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Level Statistics for Random Schroedinger Operators

Research Project

Project/Area Number 22540140
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionGakushuin University

Principal Investigator

NAKANO Fumihiko  学習院大学, 理学部, 教授 (10291246)

Co-Investigator(Renkei-kenkyūsha) MINAMI Nariyuki  慶応大学, 医学部, 教授 (10183964)
UEKI Naomasa  京都大学, 人間環境学研究科, 教授 (80211069)
SADAHIRO Taizo  津田塾大学, 学芸学部, 准教授 (00280454)
Project Period (FY) 2010-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywordsランダムシュレーディンガー作用素 / 準位統計 / ランダム行列 / 点過程 / ベータアンサンブル / ランダムポテンシャル / 確率微分方程式 / ランダムシュレディンガー作用素 / βアンサンブル / シュレーディンガー作用素 / 確率論
Research Abstract

We study the level statistics problem for 1-dimensional Schroedinger operators with random decaying potential. That is, we restrict our Hamiltonian on a bounded interval, consider a point process composed of the rescaled eigenvalues of this truncated Hamiltonian, and then study its infinite volume limit. The result is : (i) rapid decay case : the point process converges to the clock process, and second order asymptotics converges to Gaussian, (ii) critical decay case : the point process converges to that of the circular beta ensemble, as well as that of the Gaussian beta ensemble, thus yielding the coincidence of these two processes as a corollary.

Report

(5 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (99 results)

All 2014 2013 2012 2011 2010 Other

All Journal Article (24 results) (of which Peer Reviewed: 13 results) Presentation (75 results) (of which Invited: 10 results)

  • [Journal Article] On the level statistics problem for the one-dimensional Schroedinger operator with random decaying potential2014

    • Author(s)
      Shinichi Kotani and Fumihiko Nakano
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B45 Pages: 19-24

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
  • [Journal Article] A generalization of carries process and Eulerian numbers2014

    • Author(s)
      Fumihiko Nakano and Taizo Sadahiro
    • Journal Title

      Advances in Appled Mathematics

      Volume: Vol.53 Pages: 28-43

    • Related Report
      2013 Final Research Report
  • [Journal Article] Level statistics for one-dimensional Schroedinger operators and Gaussian beta ensemble2014

    • Author(s)
      Fumihiko NAKANO
    • Journal Title

      Journal of Statistical Physics

      Volume: 未定 Issue: 1 Pages: 66-93

    • DOI

      10.1007/s10955-014-0987-x

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Level statistics for the one-dimensional Schroedinger operator with random decaying potential,2014

    • Author(s)
      Shinichi Kotani and Fumihiko NAKANO
    • Journal Title

      Festschrift Masatoshi Fukushima

      Volume: 未定

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A generalization of carries process and Eulerian numbers2014

    • Author(s)
      Fumihiko Nakano and Taizo Sadahiro
    • Journal Title

      Advances in Applied Mathematics

      Volume: 53 Pages: 28-43

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A generalization of carries process2014

    • Author(s)
      Fumihiko Nakano and Taizo Sadahiro
    • Journal Title

      FPSAC 2014, proceeding volume of Discrete Mathematics and Theoretical Computer Science

      Volume: 未定

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hitting matrix and domino tiling with diagonal impurities2013

    • Author(s)
      Fumihiko Nakano and Taizo Sadahiro
    • Journal Title

      J.Stat.Phys.

      Volume: Vol.151, No.6 Pages: 1035-1055

    • Related Report
      2013 Final Research Report
  • [Journal Article] On the level statistics problem for the one-dimensional Schroedinger operator with random decaying potential,2013

    • Author(s)
      Shinichi Kotani,Fumihiko Nakano
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 0 Pages: 0-0

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hitting matrix and domino tiling with diagonal impurities2013

    • Author(s)
      Nakano, F., Sadahiro, T
    • Journal Title

      J. Stat. Phys

      Volume: 151(no. 6) Issue: 6 Pages: 1035-1055

    • DOI

      10.1007/s10955-013-0744-6

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A $(-¥beta)$-expansion associated to Sturmian sequences2012

