Introduction to Random Walks on Noncommutative Spaces

Philippe Biane

Type: Book-Chapter

Publication Date: 2008-10-15

Citations: 15

DOI: https://doi.org/10.1007/978-3-540-69365-9_3

View Publication

Download PDF

Locations

Lecture notes in mathematics - View
CiteSeer X (The Pennsylvania State University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Dunkl processes, random matrices, and random walks on noncommutative spaces	2010	François Chapon
+	RANDOM WALKS ON LOCAL NONCOMMUTATIVE GROUPS	1996
+	Free random variables in noncommutative probability theory	1992	Dan Voiculescu Kenneth J. Dykema Alexandru Nica
+ PDF Chat	Potential theory of random walks on Abelian groups	1969	Sidney C. Port Charles J. Stone
+	Markov maps in noncommutative probability theory and mathematical statistics	1987	Ekaterina Morozova N.N. Čencov
+	A note on random walks on compact groups	1979	Viktor Losert Harald Rindler
+	Noncommutative random variables	2016	Uwe Franz Nicolas Privault
+	Probability laws and noncommutative random variables	2006	Fumio Hiai Dénes Petz
+	A remark concerning random walks with random potentials	2010	Yakov G. Sinai
+	Representation theory and random point processes	2004	Alexei Borodin Grigori Olshanski
+	Random fields on noncommutative locally compact groups	1986	Kari Ylinen
+ PDF Chat	Random walks on random coset spaces with applications to Furstenberg entropy	2013	Lewis Bowen
+	An application of group random walk theory to random walks in Euclidean space	1965	Karl Hinderer L. A. Shepp
+	Representations of Cuntz Algebras Associated to Random Walks	2020	Nicholas Christoffersen
+	Some notes on random walks in two dimensions	2021	Gregory F. Lawler
+	Noncommutative probability spaces	2009	Gordon Blower
+	RANDOM WALKS ON FUSION ALGEBRAS (Progress in Operator Algebras)	2000	倫弘林
+	Random walks on homogeneous spaces	1984	René Schott
+	Operator algebras in statistical mechanics and noncommutative probability theory	1987	V. V. Anshelevich M. Sh. Gol'dshtein
+	Some potential theory for simple random walks	2020	Serguei Popov

Works That Cite This (14)

Action	Title	Year	Authors
+ PDF Chat	Quantum $$ SL _2$$, infinite curvature and Pitman’s 2M-X theorem	2020	François Chapon Reda Chhaibi
+	Tensor product Markov chains	2019	Georgia Benkart Persi Diaconis Martin W. Liebeck Pham Huu Tiep
+	The Matsumoto and Yor process and infinite dimensional hyperbolic space	2014	Philippe Bougerol
+	Berezin quantization of noncommutative projective varieties	2015	Andreas Andersson
+	Matsumoto–Yor Process and Infinite Dimensional Hyperbolic Space	2015	Philippe Bougerol
+ PDF Chat	Green functions and Martin compactification for killed random walks related to SU(3)	2010	Kilian Raschel
+	From Pitman's theorem to crystals	2019	Philippe Biane
+	Martin boundary of a killed random walk in the Weyl chamber of the dual of SU(3)	2009	Kilian Raschel
+ PDF Chat	Determinantal Point Processes and Fermion Quasifree States	2020	Grigori Olshanski
+	Zonal polynomials and a multidimensional quantum Bessel process	2015	Wojciech Matysiak Marcin Świeca

Works Cited by This (41)

Action	Title	Year	Authors
+	Positive Definite Kernels	2020	Srishti D. Chatterji
+ PDF Chat	White Noise on Bialgebras	1993	Michael Schürmann
+	Theory of operator algebras	2002	正道竹崎
+	Representations and invariants of the classical groups	1998	Roe Goodman Nolan R. Wallach
+	Theory of Operator Algebras II	2003	Masamichi Takesaki
+	Bases cristallines des groupes quantiques	2002	正樹柏原 Charles Cochet
+	Matrix algebras converge to the sphere for quantum Gromov--Hausdorff distance	2001	Marc A. Rieffel
+	Representations of Compact Lie Groups	1985	Theodor Bröcker Tammo tom Dieck
+	Le Théorème de Pitman, le Groupe Quantique SUq(2), et une Question de P. A. Meyer	2006	Philippe Biane
+ PDF Chat	The Martin boundary for random walk	1966	Peter Ney Frank Spitzer