A free analogue of the transportation cost inequality on the circle
Page 1 Next
Displaying 1 – 20 of 21
A free stochastic partial differential equation
Yoann Dabrowski (2014)
Annales de l'I.H.P. Probabilités et statistiques
We get stationary solutions of a free stochastic partial differential equation. As an application, we prove equality of non-microstate and microstate free entropy dimensions under a Lipschitz like condition on conjugate variables, assuming also the von Neumann algebra embeddable. This includes an -tuple of -Gaussian random variables e.g. for .
A generalized Biane process
Kalyanapuram Rangachari Parthasarathy (1990)
Séminaire de probabilités de Strasbourg
A linear Radon-Nikodym type theorem for -algebras with applications to measure theory
George Maltese, Gerd Niestegge (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
A log-Sobolev type inequality for free entropy of two projections
Fumio Hiai, Yoshimichi Ueda (2009)
Annales de l'I.H.P. Probabilités et statistiques
We prove a kind of logarithmic Sobolev inequality claiming that the mutual free Fisher information dominates the microstate free entropy adapted to projections in the case of two projections.
A matrix representation of the Bercovici-Pata bijection.
Cabanal-Duvillard, Thierry (2005)
Electronic Journal of Probability [electronic only]
A non-commutative central limit theorem.
Roland Speicher (1992)
Mathematische Zeitschrift
A noncommutative version of a Theorem of Marczewski for submeasures
Paolo de Lucia, Pedro Morales (1992)
Studia Mathematica
It is shown that every monocompact submeasure on an orthomodular poset is order continuous. From this generalization of the classical Marczewski Theorem, several results of commutative Measure Theory are derived and unified.
A note on regularity for free convolutions
Serban Teodor Belinschi (2006)
Annales de l'I.H.P. Probabilités et statistiques
A note on the von Neumann algebra underlying some universal compact quantum groups.
De Commer, Kenny (2009)
Banach Journal of Mathematical Analysis [electronic only]
A proof of a non-commutative central limit theorem by the Lindeberg method.
Kargin, Vladislav (2007)
Electronic Communications in Probability [electronic only]
A recursion formula for the moments of the gaussian orthogonal ensemble
M. Ledoux (2009)
Annales de l'I.H.P. Probabilités et statistiques
We present an analogue of the Harer–Zagier recursion formula for the moments of the gaussian Orthogonal Ensemble in the form of a five term recurrence equation. The proof is based on simple gaussian integration by parts and differential equations on Laplace transforms. A similar recursion formula holds for the gaussian Symplectic Ensemble. As in the complex case, the result is interpreted as a recursion formula for the number of 1-vertex maps in locally orientable surfaces with a given number of...
A remark on p-convolution
Rafał Sałapata (2011)
Banach Center Publications
We introduce a p-product of algebraic probability spaces, which is the definition of independence that is natural for the model of noncommutative Brownian motions, described in [10] (for q = 1). Using methods of the conditionally free probability (cf. [4, 5]), we define a related p-convolution of probability measures on ℝ and study its relations with the notion of subordination (cf. [1, 8, 9, 13]).
A survey on dilations of projective isometric representations.
Costache, T.L. (2008)
Surveys in Mathematics and its Applications
Algèbres de von Neumann de groupes libres et probabilités non commutatives
Georges Skandalis (1992/1993)
Séminaire Bourbaki
Almost sure convergence of iterates of contractions in noncommutative L2-spaces.
Ryszard Jajte (1990)
Mathematische Zeitschrift
An Analogue of a Hardy-Littlewood-Fejér Inequality for Upper Triangular Trace Class Operators.
Allen L. Shields (1983)
Mathematische Zeitschrift
An individual ergodic theorem on the Hilbert space logic
Tatiana Lutterová, Sylvia Pulmannová (1985)
Mathematica Slovaca
Application du «bébé Fock» au modèle d'Ising
Paul-André Meyer (1991)
Séminaire de probabilités de Strasbourg
Applications du théorème de factorisation pour des fonctions à valeurs opérateurs
Quanhua Xu (1990)
Studia Mathematica
Currently displaying 1 – 20 of 21
Page 1 Next