Results 11 to 20 of about 479 (44)

On Explicit Probability Densities Associated with Fuss-Catalan Numbers

, 2010
In this note we give explicitly a family of probability densities, the moments of which are Fuss-Catalan numbers.
Liu, Dang-Zheng, Song, Chunwei, Wang, Zheng-Dong   +2 more
core   +1 more source

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
core   +1 more source

Spectral analysis of the free orthogonal matrix [PDF]

, 2009
We compute the spectral measure of the standard generators $u_{ij}$ of the Wang algebra $A_o(n)$. We show in particular that this measure has support $[-2/\sqrt{n+2},2/\sqrt{n+2}]$, and that it has no atoms.
Banica, T., Collins, B., Zinn-Justin, P.
core   +2 more sources

Asymptotic freeness in tracial ultraproducts

Forum of Mathematics, Sigma
We prove novel asymptotic freeness results in tracial ultraproduct von Neumann algebras. In particular, we show that whenever $M = M_1 \ast M_2$ is a tracial free product von Neumann algebra and $u_1 \in \mathscr U(M_1)$ , $u_2 \in ...
Cyril Houdayer, Adrian Ioana
doaj   +1 more source

Large N limit of the Yang–Mills measure on compact surfaces II: Makeenko–Migdal equations and the planar master field

Forum of Mathematics, Sigma
This 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
doaj   +1 more source

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, Dykema, Kenneth J., Mukherjee, Kunal   +2 more
core   +3 more sources

Characterizations of some free random variables by properties of conditional moments of third degree polynomials

, 2012
We investigate Laha-Lukacs properties of noncommutative random variables (processes). We prove that some families of free Meixner distributions can be characterized by the conditional moments of polynomial functions of degree 3.
Ejsmont, Wiktor
core   +1 more source

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, Breton, Jean-Christophe   +1 more
core   +3 more sources

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, Enriquez, Nathanaël   +1 more
core   +3 more sources

Decomposition results for Gram matrix determinants

, 2010
We study the Gram matrix determinants for the groups $S_n,O_n,B_n,H_n$, for their free versions $S_n^+,O_n^+,B_n^+,H_n^+$, and for the half-liberated versions $O_n^*,H_n^*$.
Banica, Teodor, Curran, Stephen
core   +1 more source