Hora Akihito

ホラアキヒト | Hora Akihito

Affiliation and department：
Job title： Professor

Research field (1)： Basic analysis

Research keywords (1)： functional analysis, probability theory

Research theme for competitive and other funds (28)：

2022 - 2026 asymptotic representation theory, harmonic analysis on branching graphs, and scaling limits for related probability models
2019 - 2023 Quantum probability and asymptotic analysis of large finite systems
2019 - 2022 Interplay between asymptotic representation theory and scaling limits in probability models
2016 - 2019 Deepening and developing asymptotic representation theory
2011 - 2013 Spectral analysis of complex networks and modeling methods by statistics

2011 - 2013 Study on decomposition of unitary representations of groups and harmonic functions on branching graphs

2008 - 2010 Quantum Probability Theory and Infinite Dimensional Analysis

2007 - 2010 Integrated study of probability and representation theory towards harmonic analysis on huge groups

2007 - 2009 ランダムグラフの量子確率論的スペクトル解析

2007 - 2009 Study of harmonic analysis and applications to multidimensional signal processing

2006 - 2008 群の表現から見たボーズ凝縮の萌芽研究

2005 - 2008 Study of free probability and operator algebras based on random matrices

2004 - 2006 Study of asymptotic theory for representations of symmetric groups from the viewpoint of scaling limits for probability models

2005 - 2005 多様体上の群の作用と無限次元調和解析

2003 - 2005 Nonlinear theory of quantum white noise and its non-Gaussian extension

2001 - 2003 Harmonic analysis on graphs and discrete groups, and scaling limit for probability models

2000 - 2002 Research for Hilbert C^* -bimodules and its application to dicrite dynamical systems

1999 - 2000 Harmonic analysis on discrete structures and its applications to classical and quantum probability models

1997 - 1999 Quantum White Noise and Infinite Dimensional Harmonic Analysis

1998 - 1998 無限次元調和解析

1997 - 1998 グラフ上の調和解析とその古典および量子統計モデルへの応用

1996 - 1996 ヒルベルト双加群によるC^*環の指数理論の研究

1996 - 1996 ヴィット群の拡張と幾何学的応用の研究

1995 - 1995 量子ランダムウォークの調和解析の研究

1994 - 1994 表現論的方法に基づくランダムウォークの研究

1993 - 1993 代数的構造の上の調和解析とランダムウォークの漸近挙動の研究

1992 - 1992 代数的組合せ論の研究

1989 - 1989 確率過程の関数解析学的研究

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Papers (49)：

Takeshi Hirai, Akihito Hora. Projective representations and spin characters of complex reflection groups G(m,p,n) and G(m,p,∞), III. Kyoto Journal of Mathematics. 2022. 62. 1. 1-94
Akihito Hora. Effect of microscopic pausing time distributions on the dynamical limit shapes for random Young diagrams. Electronic Journal of Probability. 2020
Akihito Hora. A Diffusive Limit for the Profiles of Random Young Diagrams by Way of Free Probability. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES. 2015. 51. 4. 691-708
Takeshi Hirai, Akihito Hora. Spin representations of twisted central products of double covering finite groups and the case of permutation groups. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. 2014. 66. 4. 1191-1226
Akihito Hora, Takeshi Hirai. Harmonic functions on the branching graph associated with the infinite wreath product of a compact group. Kyoto Journal of Mathematics. 2014. 54. 4. 775-817

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MISC (4)：

洞彰人. 群の表現論と極限定理 --- オルシャンスキーとオクニコフ. 数理科学. 2008. 20-25
Joachim Hilgert, Akihito Hora, Takeshi Kawazoe, Kyo Nishiyama, Michael Voit. Infinite dimensional harmonic analysis IV: On the interplay between representation theory, random matrices, special functions, and probability. Infinite Dimensional Harmonic Analysis IV: On the Interplay Between Representation Theory, Random Matrices, Special Functions, and Probability. 2008. 1-328
洞彰人. ヤング図形の漸近挙動をめぐる調和解析と確率論の話題. 日本数学会年会企画特別講演アブストラクト. 2007. 2007. 79-90
洞彰人. オクニコフ(フィールズ賞業績紹介). 数学セミナー. 2006

Books (7)：

対称群の表現とヤング図形集団の解析学--漸近的表現論への序説--
数学書房 2017
The Limit Shape Problem for Ensembles of Young Diagrams
Springer 2016
Projective representations and spin characters of complex reflection groups $G(m,p,n)$ and $G(m,p,\infty)$
Mathematical Society of Japan 2013
この定理が美しい, ランダムネスに潜む普遍性---中心極限定理
数学書房 2009
Infinite Dimensional Harmonic Analysis
World Scientific 2008

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Lectures and oral presentations (20)：

Dynamical scaling limit of the restriction-induction chain on Young diagrams in terms of free probability
(Random Matrices and Their Applications 2018)
Markov chains, graph spectra, and some static/dynamic scaling limits
(第3回代数的組合せ論「仙台勉強会」 2018)
On evolution of macroscopic profiles (and their global fluctuations) for growing random Young diagrams
(第19回北東数学解析研究会 2018)
群論的なヤング図形集団における巨視的プロファイルとゆらぎの動的モデル
(筑波大学解析セミナー 2017)
Dynamic model for limit profiles and their Gaussian fluctuations in Young diagram ensembles
(Mathematical Aspects of Quantum Fields and Related Topics 2017)

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Works (2)：

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

Professional career (1)：

(BLANK) (Kyoto University)

Association Membership(s) (1)：

日本数学会

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