    • Author(s)
      Fumihiko Nakano and Taizo Sadahiro
    • Journal Title

      Integers

      Volume: Vol.12, No.4 Pages: 571-600

    • Related Report
      2013 Final Research Report
  • [Journal Article] Domino tilings with diagonal impurities2012

    • Author(s)
      Fumihiko Nakano and Taizo Sadahiro
    • Journal Title

      Fundamenta, Informaticae

      Volume: Vol.117 Pages: 249-264

    • Related Report
      2013 Final Research Report
  • [Journal Article] Domino tilings with one diagonal impurity,2012

    • Author(s)
      Fumihiko Nakano, Taizo Sadahiro
    • Journal Title

      Fundamenta Informaticae

      Volume: 117 Pages: 249-264

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A $(-\beta)$-expansion associated to Sturmian sequences,2012

    • Author(s)
      Fumihiko Nakano, Taizo Sadahiro
    • Journal Title

      Integers

      Volume: 4 Pages: 571-600

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A -beta expansion associated to Sturmian sequences2012

    • Author(s)
      F.Nakano, T.Sadahiro
    • Journal Title

      Integers

      Volume: 12

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Domino Tilints with one diagonal impurity2012

    • Author(s)
      F.Nakano, T.Sadahiro
    • Journal Title

      Fundamental Informaticae

      Volume: 116 Pages: 1-16

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Ono and Taizo Sadahiro Connectedness of domino tilings with diagonalimpurities2010

    • Author(s)
      Fumihiko Nakano, Hirotaka
    • Journal Title

      Disc.Math.

      Volume: Vol.310 Pages: 1918-1931

    • Related Report
      2013 Final Research Report
  • [Journal Article] A bijection theorem for domino tiling with diagonal impurities2010

    • Author(s)
      Fumihiko Nakano and Taizo Sadahiro
    • Journal Title

      J.Stat.Phys.

      Volume: Vol.139, No.4 Pages: 565-597

    • Related Report
      2013 Final Research Report
  • [Journal Article] On some aspects of -beta expansion2010

    • Author(s)
      F, Nakano, T.Sadahiro
    • Journal Title

      RIMS Kokyuroku

      Volume: 1725 Pages: 92-105

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Connectedness of domino tilings with diagonal impurities2010

    • Author(s)
      F.Nakano, H.Ono, T.Sadahiro
    • Journal Title

      Discrete Mathematics

      Volume: 310 Pages: 1918-1931

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A bijection theorem for domino tiling with diagonal impurities2010

    • Author(s)
      F.Nakano, T.Sadahiro
    • Journal Title

      Journal of Statistical Physics

      Volume: 139 Pages: 565-597

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On some aspects of -beta-expansion2010

    • Author(s)
      F.Nakano, T.Sadahiro
    • Journal Title

      RIMS Kokyuroku

      Volume: 1725 Pages: 92-105

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Level statistics for the one-dimensional Schroedinger operators with random decaying potential

    • Author(s)
      Shinichi Kotani and Fumihiko Nakano
    • Journal Title

      Festschrift Masatoshi Fukushima

      Volume: (to appear)

    • Related Report
      2013 Final Research Report
  • [Journal Article] A generalization of carries process

    • Author(s)
      Fumihiko Nakano and Taizo Sadahiro
    • Journal Title

      the Proceeding of FPSAC 2014(Discrete Mathematics and Theoretical Computer Science Proceeding Volume)

      Volume: (to appear)

    • Related Report
      2013 Final Research Report
  • [Journal Article] Level statistics for one-dimensional Schroedinger operators and Gaussian beta ensemble

    • Author(s)
      Fumihiko Nakano
    • Journal Title

      J. Stat. Phys.

      Volume: (掲載決定)

    • Related Report
      2013 Final Research Report
  • [Presentation] A generalization of carries process2013

    • Organizer
      Geometric aspects in probability and analysis
    • Place of Presentation
      Jena
    • Year and Date
      2013-09-14
    • Related Report
      2013 Final Research Report
  • [Presentation] 1次元ランダムシュレーディンガー作用素の準位統計について2013

