      京都大学
    • Year and Date
      2008-07-31
    • Related Report
      2008 Annual Research Report
  • [Presentation] Bernstein measures on convex polytopes2008

    • Author(s)
      Tatsuya Tate
    • Organizer
      The Mathematical Society of Japan、 Seasonal Institute
    • Place of Presentation
      京都大学百周年時計台記念館 国際交流ホール
    • Year and Date
      2008-07-29
    • Related Report
      2011 Final Research Report
  • [Presentation] Bernstein measures on convex polytopes2008

    • Author(s)
      Tatsuya Tate
    • Organizer
      The Mathematical Society of Japan, Seasonal Institute
    • Place of Presentation
      京都大学百周年時計台記念館国際交流ホール
    • Year and Date
      2008-07-29
    • Related Report
      2008 Annual Research Report
  • [Presentation] Uniqueness of Brownian motion on Sierpinski carpets2008

    • Author(s)
      T.Kumagai
    • Organizer
      Stochastic Analysis
    • Place of Presentation
      Oberwolfach研究所(ドイツ)
    • Related Report
      2010 Self-evaluation Report 2008 Annual Research Report
  • [Presentation] Geometric aspect of random walk on a crystal lattice2008

    • Author(s)
      小谷元子
    • Organizer
      Perspectives in mathematical science
    • Place of Presentation
      Tokyo University
    • Related Report
      2008 Annual Research Report
  • [Presentation] Geometric aspect of random walk on a crystal lattice2008

    • Author(s)
      小谷元子
    • Organizer
      Algebras, Operators and Noncommutative Geometry
    • Place of Presentation
      Australian national University Australia
    • Related Report
      2008 Annual Research Report
  • [Presentation] Geometric Analysis on Alexandrov spaces2008

    • Author(s)
      T. Shioya
    • Organizer
      New approaches to curvature
    • Place of Presentation
      レ・デイアブラレ(スイス)
    • Related Report
      2008 Annual Research Report
  • [Presentation] 離散群の剛性への幾何学的アプローチ

    • Author(s)
      納谷 信
    • Organizer
      仙台シンポジウム
    • Place of Presentation
      東北大学(仙台)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Deformation of polyhedra towards Margulis superrigidity

    • Author(s)
      納谷 信
    • Organizer
      Geometry and Something (福岡大学微分幾何研究会)
    • Place of Presentation
      福岡大学(福岡)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Deformation of polyhedra towards Margulis superrigidity

    • Author(s)
      納谷 信
    • Organizer
      極小曲面と幾何構造
    • Place of Presentation
      名城大学(名古屋)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Asymptotic Euler-Maclaurin formula over lattice polytopes

    • Author(s)
      楯 辰哉
    • Organizer
      Lie Groups: Geometry and Analysis
    • Place of Presentation
      Universitat Paderborn, Germany
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] A formula of Plancherel-Rotach type for quantum walks on the line

    • Author(s)
      楯 辰哉
    • Organizer
      福岡大学微分幾何研究会「Geometry and Something」
    • Place of Presentation
      福岡大学(福岡)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] 量子酔歩に対する Plancherel-Rotach 型公式

    • Author(s)
      楯 辰哉
    • Organizer
      量子化の幾何学 2011
    • Place of Presentation
      早稲田大学(東京)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] A formula of Plancherel-Rotach type for quantum walks on the line

    • Author(s)
      楯 辰哉
    • Organizer
      Mathematical approach to emerging topics in material science 2012
    • Place of Presentation
      東北大学(仙台)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] A formula of Plancherel-Rotach type for quantum walks on the line

    • Author(s)
      楯 辰哉
    • Organizer
      第 11 回名古屋国際数学コンファレンス,Topology and Analysis on Foliations
    • Place of Presentation
      名古屋大学(名古屋)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Convergence of centered Markov chains to non-symmetric diffusions with bounded coefficients

    • Author(s)
      T. Kumagai
    • Organizer
      Stochastic Partial Differential Equations and Related Topics
    • Place of Presentation
      Tianjin, China
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Convergence of mixing times for sequences of random walks on graphs

    • Author(s)
      T. Kumagai
    • Organizer
      Stochastic Analysis
    • Place of Presentation
      Oberwolfach, Germany
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Markov chain approximations to non-symmetric diffusions with bounded coefficients

    • Author(s)
      T. Kumagai
    • Organizer
      5th international conferences on Stochastic Analysis and its Applications
    • Place of Presentation
      Bonn, Germany
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Convergence of mixing times for sequences of random walks on finite graphs

    • Author(s)
      T. Kumagai
    • Organizer
      4th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals
    • Place of Presentation
      Cornell University, U.S.A.
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Quenched invariance principle for random walks and random divergence forms in random media on cones

    • Author(s)
      T. Kumagai
    • Organizer
      Stochastic Analysis on Large Scale Interacting Systems
    • Place of Presentation
      高知大学(高知)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Quenched invariance principle for random walks and random divergence forms in random media on cones

