Researcher Database

HORA Akihito
Faculty of Science Mathematics Mathematics
Professor

Researcher Profile and Settings

Affiliation

  • Faculty of Science Mathematics Mathematics

Job Title

    Professor

Research Interests

  • functional analysis, probability theory   

Research Areas

  • Mathematics / Basic analysis / Functional Analysis

Research Activities

Published Papers

  • Hora, A.
    Publ. RIMS Kyoto Univ. 51 691 - 708 2015 [Refereed][Not invited]
     Research paper (scientific journal)
  • Hora, A., Hirai, T.
    Kyoto J. Math. 54 (4) 775 - 817 2014 [Refereed][Not invited]
     Research paper (scientific journal)
  • Hirai, T., Hora, A.
    J. Math. Soc. Japan 66 (4) 1191 - 1226 2014 [Refereed][Not invited]
     Research paper (scientific journal)
  • Representations of symmetric groups and asymptotic combinatorics
    Hora, A.
    Sugaku Expositions 22 (1) 91 - 106 2009 [Refereed][Not invited]
     Research paper (scientific journal)
  • Limits of characters of wreath products ${\mathfrak S}_n(T)$ of a compact group $T$ with the symmetric groups and characters of ${\mathfrak S}_\infty(T)$, I
    Hirai, T., Hirai, E., Hora, A.
    Nagoya Math. J. 193 1 - 93 2009 [Refereed][Not invited]
     Research paper (scientific journal)
  • Hora, A., Hirai, T., Hirai, E.
    J. Math. Soc. Japan 60 (4) 1187 - 1217 2008 [Refereed][Not invited]
     Research paper (scientific journal)
  • Hora, A., Obata, N.
    Trans. Amer. Math. Soc. 360 (2) 899 - 923 2008 [Refereed][Not invited]
     Research paper (scientific journal)
  • Jucys-Murphy element and walks on modified Young graph
    Hora, A.
    Banach Center Publ. 73 223 - 235 2006 [Refereed][Not invited]
     Research paper (scientific journal)
  • Realizations of factor representations of finite type with emphasis on their characters for wreath products of compact groups with the infinite symmetric group
    Hirai, T., Hirai, E., Hora, A.
    J. Math. Kyoto Univ. 46 (1) 75 - 106 2006 [Refereed][Not invited]
     Research paper (scientific journal)
  • Remark on Biane's character formula and concentration phenomenon in asymptotic representation theory
    Hora, A.
    Infinite Dimensional Harmonic Analysis 3 141 - 159 2005 [Refereed][Not invited]
     Research paper (international conference proceedings)
  • The limit shape of Young diagrams for Weyl groups of type B
    Hora, A.
    Oberwolfach Reports 2 (2) 2005 [Refereed][Not invited]
     Research paper (international conference proceedings)
  • An interacting Fock space with periodic Jacobi parameter obtained from regular graphs in large scale limit
    Hora, A., Obata, N.
    Quantum Information 5 121 - 144 2005 [Refereed][Not invited]
     Research paper (international conference proceedings)
  • Hora, A.
    Interdisciplinary Information Sciences 10 (1) 1 - 10 2004 [Refereed][Not invited]
     Research paper (scientific journal)
  • A noncommutative version of Kerov's Gaussian limit for the Plancherel measure of the symmetric group
    Hora, A.
    Lecture Notes in Math. 1815 77 - 88 2003 [Refereed][Not invited]
     Research paper (international conference proceedings)
  • Quantum decomposition and quantum central limit theorem
    Hora, A., Obata, N.
    Quantum Probability and White Noise Analysis 17 284 - 305 2003 [Refereed][Not invited]
     Research paper (international conference proceedings)
  • Hora, A.
    Inf. Dimen. Anal. Quantum Probab. Rel. Top. 6 (1) 139 - 143 2003 [Refereed][Not invited]
     Research paper (scientific journal)
  • Hashimoto, Y., Hora, A., Obata, N.