    • Organizer
      東京確率論セミナー
    • Place of Presentation
      東京工業大学
    • Year and Date
      2013-06-10
    • Related Report
      2013 Final Research Report
  • [Presentation] Thomas-Fermi理論入門2013

    • Organizer
      集中講義
    • Place of Presentation
      信州大学
    • Related Report
      2013 Final Research Report
  • [Presentation] A generalization of carries process2013

    • Organizer
      Markov chains on graphs and related topics
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] The level statistics for one-dimensional Schroedinger operator2013

    • Organizer
      QMath 12
    • Place of Presentation
      フンボルト大学、ベルリン
    • Related Report
      2013 Final Research Report
  • [Presentation] A generalization of carries process2013

    • Organizer
      タイル張り力学系とその周辺
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Final Research Report
  • [Presentation] The level statistics for one-dimensional Schroedinger operator2013

    • Organizer
      Random operators and related topics
    • Place of Presentation
      京都大学
    • Related Report
      2013 Final Research Report
  • [Presentation] The level statistics for one-dimensional Schroedinger operator2013

    • Organizer
      Sino-Japanese workshop on Fractals and Dynamical Systems
    • Place of Presentation
      Morningside Center of Mathematics, Chinese Academy of Sciences
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] 1次元ランダムシュレーディンガー作用素の準位統計について2013

    • Author(s)
      中野史彦
    • Organizer
      東京確率論セミナー
    • Place of Presentation
      東京工業大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] Level statistics problem for the one-dimensional Schroedinger operator with random decaying potential2013

    • Author(s)
      Fumihiko Nakano
    • Organizer
      QMath 12
    • Place of Presentation
      フンボルト大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] A generalization of the carries process2013

    • Author(s)
      Fumihiko Nakano
    • Organizer
      Geometric aspects in probability and analysis
    • Place of Presentation
      イエナ大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] A generalization of the carries process2013

    • Author(s)
      中野史彦
    • Organizer
      タイル張り力学系とその周辺
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Annual Research Report
  • [Presentation] Level statistics of 1-dimensional random Schroedinger operators and Gaussian beta ensemble2013

    • Author(s)
      Fumihiko Nakano
    • Organizer
      Random operators and related topics
    • Place of Presentation
      京都大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] Level statistics of 1-dimensional random Schroedinger operators2013

    • Author(s)
      Fumihiko Nakano
    • Organizer
      Sino-Japanese workshop on Fractals and Dynamical Systems
    • Place of Presentation
      Morning Center of Mathematics, Chinese Academy of Science
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] A generalization to carry process2013

    • Author(s)
      中野史彦
    • Organizer
      Markov chains on graphs and related topics
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Kenyon-Wilson理論とダイマーモデルへの応用2012

    • Organizer
      CRESTセミナー
    • Place of Presentation
      東北大学
    • Year and Date
      2012-07-26
    • Related Report
      2013 Final Research Report
  • [Presentation] Kenyon-Wilson理論とその応用について2012

    • Organizer
      東京力学系セミナー
    • Place of Presentation
      文京学院大学
    • Year and Date
      2012-05-19
    • Related Report
      2013 Final Research Report
  • [Presentation] 1次元ランダムシュレーディンガー作用素の準位統計について2012

    • Organizer
      応用解析セミナー
    • Place of Presentation
      熊本大学
    • Year and Date
      2012-03-10
    • Related Report
      2013 Final Research Report
  • [Presentation] The level statistics of one-dimensional Schroedinger operator with random decaying potential2012

    • Organizer
      Mathematics of quantum disordered systems
    • Place of Presentation
      Univ.Paris13
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] 1次元ランダムシュレーディンガー作用素の準位統計について2012

    • Organizer
      幾何学的偏微分方程式に対する保存則と正則性特異性の研究
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Final Research Report
  • [Presentation] エルゴード的シュレーディンガー作用素のスペクトル理論2012

    • Organizer
      集中講義
    • Place of Presentation
      新潟大学
    • Related Report
      2013 Final Research Report
  • [Presentation] 1次元ランダムシュレーディンガー作用素の準位統計について2012