    • Author(s)
      T. Kumagai
    • Organizer
      The expanding art of expansions
    • Place of Presentation
      Eurandom, Netherlands
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] ランダム媒質中の対称マルコフ連鎖の挙動とそのスケール極限

    • Author(s)
      熊谷 隆
    • Organizer
      談話会
    • Place of Presentation
      京都大学(京都)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] ランダム媒質中の対称マルコフ連鎖の挙動とそのスケール極限

    • Author(s)
      熊谷 隆
    • Organizer
      談話会
    • Place of Presentation
      名古屋大学(名古屋)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] ランダム媒質中の対称マルコフ連鎖の挙動とそのスケール極限

    • Author(s)
      熊谷 隆
    • Organizer
      談話会
    • Place of Presentation
      東北大学(仙台)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Heat kernel estimates on connected sums with non-compact joint

    • Author(s)
      石渡 聡
    • Organizer
      Cornell Analysis Seminar
    • Place of Presentation
      Cornell University, U.S.A.
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Heat kernel estimates on connected sums with non-compact joint

    • Author(s)
      石渡 聡
    • Organizer
      Weekly Seminar
    • Place of Presentation
      香港中文大学, 香港
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] ランダム群の固定点性質

    • Author(s)
      井関 裕靖
    • Organizer
      東北大学理学部数学教室談話会
    • Place of Presentation
      東北大学(仙台)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] ランダム群の固定点性質

    • Author(s)
      井関 裕靖
    • Organizer
      仙台シンポジウム2011
    • Place of Presentation
      東北大学(仙台)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Coxeter polyhedra in hyperbolic spaces

    • Author(s)
      井関 裕靖
    • Organizer
      福岡微分幾何学研究会
    • Place of Presentation
      福岡大学(福岡)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] ランダム群の固定点性質

    • Author(s)
      井関 裕靖
    • Organizer
      大阪大学理学部数学教室談話会
    • Place of Presentation
      大阪大学(大阪)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Measure concentration and eigenvalues of Laplacian

    • Author(s)
      Takashi Shioya
    • Organizer
      Colloquium Talk
    • Place of Presentation
      Capital Normal University, Beijing, China
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] A topological splitting theorem for weighted Alexandrov spaces

    • Author(s)
      Takashi Shioya
    • Organizer
      Geometry Seminar
    • Place of Presentation
      Capital Normal University, Beijing, China
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Concentration, Ricci curvature, and eigenvalues of Laplacian

    • Author(s)
      Takashi Shioya
    • Organizer
      Metric Geometry and Applications
    • Place of Presentation
      The Purple Palace Nanjing, Nanjing, China
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Survey of geometry of measure concentration

    • Author(s)
      塩谷 隆
    • Organizer
      Sendai Seminar
    • Place of Presentation
      東北大学(仙台)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Presentation] Concentration, Ricci curvature, and eigenvalues of Laplacian

    • Author(s)
      塩谷 隆
    • Organizer
      Geometry and Something
    • Place of Presentation
      福岡大学(福岡)
    • Related Report
      2011 Annual Research Report
    • Invited
  • [Book] Probabilistic approach to geometry2011

    • Author(s)
      Motoko Kotani、Masanori Hino and Takashi Kumagai
    • Total Pages
      514
    • Publisher
      日本数学会
    • Related Report
      2011 Final Research Report
  • [Book] Advanced Studies in Pure Mathematics 57、Probabilistic Approach to Geometry2010

    • Author(s)
      M. Kotani、M. Hino、T. Kumagai
    • Total Pages
      514
    • Publisher
      Mathematical Society of Japan
    • Related Report
      2011 Final Research Report
  • [Book] ウェーブレット2010

    • Author(s)
      新井仁之
    • Publisher
      共立出版
    • Related Report
      2010 Self-evaluation Report 2009 Annual Research Report
  • [Book] Probabilistic approach to geometry2010

    • Author(s)
      Motoko Kotani, Masanori Hino, Takashi Kumagai
    • Total Pages
      514
    • Publisher
      日本数学会
    • Related Report
      2010 Annual Research Report
  • [Book] 基礎微分幾何,数理科学別冊2010

    • Author(s)
      T.Shioya
    • Total Pages
      204
    • Publisher
      サンエンス社
    • Related Report
      2009 Annual Research Report
  • [Book] Advanced Studies in Pure Mathematics 55、 Noncommutativity and Singularities Proceedings of French-Japanese symposia held at IH.S in 20062009

    • Author(s)
      J. P. Bourguignon、M. Kotani、Y. Mada, N. Tose
    • Total Pages
      363
    • Publisher
      Mathematical Society of Japan
    • Related Report
      2011 Final Research Report
  • [Book] 視覚の数理モデルと新しいウェーブレット・フレームの構成2008

    • Author(s)
      新井仁之
    • Publisher
      ACADEMIC GRROVE東京大学創立130周年記念出版
    • Related Report
      2008 Annual Research Report
  • [Book] 錯視の数理2008

    • Author(s)
      新井仁之
    • Publisher
      合原一幸編著『社会を変える驚きの数学』(ウェッジ選書)
    • Related Report
      2008 Annual Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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