Akihito Hora

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All published works

Action	Title	Year	Authors
+	q-Racah probability distribution	2024	Masahito Hayashi Akihito Hora Shintarou Yanagida
+	Dynamical Spin Limit Shape of Young Diagram and Spin Jucys-Murphy Elements for Symmetric Groups	2023	Akihito Hora
+	$q$-Racah probability distribution	2023	Masahito Hayashi Akihito Hora Shintarou Yanagida
+ PDF Chat	Projective representations and spin characters of complex reflection groups G(m,p,n) and G(m,p,∞), III	2022	Takeshi Hirai Akihito Hora
+	Stochastic behavior of outcome of Schur-Weyl duality measurement	2021	Masahito Hayashi Akihito Hora Shintarou Yanagida
+	Effect of microscopic pausing time distributions on the dynamical limit shapes for random Young diagrams	2020	Akihito Hora
+	Effect of microscopic pausing time distributions on the dynamical limit shapes for random Young diagrams	2019	Akihito Hora
+	Effect of microscopic pausing time distributions on the dynamical limit shapes for random Young diagrams	2019	Akihito Hora
+	Projective representations and spin characters of complex reflection groups $G(m, p, n)$ and $G(m, p, \infty)$, III	2018	Takeshi Hirai Akihito Hora
+	The Limit Shape Problem for Ensembles of Young Diagrams	2016	Akihito Hora
+	Preliminaries	2016	Akihito Hora
+ PDF Chat	A Diffusive Limit for the Profiles of Random Young Diagrams by Way of Free Probability	2015	Akihito Hora
+	Spin representations of twisted central products of double covering finite groups and the case of permutation groups	2014	Takeshi Hirai Akihito Hora
+	HYDRODYNAMIC LIMIT FOR THE PLANCHEREL ENSEMBLE OF YOUNG DIAGRAMS AND FREE PROBABILITY	2014	Akihito Hora
+ PDF Chat	Harmonic functions on the branching graph associated with the infinite wreath product of a compact group	2014	Akihito Hora Takeshi Hirai
+	Projective Representations and Spin Characters of Complex Reflection Groups G(m,p,n) and G(m,p,∞)	2013	Takeshi Hirai Akihito Hora Etsuko Hirai
+	Chapter 2. Projective representations and spin characters of complex reflection groups $G(m,p,n)$ and $G(m,p,\infty)$, I	2013	Takeshi Hirai Akihito Hora Etsuko Hirai Takeshi Hirai Akihito Hora Etsuko Hirai
+ PDF Chat	Chapter 3. Projective representations and spin characters of complex reflection groups $G(m,p,n)$ and $G(m,p,\infty)$, II: Case of generalized symmetric groups	2013	Takeshi Hirai Akihito Hora Etsuko Hirai Takeshi Hirai Akihito Hora Etsuko Hirai
+	Chapter 1. Introductory expositions on projective representations of groups	2013	Takeshi Hirai Akihito Hora Etsuko Hirai Takeshi Hirai Akihito Hora Etsuko Hirai
+	HARMONIC FUNCTIONS ON THE BRANCHING GRAPH ASSOCIATED WITH THE INFINITE WREATH PRODUCT OF A COMPACT GROUP	2012	Akihito Hora Takeshi Hirai
+ PDF Chat	Limits of Characters of Wreath Products 𝔖<i><sub>n</sub></i>(<i>T</i>) of a Compact Group <i>T</i> With the Symmetric Groups and Characters of 𝔖<sub>∞</sub>(T), I	2009	Takeshi Hirai Etsuko Hirai Akihito Hora
+	TOWARDS PROJECTIVE REPRESENTATIONS AND SPIN CHARACTERS OF FINITE AND INFINITE COMPLEX REFLECTION GROUPS	2008	Takeshi Hirai Etsuko Hirai Akihito Hora
