HORA Akihito

J-GLOBAL         Last updated: Oct 23, 2018 at 19:36
HORA Akihito
Hokkaido University
Faculty of Science Department of Mathematics
Job title
(BLANK)(Kyoto University)

Research Areas


Published Papers

Hora, A.
Publ. RIMS Kyoto Univ.   51 691-708   2015   [Refereed]
Hora, A., Hirai, T.
Kyoto J. Math.   54(4) 775-817   2014   [Refereed]
Hirai, T., Hora, A.
J. Math. Soc. Japan   66(4) 1191-1226   2014   [Refereed]
Representations of symmetric groups and asymptotic combinatorics
Hora, A.
Sugaku Expositions   22(1) 91-106   2009   [Refereed]
Limits of characters of wreath products Tex of a compact group Tex with the symmetric groups and characters of Tex, I
Hirai, T., Hirai, E., Hora, A.
Nagoya Math. J.   193 1-93   2009   [Refereed]
Hora, A., Obata, N.
Trans. Amer. Math. Soc.   360(2) 899-923   2008   [Refereed]
Jucys-Murphy element and walks on modified Young graph
Hora, A.
Banach Center Publ.   73 223-235   2006   [Refereed]
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]
Remark on Biane's character formula and concentration phenomenon in asymptotic representation theory
Hora, A.
Infinite Dimensional Harmonic Analysis   3 141-159   2005   [Refereed]
The limit shape of Young diagrams for Weyl groups of type B
Hora, A.
Oberwolfach Reports   2(2)    2005   [Refereed]
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]
Hora, A.
Interdisciplinary Information Sciences   10(1) 1-10   2004   [Refereed]
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]
Quantum decomposition and quantum central limit theorem
Hora, A., Obata, N.
Quantum Probability and White Noise Analysis   17 284-305   2003   [Refereed]
Hora, A.
Inf. Dimen. Anal. Quantum Probab. Rel. Top.   6(1) 139-143   2003   [Refereed]
Hashimoto, Y., Hora, A., Obata, N.
J. Math. Phys.   44(1) 71-88   2003   [Refereed]
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]
Gibbs state, quadratic embedding, and central limit theorem on large graphs
Hora, A.
Quantum Information   3 67-74   2001   [Refereed]
Scaling limit of the spectral distributions of the Laplacians on large graphs
Hora, A.
Infinite dimensional harmonic analysis   2 192-202   2000   [Refereed]
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]
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]
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]
Hora, A.
Communications in Mathematical Physics   195(2) 405-416   1998   [Refereed]
Hora, A.
Publications of Research Institute for Mathematical Sciences   33(4) 695-710   1997   [Refereed]
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
Towards critical phenomena for random walks on various algebraic structures
Hora, A.
Infinite dimensional harmonic analysis   1 113-127   1996   [Refereed]
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
Hora, A.
Publications of Research Institute for Mathematical Sciences   29 153-159   1993   [Refereed]
Hora, A.
Journal of Theoretical Probability   5(1) 71-100   1992   [Refereed]
Quasi-invariant measures on commutative Lie groups of infinite product type
Hora, A.
Mathematische Zeitschrift   206 169-192   1991   [Refereed]
Hora, A.
Publications of Research Institute for Mathematical Sciences   24(5) 739-757   1988   [Refereed]
Yamasaki, Y., Hora, A.
Publications of Research Institute for Mathematical Sciences   23(2) 275-296   1987   [Refereed]


Free Probability and Asymptotic Representation Theory of Symmetric Groups
Hora, A.
1418 10-40   2005   [Invited]
The symmetric groups and algebraic central limit theorems
Hora, A.
1227 145-153   2001   [Invited]
Central limit theorem related to the correlation of conjugacy classes in the infinite symmetric group
Hora, A.
1035 104-113   1998   [Invited]
The cut-off phenomenon in random walks on association schemes
Hora, A.
962 32-41   1996   [Invited]

Books etc

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

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   May 2018   
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」   Mar 2018   
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   19 Feb 2018   
Dynamic model for limit profiles and their Gaussian fluctuations in Young diagram ensembles [Invited]
HORA Akihito
Mathematical Aspects of Quantum Fields and Related Topics   26 Jun 2017   
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.   24 May 2017   
Application of free probability to dynamical limit shapes of random Young diagrams
HORA Akihito
One-day workshop on Interface between Commutative and Non-Commutative Stochastic Analysis   28 Mar 2017   
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   14 Feb 2013   
Harmonic functions on branching networks for some big groups [Invited]
HORA Akihito
Sapporo Workshop on Non-commutative Analysis and Applications to Complex Phenomena   Sep 2011   
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   Dec 2010   


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

Research Grants & Projects

Harmonic Analysis, Random Walks, Noncommutative Probability