    • Organizer
      微分方程式と数理物理
    • Place of Presentation
      国民宿舎野呂高原ロッジ
    • Related Report
      2013 Final Research Report
  • [Presentation] 1次元ランダムシュレーディンガー作用素の準位統計について2012

    • Organizer
      ランダム作用素とその周辺
    • Place of Presentation
      京都大学
    • Related Report
      2013 Final Research Report
  • [Presentation] 不純物を含むダイマーモデルについて2012

    • Organizer
      置換行列の数理科学
    • Place of Presentation
      琉球大学
    • Related Report
      2013 Final Research Report
  • [Presentation] Carry Process and Amazing Matrix2012

    • Organizer
      応用数学合同シンポジウム
    • Place of Presentation
      龍谷大学
    • Related Report
      2013 Final Research Report
  • [Presentation] The level statistics of one-dimensional Schroedinger operator with random decaying potential.2012

    • Author(s)
      中野史彦
    • Organizer
      Spring School of Random Matrix Theory
    • Place of Presentation
      Okinawa Institute of Technology
    • Related Report
      2012 Annual Research Report
  • [Presentation] Kenyon-Wilson 理論とその応用について2012

    • Author(s)
      中野史彦
    • Organizer
      東京力学系セミナー
    • Place of Presentation
      文京短期大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] Level statistics of 1-dimensional random Schroedinger operator with random decaying potential2012

    • Author(s)
      中野史彦
    • Organizer
      Mathematics of quantum disordered systems
    • Place of Presentation
      Univ. Paris 13
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Level statistics of 1-dimensional random Schroedinger operator with random decaying potential2012

    • Author(s)
      中野史彦
    • Organizer
      幾何学的偏微分方程式に対する保存則と正則性特異性の研究
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Kenyon-Wilson 理論とダイマーモデルへの応用2012

    • Author(s)
      中野史彦
    • Organizer
      CREST セミナー
    • Place of Presentation
      東北大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] 1次元ランダムシュレーディンガー作用素の準位統計について2012

    • Author(s)
      中野史彦
    • Organizer
      微分方程式と数理物理
    • Place of Presentation
      国民宿舎 野呂高原ロッジ
    • Related Report
      2012 Annual Research Report
  • [Presentation] Level statistics for 1-dimensional random Schroedinger operator2012

    • Author(s)
      中野史彦
    • Organizer
      ランダム作用素とその周辺
    • Place of Presentation
      京都大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] Carry Process and Amazing Matrix2012

    • Author(s)
      中野史彦
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] Domino Tilings with diagonal impurities2011

    • Author(s)
      中野史彦
    • Organizer
      Fractal Geometry and Ergodic Theory
    • Place of Presentation
      北京大学(招待講演)
    • Year and Date
      2011-12-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] 1次元シュレディンガー作用素の準位統計について2011

    • Author(s)
      中野史彦
    • Organizer
      スペクトル散乱理論とその周辺
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-12-14
    • Related Report
      2011 Annual Research Report
  • [Presentation] 1次元シュレディンガー作用素の準位統計について2011

    • Author(s)
      中野史彦
    • Organizer
      ランダム作用素のスペクトルと関連する話題
    • Place of Presentation
      京都大学
    • Year and Date
      2011-12-03
    • Related Report
      2011 Annual Research Report
  • [Presentation] 不純物を含むダイマーモデルについて2011

    • Organizer
      談話会
    • Place of Presentation
      鹿児島大学
    • Year and Date
      2011-11-24
    • Related Report
      2013 Final Research Report
  • [Presentation] 1次元シュレーディンガー作用素の準位統計について2011

    • Author(s)
      中野史彦
    • Organizer
      微分方程式と数理物理
    • Place of Presentation
      ヒルズサンピア山形
    • Year and Date
      2011-11-13
    • Related Report
      2011 Annual Research Report
  • [Presentation] 不純物を含むダイマーモデルについて2011

    • Author(s)
      中野史彦
    • Organizer
      日本数学会特別講演
    • Place of Presentation
      信州大学(招待講演)
    • Year and Date
      2011-09-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] ランダムシュレディンガー作用素の準位統計について2011