+ PDF Chat	Limits of characters of wreath products S n (T) of a compact group T with the symmetric groups and characters of S ∞ (T) , II -- From a viewpoint of probability theory	2008	Akihito Hora Takeshi Hirai Etsuko Hirai
+	Asymptotic spectral analysis of growing regular graphs	2007	Akihito Hora Nobuaki Obata
+	Comb Graphs and Star Graphs	2007	Akihito Hora Nobuaki Obata
+	Distance-Regular Graphs	2007	Akihito Hora Nobuaki Obata
+	Central Limit Theorem for the Plancherel Measures of the Symmetric Groups	2007	Akihito Hora Nobuaki Obata
+	Quantum Probability and Orthogonal Polynomials	2007	Akihito Hora Nobuaki Obata
+	Homogeneous Trees	2007	Akihito Hora Nobuaki Obata
+	Johnson Graphs	2007	Akihito Hora Nobuaki Obata
+	Hamming Graphs	2007	Akihito Hora Nobuaki Obata
+	Adjacency Matrices	2007	Akihito Hora Nobuaki Obata
+	Regular Graphs	2007	Akihito Hora Nobuaki Obata
+	Deformation of Kerov's Central Limit Theorem	2007	Akihito Hora Nobuaki Obata
+	A Noncommutative Version of Kerov’s Gaussian Limit for the Plancherel Measure of the Symmetric Group	2007	Akihito Hora
+	Quantum Probability and Spectral Analysis of Graphs	2007	Akihito Hora 伸明尾畑
+ PDF Chat	Realizations of factor representations of finite type with emphasis on their characters for wreath products of compact groups with the infinite symmetric group	2006	Takeshi Hirai Etsuko Hirai Akihito Hora
+	AN INTERACTING FOCK SPACE WITH PERIODIC JACOBI PARAMETER OBTAINED FROM REGULAR GRAPHS IN LARGE SCALE LIMIT	2006	Akihito Hora Nobuaki Obata
+	Jucys-Murphy element and walks on modified Young graph	2006	Akihito Hora
+	REMARK ON BIANE’S CHARACTER FORMULA AND CONCENTRATION PHENOMENON IN ASYMPTOTIC REPRESENTATION THEORY	2005	Akihito Hora
+	Free Probability and Asymptotic Representation Theory of Symmetric Groups (Operator Algebras and Related Topics)	2005	Akihito Hora
+ PDF Chat	Asymptotic Spectral Analysis on the Johnson Graphs in Infinite Degree and Zero Temperature Limit	2004	Akihito Hora
+	SCALING LIMIT FOR GIBBS STATES OF JOHNSON GRAPHS AND RESULTING MEIXNER CLASSES	2003	Akihito Hora
+	QUANTUM DECOMPOSITION AND QUANTUM CENTRAL LIMIT THEOREM	2003	Akihito Hora Nobuaki Obata
+	NONCOMMUTATIVE ASPECT OF CENTRAL LIMIT THEOREM FOR THE IRREDUCIBLE CHARACTERS OF THE SYMMETRIC GROUPS	2003	Akihito Hora
+	Central limit theorems for large graphs: Method of quantum decomposition	2002	Yukihiro Hashimoto Akihito Hora Nobuaki Obata
+	The Symmetric Groups and Algebraic Central Limit Theorems (Infinite Dimensional Analysis and Quantum Probability Theory)	2001	Akihito Hora
+	GIBBS STATE, QUADRATIC EMBEDDING, AND CENTRAL LIMIT THEOREM ON LARGE GRAPHS	2001	Akihito Hora
+ PDF Chat	Gibbs state on a distance-regular graph and its application to a scaling limit of the spectral distributions of discrete Laplacians	2000	Akihito Hora
+	Gibbs state on a distance-regular graph and its application to a scaling limit of the spectral distributions of discrete Laplacians	2000	Akihito Hora
+	An axiomatic approach to the cut-off phenomenon for random walks on large distance-regular graphs	2000	Akihito Hora
+	Central Limit Theorem for the Adjacency Operators on the Infinite Symmetric Group	1998	Akihito Hora
+	Central Limit Theorems and Asymptotic Spectral Analysis on Large Graphs	1998	Akihito Hora