    J. Math. Phys. 44 (1) 71 - 88 2003 [Refereed][Not invited]
     Research paper (scientific journal)
  • Noncommutative aspect of central limit theorem for the irreducible characters of the symmetric groups
    Hora, A.
    Quantum Probability and White Noise Analysis 16 318 - 328 2002 [Refereed][Not invited]
     Research paper (international conference proceedings)
  • Gibbs state, quadratic embedding, and central limit theorem on large graphs
    Hora, A.
    Quantum Information 3 67 - 74 2001 [Refereed][Not invited]
     Research paper (international conference proceedings)
  • Gibbs state on a distance-regular graph and its application to a scaling limit of the spectral distributions of discrete Laplacians
    Hora, A.
    Prbability Theory and Related Fields 118 115 - 130 2000 [Refereed][Not invited]
     Research paper (scientific journal)
  • An axiomatic approach to the cut-off phenomenon for random walks on large distance-regular graphs
    Hora, A.
    Hiroshima Mathematical Journal 30 (2) 271 - 299 2000 [Refereed][Not invited]
     Research paper (scientific journal)
  • Scaling limit of the spectral distributions of the Laplacians on large graphs
    Hora, A.
    Infinite dimensional harmonic analysis 2 192 - 202 2000 [Refereed][Not invited]
     Research paper (international conference proceedings)
  • Central limit theorems and asymptotic spectral analysis on large graphs
    Hora, A.
    Infinite Dimensional Analysis Quantum Probability, and Related Topics 1 (2) 221 - 246 1998 [Refereed][Not invited]
     Research paper (scientific journal)
  • Hora, A.
    Communications in Mathematical Physics 195 (2) 405 - 416 1432-0916|0010-3616 1998 [Refereed][Not invited]
     Research paper (international conference proceedings)
  • Hora, A.
    Publications of Research Institute for Mathematical Sciences 33 (4) 695 - 710 1997 [Refereed][Not invited]
     Research paper (scientific journal)
  • A critical phenomenon appearing in the process of particle diffusion in classical statistical mechanics
    Hora, A.
    Journal of Faculty of Environmental Science and Technology, Okayama University 2 1 - 8 1997 [Not refereed][Not invited]
     Research paper (bulletin of university, research institution)
  • Random walks and isotropic Markov chains on homogeneous spaces
    Hora, A.
    Journal of Faculty of Environmental Science and Technology, Okayama University 1 21 - 26 1996 [Not refereed][Not invited]
     Research paper (bulletin of university, research institution)
  • Towards critical phenomena for random walks on various algebraic structures
    Hora, A.
    Infinite dimensional harmonic analysis 1 113 - 127 1996 [Refereed][Not invited]
     Research paper (international conference proceedings)
  • Hora, A.
    Publications of Research Institute for Mathematical Sciences 29 153 - 159 1993 [Refereed][Not invited]
     Research paper (scientific journal)
  • Hora, A.
    Journal of Theoretical Probability 5 (1) 71 - 100 1572-9230|0894-9840 1992 [Refereed][Not invited]
     Research paper (scientific journal)
  • Quasi-invariant measures on commutative Lie groups of infinite product type
    Hora, A.
    Mathematische Zeitschrift 206 169 - 192 1991 [Refereed][Not invited]
     Research paper (scientific journal)
  • Hora, A.
    Publications of Research Institute for Mathematical Sciences 24 (5) 739 - 757 1988 [Refereed][Not invited]
     Research paper (scientific journal)
  • Yamasaki, Y., Hora, A.
    Publications of Research Institute for Mathematical Sciences 23 (2) 275 - 296 1987 [Refereed][Not invited]
     Research paper (scientific journal)