    • Author(s)
      中野史彦
    • Organizer
      微分方程式に対する幾何解析の展開
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-07-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] 1次元ランダムシュレーディンガー作用素の準位統計について2011

    • Organizer
      解析セミナー
    • Place of Presentation
      愛媛大学
    • Year and Date
      2011-07-08
    • Related Report
      2013 Final Research Report
  • [Presentation] 1次元ランダムシュレディンガー作用素の準位統計について2011

    • Author(s)
      中野史彦
    • Organizer
      愛媛大学解析セミナー
    • Place of Presentation
      愛媛大学な
    • Year and Date
      2011-07-08
    • Related Report
      2011 Annual Research Report
  • [Presentation] Domino tiling with impurities2011

    • Organizer
      Seminar
    • Place of Presentation
      Univ. Paris 13
    • Year and Date
      2011-03-21
    • Related Report
      2013 Final Research Report
  • [Presentation] Domino tiling with impurities2011

    • Author(s)
      中野史彦
    • Organizer
      Analysis seminar
    • Place of Presentation
      Univ.Paris Nord
    • Year and Date
      2011-03-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] 1次元ランダムシュレディンガー作用素の準位統計について2011

    • Author(s)
      中野史彦
    • Organizer
      熊本大学応用解析セミナー
    • Place of Presentation
      熊本大学
    • Year and Date
      2011-03-10
    • Related Report
      2011 Annual Research Report
  • [Presentation] Infinite divisibility of random measures for some random Schroedinger Operators2011

    • Author(s)
      中野史彦
    • Organizer
      北東数学研究会
    • Place of Presentation
      東北大学
    • Year and Date
      2011-02-22
    • Related Report
      2010 Annual Research Report
  • [Presentation] Domino tilings with impurities2011

    • Organizer
      Analysis on Graphs in Sendai 2010
    • Place of Presentation
      東北大学
    • Year and Date
      2011-02-21
    • Related Report
      2013 Final Research Report
  • [Presentation] Domino Tilings with impurities2011

    • Author(s)
      中野史彦
    • Organizer
      Analysis on Graphs in Sendai 2010
    • Place of Presentation
      東北大学
    • Year and Date
      2011-02-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] Infinite divisibility of random measures for some random Schroedinger operators2011

    • Organizer
      神楽坂セミナー
    • Place of Presentation
      東京理科大学
    • Year and Date
      2011-01-22
    • Related Report
      2013 Final Research Report
  • [Presentation] Infinite divisibility of random measures for some random Schroedinger Operators2011

    • Author(s)
      中野史彦
    • Organizer
      神楽坂解析セミナー
    • Place of Presentation
      東京理科大学
    • Year and Date
      2011-01-22
    • Related Report
      2010 Annual Research Report
  • [Presentation] Infinite divisibility of random measures for some random Schroedinger operators2011

    • Organizer
      北東数学研究集会
    • Place of Presentation
      東北大学
    • Related Report
      2013 Final Research Report
  • [Presentation] ランダムシュレーディンガー作用素の準位統計について2011

    • Organizer
      微分方程式に対する幾何解析の展望
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Final Research Report
  • [Presentation] 不純物を含むダイマーモデルについて2011

    • Organizer
      日本数学会特別講演
    • Place of Presentation
      信州大学
    • Related Report
      2013 Final Research Report
  • [Presentation] 1次元ランダムシュレーディンガー作用素の準位統計について2011

    • Organizer
      微分方程式と数理物理
    • Place of Presentation
      ヒルズサンピア山形
    • Related Report
      2013 Final Research Report
  • [Presentation] 1次元ランダムシュレーディンガー作用素の準位統計について2011

    • Organizer
      ランダム作用素のスペクトルと関連する話題
    • Place of Presentation
      京都大学
    • Related Report
      2013 Final Research Report
  • [Presentation] 1次元ランダムシュレーディンガー作用素の準位統計について2011

    • Organizer
      スペクトル散乱理論とその周辺
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Final Research Report
  • [Presentation] 不純物を含むダイマーモデルについて2011