+ PDF Chat	The Cut-Off Phenomenon for Random Walks on Hamming Graphs with Variable Growth Conditions	1997	Akihito Hora
+	Random walks and isotropic Markov chains on homogeneous spaces	1996	Akihito Hora
+ PDF Chat	Remarks on the Shuffling Problem for Finite Groups	1993	Akihito Hora
+	Quasi-invariant measures on the infinite product ofSU(2)	1992	Akihito Hora
+	Quasi-invariant measures on commutative Lie groups of infinite product type	1991	Akihito Hora
+ PDF Chat	On a Banach Space of Functions Associated with a Homogeneous Additive Process	1988	Akihito Hora
+ PDF Chat	Differentiable Shifts for Measures on Infinite Dimensional Spaces	1987	Yasuo Yamasaki Akihito Hora

Common Coauthors

Coauthor	Papers Together
Nobuaki Obata	14
Takeshi Hirai	12
Etsuko Hirai	8
Masahito Hayashi	3
Shintarou Yanagida	3
Yasuo Yamasaki	1
Yukihiro Hashimoto	1
Takeshi Hirai	1
伸明尾畑	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Asymptotic theory of characters of the symmetric group	1982	A. M. Vershik S. V. Kerov	10
+	Kerov’s Central Limit Theorem for the Plancherel Measure on Young Diagrams	2002	В. К. Иванов Grigori Olshanski	9
+	Representations of Symmetric Groups and Free Probability	1998	Philippe Biane	8
+	Central Limit Theorems and Asymptotic Spectral Analysis on Large Graphs	1998	Akihito Hora	7
+	Asymptotic Representation Theory of the Symmetric Group and its Applications in Analysis	2003	S. V. Kerov	7
+	Central limit theorems for large graphs: Method of quantum decomposition	2002	Yukihiro Hashimoto Akihito Hora Nobuaki Obata	7
+	A variational problem for random Young tableaux	1977	Bill Logan L. A. Shepp	6
+ PDF Chat	Gibbs state on a distance-regular graph and its application to a scaling limit of the spectral distributions of discrete Laplacians	2000	Akihito Hora	6
+ PDF Chat	Interacting Fock Spaces and Gaussianization of Probability Measures	1998	Luigi Accardi Marek Bożejko	5
+ PDF Chat	Characters of wreath products of compact groups with the infinite symmetric group and characters of their canonical subgroups	2007	Takeshi Hirai Etsuko Hirai	5
+ PDF Chat	Notions of Independence Related to the Free Group	1998	Luigi Accardi Yukihiro Hashimoto Nobuaki Obata	5
+	A QUANTUM ASPECT OF ASYMPTOTIC SPECTRAL ANALYSIS OF LARGE HAMMING GRAPHS	2001	Yukihiro Hashimoto Nobuaki Obata NOBUYUKI TABEI	5
+	None	2001	Philippe Biane	5
+	Lectures on the Combinatorics of Free Probability	2006	Alexandru Nica Roland Speicher	4
+	Die unzerlegbaren, positiv-definiten Klassenfunktionen der abz�hlbar unendlichen, symmetrischen Gruppe	1964	Elmar Thoma	4
+	Free Random Variables	1992	Dan Voiculescu Kenneth J. Dykema Alexandru Nica	4
+ PDF Chat	Hydrodynamic Limit for an Evolutional Model of Two-Dimensional Young Diagrams	2010	Tadahisa Funaki Makiko Sasada	4
+	Quantum Probability and Spectral Analysis of Graphs	2007	Akihito Hora 伸明尾畑	4
+	Characters of symmetric groups and free cumulants	2007	Philippe Biane	4
+ PDF Chat	Permutation model for semi-circular systems and quantum random walks	1995	Philippe Biane	4
+	Central Limit Theorem for the Adjacency Operators on the Infinite Symmetric Group	1998	Akihito Hora	4
+ PDF Chat	Realizations of factor representations of finite type with emphasis on their characters for wreath products of compact groups with the infinite symmetric group	2006	Takeshi Hirai Etsuko Hirai Akihito Hora	4