Books etc

  • The Limit Shape Problem for Ensembles of Young Diagrams
    Hora, A. ()
    Springer 2016 Single Work
  • Projective representations and spin characters of complex reflection groups $G(m,p,n)$ and $G(m,p,\infty)$
    Hirai, T., Hora, A., Hirai, E. ()
    Mathematical Society of Japan 2013 Joint Work
  • Infinite Dimensional Harmonic Analysis
    Hilgert, J., Hora, A., Kawazoe, A., Nishiyama, K., Voit, M. ()
    World Scientific 2008 Joint Editor
  • Quantum Probability and Spectral Analysis of Graphs
    Hora, A., Obata, N. ()
    Springer 2007 Joint Work
  • Non-Commutativity, Infinite Dimensionality and Probability at the Crossroads
    Obata, N., Matsui, T., Hora, A. ()
    World Scientific 2002 Joint Editor

Conference Activities & Talks

  • Dynamical scaling limit of the restriction-induction chain on Young diagrams in terms of free probability  [Invited]
    HORA Akihito
    Random Matrices and Their Applications  2018/05
  • Markov chains, graph spectra, and some static/dynamic scaling limits  [Invited]
    HORA Akihito
    第3回代数的組合せ論「仙台勉強会」  2018/03
  • On evolution of macroscopic profiles (and their global fluctuations) for growing random Young diagrams  [Invited]
    HORA Akihito
    第19回北東数学解析研究会  2018/02
  • Dynamic model for limit profiles and their Gaussian fluctuations in Young diagram ensembles  [Invited]
    HORA Akihito
    Mathematical Aspects of Quantum Fields and Related Topics  2017/06
  • On a dynamic model for limit profiles and their Gaussian fluctuations in group-theoretical ensembles of Young diagrams  [Invited]
    HORA Akihito
    Colloquium RIMS Kyoto Univ.  2017/05
  • Application of free probability to dynamical limit shapes of random Young diagrams  [Not invited]
    HORA Akihito
    One-day workshop on Interface between Commutative and Non-Commutative Stochastic Analysis  2017/03
  • Growth process of multi-diagrams, its Martin boundary, and characters of an inductive limit group  [Invited]
    HORA Akihito
    Markov Chains on Graphs and Related Topics, RIMS International Project Research 2012: Discrete Geometric Analysis  2013/02
  • Harmonic functions on branching networks for some big groups  [Invited]
    HORA Akihito
    Sapporo Workshop on Non-commutative Analysis and Applications to Complex Phenomena  2011/09
  • Characters and harmonic functions related to infinite wreath product groups  [Invited]
    HORA Akihito
    RIMS Project Research, The International Conference on Functions in Number Theory and Their Probabilistic Aspects  2010/12

Works

  • Joint Research on Algebraic Probability
    2001
  • Joint Research on Infinite-Dimensional Harmonic Analysis
    2000 -2001

MISC

  • Free Probability and Asymptotic Representation Theory of Symmetric Groups
    Hora, A.  1418-  10  -40  2005   [Not refereed] [Invited]  Research paper
  • The symmetric groups and algebraic central limit theorems
    Hora, A.  1227-  145  -153  2001   [Not refereed] [Invited]  Research paper
  • Central limit theorem related to the correlation of conjugacy classes in the infinite symmetric group
    Hora, A.  1035-  104  -113  1998   [Not refereed] [Invited]  Research paper
  • The cut-off phenomenon in random walks on association schemes
    Hora, A.  962-  32  -41  1996   [Not refereed] [Invited]  Research paper

Research Grants & Projects

  • Harmonic Analysis, Random Walks, Noncommutative Probability

Educational Activities

Teaching Experience

  • Analysis F
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 理学部
    キーワード : 確率空間,確率変数,分布関数,期待値,分散,母関数,特性関数,法則収束,中心極限定理,独立性,条件つき確率/期待値,確率収束,大数の弱法則,概収束,大数の強法則.
  • Linear Algebra II
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 全学教育
    キーワード : ベクトル空間, 線形写像, 線形独立, 基底, 固有値, 固有ベクトル, 対角化
  • Introductory Calculus
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 全学教育
    キーワード : 極限,1変数関数,微分,積分
  • Calculus I
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 全学教育
    キーワード : 数列, 収束, 関数, 極限, 微分, 偏微分, テイラ-の定理
  • Calculus II
    開講年度 : 2017
    課程区分 : 学士課程
    開講学部 : 全学教育
    キーワード : 原始関数, 積分, 重積分, リ-マン和, 変数変換


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