Results 11 to 20 of about 353,414 (194)
Commutators of free random variables
Duke Mathematical Journal, 1998 LaTeX, 38 pages with 2 ...
Nica, Alexandru, Speicher, Roland
openaire +4 more sources
Convolution and limit theorems for conditionally free random variables [PDF]
Pacific Journal of Mathematics, 1996 26 pages (pictures from R.
Bożejko, Marek +2 more
openaire +6 more sources
Failure of the Raikov Theorem for Free Random Variables [PDF]
, 2004 We show that the sum of two free random variables can have a free Poisson law without any of them having a free Poisson law.
Florent Benaych-georges
openaire +3 more sources
On the Construction of Free Random Variables
Journal of Functional Analysis, 1998 The aim of the paper is to investigate the construction of free families of random variables from an initial free family, in a tracial noncommutative probability space. The random variables in this initial free family are multiplied on the left and the right by certain operators from a \(*\)-algebra free from the entire family. Necessary and sufficient
Ryan, Øyvind
openaire +2 more sources
Limits laws for geometric means of free random variables [PDF]
Indiana University Mathematics Journal, 2010 Let $\{T_{k}\}_{k=1}^{\infty}$ be a family of *--free identically distributed operators in a finite von Neumann algebra. In this work we prove a multiplicative version of the free central limit Theorem. More precisely, let $B_{n}=T_{1}^{*}T_{2}^{*}... T_{n}^{*}T_{n}...
Gabriel H. Tucci
openaire +4 more sources
On the multiplication of operator-valued c-free random variables [PDF]
Colloquium Mathematicum, 2018 We discuss some results concerning the multiplication of non-commutative random variables that are c-free with respect to a pair $( Φ, φ) $, where $ Φ$ is a linear map with values in some Banach or C$^\ast$-algebra and $ φ$ is scalar-valued. In particular, we construct a suitable analogue of the Voiculescu's $ S $-transform for this framework.
Popa, Mihai +2 more
openaire +3 more sources
Invariance principles for homogeneous sums of free random variables [PDF]
Bernoulli, 2014 We extend, in the free probability framework, an invariance principle for multilinear homogeneous sums with low influences recently established in [E. Mossel, R. O'Donnell and K. Oleszkiewicz (2010). Noise stability of functions with low influences: invariance and optimality. {\it Ann. Math.} {\bf 171}, no. 1, 295-341].
Deya, Aurélien, Nourdin, Ivan
openaire +7 more sources
Extreme statistics of the excitations in the random transverse Ising chain
Physical Review Research, 2021 In random quantum magnets, like the random transverse Ising chain, low energy excitations are localized in rare regions and there are only weak correlations between them.
István A. Kovács +2 more
doaj +1 more source
Randomized naming using wait-free shared variables [PDF]
Distributed Computing, 1998 A naming protocol assigns unique names (keys) to every process out of a set of communicating processes. We construct a randomized wait-free naming protocol using wait-free atomic read/write registers (shared variables) as process intercommunication primitives. Each process has its own private register and can read all others.
Panconesi, A. +3 more
openaire +4 more sources
Non-Hermitian random matrix models: Free random variable approach [PDF]
Physical Review E, 1997 Using the standard concepts of free random variables, we show that for a large class of nonhermitean random matrix models, the support of the eigenvalue distribution follows from their hermitean analogs using a conformal transformation. We also extend the concepts of free random variables to the class of nonhermitean matrices, and apply them to the ...
Janik, Romuald A. +4 more
openaire +2 more sources