+	The Schur Multiplier of the Generalized Symmetric Group	1974	Joan Davies A. O. Morris	4
+	Character formula for wreath products of compact groups with the infinite symmetric group	2006	Takeshi Hirai Etsuko Hirai	4
+	The boundary of Young lattice and random Young tableaux	1995	Serge Kerov	3
+	Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials	1985	Richard Askey James Wilson	3
+	Measures on infinite dimensional spaces	1984	Yasuo Yamasaki	3
+	Linear and Projective Representations of Symmetric Groups	2005	Alexander Kleshchev	3
+	Hypergeometric Orthogonal Polynomials and Their q-Analogues	2010	Roelof Koekoek Peter Lesky René F. Swarttouw	3
+	Minimal Factorizations of a Cycle and Central Multiplicative Functions on the Infinite Symmetric Group	1996	Philippe Biane	3
+	Approximate factorization and concentration for characters of symmetric groups	2000	Philippe Biane	3
+	Untersuchungen über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen.	1907	J. Schur	3
+ PDF Chat	Centralization of positive definite functions, weak containment of representations and Thoma characters for the infinite symmetric group	2004	Takeshi Hirai	3
+	Probability: Theory and Examples.	1992	Kathryn Prewitt Richard Durrett	3
+ PDF Chat	Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials	2000	Alexei Borodin Grigori Olshanski	3
+	Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen.	1911	Julia Schur	3
+	TOWARDS PROJECTIVE REPRESENTATIONS AND SPIN CHARACTERS OF FINITE AND INFINITE COMPLEX REFLECTION GROUPS	2008	Takeshi Hirai Etsuko Hirai Akihito Hora	3
+ PDF Chat	Limits of characters of wreath products S n (T) of a compact group T with the symmetric groups and characters of S ∞ (T) , II -- From a viewpoint of probability theory	2008	Akihito Hora Takeshi Hirai Etsuko Hirai	3
+ PDF Chat	Characters of wreath products of finite groups with the infinite symmetric group	2005	Takeshi Hirai Etsuko Hirai	3
+	QUANTUM DECOMPOSITION IN DISCRETE GROUPS AND INTERACTING FOCK SPACES	2001	Yukihiro Hashimoto	3
+ PDF Chat	Laplacian Operators and Radon Transforms on Grassmann Graphs	2006	José Manuel Marco Javier Parcet	3
+ PDF Chat	Limits of Characters of Wreath Products 𝔖<i><sub>n</sub></i>(<i>T</i>) of a Compact Group <i>T</i> With the Symmetric Groups and Characters of 𝔖<sub>∞</sub>(T), I	2009	Takeshi Hirai Etsuko Hirai Akihito Hora	3
+	A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ Symbols	1979	Richard Askey James Wilson	3
+ PDF Chat	Infinite-dimensional diffusions as limits of random walks on partitions	2008	Alexei Borodin Grigori Olshanski	3
+ PDF Chat	Gaussian fluctuations of characters of symmetric groups and of Young diagrams	2005	Piotr Śniady	3
+	CHARACTER FORMULA FOR WREATH PRODUCTS OF FINITE GROUPS WITH THE INFINITE SYMMETRIC GROUP	2005	Takeshi Hirai Etsuko Hirai	3
+	Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach	2000	Percy Deift	2
+	QUANTUM DECOMPOSITION AND QUANTUM CENTRAL LIMIT THEOREM	2003	Akihito Hora Nobuaki Obata	2
+	Group representations in probability and statistics	1988	Persi Diaconis	2
+	SCALING LIMIT FOR GIBBS STATES OF JOHNSON GRAPHS AND RESULTING MEIXNER CLASSES	2003	Akihito Hora	2