    • Organizer
      自己相似タイリングの剛性定理とその周辺
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Final Research Report
  • [Presentation] Dimer model with diagonal impurities2011

    • Organizer
      Fractal Geometry and Ergodic Theory
    • Place of Presentation
      Morningside Center, Beijing, China
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] 不純物を含むダイマーモデルについて2010

    • Author(s)
      中野史彦
    • Organizer
      応用数学合同研究会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2010-12-16
    • Related Report
      2010 Annual Research Report
  • [Presentation] 準位統計の最近の話題から2010

    • Author(s)
      中野史彦
    • Organizer
      ランダム作用素のスペクトルと関連する話題
    • Place of Presentation
      慶応大学
    • Year and Date
      2010-12-09
    • Related Report
      2010 Annual Research Report
  • [Presentation] Distribution of eigenfunctions in the Anderson model2010

    • Author(s)
      中野史彦
    • Organizer
      Journees Mathematiques de Kairouan
    • Place of Presentation
      Kairouan, Chunisia
    • Year and Date
      2010-11-06
    • Related Report
      2010 Annual Research Report
  • [Presentation] 不純物を持つダイマーモデルについて2010

    • Organizer
      談話会
    • Place of Presentation
      高知大学
    • Year and Date
      2010-09-07
    • Related Report
      2013 Final Research Report
  • [Presentation] 不純物を含むダイマーモデルについて2010

    • Author(s)
      中野史彦
    • Organizer
      高知大学談話会
    • Place of Presentation
      高知大学
    • Year and Date
      2010-09-07
    • Related Report
      2010 Annual Research Report
  • [Presentation] 不純物を含むダイマーモデルについて2010

    • Organizer
      談話会
    • Place of Presentation
      学習院大学
    • Year and Date
      2010-07-20
    • Related Report
      2013 Final Research Report
  • [Presentation] 不純物を含むダイマーモデルについて2010

    • Author(s)
      中野史彦
    • Organizer
      学習院大学談話会
    • Place of Presentation
      学習院大学
    • Year and Date
      2010-07-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] On a beta expansion with negative bases2010

    • Author(s)
      中野史彦
    • Organizer
      Mathematics with quasiperiodic order
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-06-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] A remark on the discrete Schoedinger operators with random vector potential2010

    • Author(s)
      中野史彦
    • Organizer
      Workshop"Random Schroedinger Operators"
    • Place of Presentation
      EPFL Lausanne
    • Year and Date
      2010-06-04
    • Related Report
      2010 Annual Research Report
  • [Presentation] ランダムシュレーディンガー作用素の準位統計について2010

    • Organizer
      スペクトル理論セミナー
    • Place of Presentation
      学習院大学
    • Year and Date
      2010-05-15
    • Related Report
      2013 Final Research Report
  • [Presentation] ランダムシュレーディンガー作用素における準位統計について2010

    • Author(s)
      中野史彦
    • Organizer
      学習院大学スペクトル理論セミナー
    • Place of Presentation
      学習院大学
    • Year and Date
      2010-05-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] A remark on the discrete Schroedinger operators with random vector potential2010

    • Organizer
      Random Schroedinger Operators
    • Place of Presentation
      EPFL Lausanne
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] On a beta expansion with negative bases2010

    • Organizer
      Mathematics of Quasiperiodic Order
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Final Research Report
  • [Presentation] 高次元格子でのアンダーソン局在2010

    • Organizer
      サマースクール数理物理
    • Place of Presentation
      東京大学数理科学研究科
    • Related Report
      2013 Final Research Report
  • [Presentation] ダイマーモデルの基本的性質2010

    • Organizer
      集中講義
    • Place of Presentation
      高知大学
    • Related Report
      2013 Final Research Report
  • [Presentation] Distribution of eigenfunctions in the Anderson model2010

    • Organizer
      Journees Mathematiques de Kairouan
    • Place of Presentation
      チュニジア
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] 不純物を含むダイマーモデルについて2010

    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Related Report
      2013 Final Research Report

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Published: 2010-08-23   Modified: 2019-07-29  

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