Results 21 to 30 of about 490 (43)
Forum of Mathematics, SigmaThis paper considers the large N limit of Wilson loops for the two-dimensional Euclidean Yang–Mills measure on all orientable compact surfaces of genus larger or equal to $1$ , with a structure group given by a classical compact matrix Lie group ...
Antoine Dahlqvist, Thibaut Lemoine
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Faithfulness of bi-free product states
, 2018 Given a non-trivial family of pairs of faces of unital C*-algebras where each pair has a faithful state, it is proved that if the bi-free product state is faithful on the reduced bi-free product of this family of pairs of faces then each pair of faces ...
Ramsey, Christopher
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, 2010 In the present paper we define and study the properties of a deformation of measures and convolutions that works in a similar way to the Ut deformation of Bożejko and Wysoczański, but in its definition operates on two levels of Jacobi coefficients of a ...
Łukasz Jan Wojakowski
semanticscholar +1 more source
Perturbations of diagonal matrices by band random matrices [PDF]
, 2011 We exhibit an explicit formula for the spectral density of a (large) random matrix which is a diagonal matrix whose spectral density converges, perturbated by the addition of a symmetric matrix with Gaussian entries and a given (small) limiting variance ...
Benaych-Georges, Florent +1 more
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The simplex of tracial quantum symmetric states
, 2014 We show that the space of tracial quantum symmetric states of an arbitrary unital C*-algebra is a Choquet simplex and is a face of the tracial state space of the universal unital C*-algebra free product of A with itself infinitely many times.
Dabrowski, Yoann +2 more
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On a surprising relation between rectangular and square free convolutions [PDF]
, 2008 Debbah and Ryan have recently proved a result about the limit empirical singular distribution of the sum of two rectangular random matrices whose dimensions tend to infinity.
Benaych-Georges, Florent
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On the first continuous $L^2$-cohomology of free group factors
, 2014 We prove that the first continuous $L^2$-cohomology of free group factors vanishes. This answers a question by Andreas Thom regarding continuity properties of free difference quotients and shows that one can not distinguish free group factors by means of
Alekseev, Vadim
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Local limit theorems in free probability theory
, 2010 In this paper, we study the superconvergence phenomenon in the free central limit theorem for identically distributed, unbounded summands. We prove not only the uniform convergence of the densities to the semicircular density but also their $L^p ...
Wang, Jiun-Chau
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Asymptotic Cram\'er type decomposition for Wiener and Wigner integrals
, 2012 We investigate generalizations of the Cram\'er theorem. This theorem asserts that a Gaussian random variable can be decomposed into the sum of independent random variables if and only if they are Gaussian.
Bourguin, Solesne +1 more
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Free evolution on algebras with two states II
, 2014 Denote by $J$ the operator of coefficient stripping. We show that for any free convolution semigroup of measures $\nu_t$ with finite variance, applying a single stripping produces semicircular evolution with non-zero initial condition, $J[\nu_t] = \rho ...
Anshelevich +4 more
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