Central limit theorems for the products of random matrices sampled by a random walk.
Duheille-Bienvenüe, Frédérique, Guillotin-Plantard, Nadine (2003)
Electronic Communications in Probability [electronic only]
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Displaying similar documents to “Eigenvalues of random wreath products.”
Central limit theorems for the products of random matrices sampled by a random walk.
Longest increasing subsequences of random colored permutations.
Borodin, Alexei (1999)
The Electronic Journal of Combinatorics [electronic only]
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On the range of the simple random walk bridge on groups.
Benjamini, Itai, Izkovsky, Roey, Kesten, Harry (2007)
Electronic Journal of Probability [electronic only]
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The distribution of eigenvalues of randomized permutation matrices
Joseph Najnudel, Ashkan Nikeghbali (2013)
Annales de l’institut Fourier
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In this article we study in detail a family of random matrix ensembles which are obtained from random permutations matrices (chosen at random according to the Ewens measure of parameter ) by replacing the entries equal to one by more general non-vanishing complex random variables. For these ensembles, in contrast with more classical models as the Gaussian Unitary Ensemble, or the Circular Unitary Ensemble, the eigenvalues can be very explicitly computed by using the cycle structure...
Strong approximation for set-indexed partial sum processes via KMT constructions III
Rio Emmanuel (1997)
ESAIM: Probability and Statistics
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The ellipsoid method for generating normally distributed random vectors
I. Deák (1980)
Applicationes Mathematicae
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Profiles of permutations.
Lugo, Michael (2009)
The Electronic Journal of Combinatorics [electronic only]
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Generalized Random Processes on the Zemanian Space a
Z. Lozanov-Crvenković, Stevan Pilipović (1989)
Publications de l'Institut Mathématique
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The quenched invariance principle for random walks in random environments admitting a bounded cycle representation
Jean-Dominique Deuschel, Holger Kösters (2008)
Annales de l'I.H.P. Probabilités et statistiques
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We derive a quenched invariance principle for random walks in random environments whose transition probabilities are defined in terms of weighted cycles of bounded length. To this end, we adapt the proof for random walks among random conductances by Sidoravicius and Sznitman ( (2004) 219–244) to the non-reversible setting.
A survey of results on random random walks on finite groups.
Hildebrand, Martin (2005)
Probability Surveys [electronic only]
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On Bernoulli decomposition of random variables and recent various applications
François Germinet (2007-2008)
Séminaire Équations aux dérivées partielles
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In this review, we first recall a recent Bernoulli decomposition of any given non trivial real random variable. While our main motivation is a proof of universal occurence of Anderson localization in continuum random Schrödinger operators, we review other applications like Sperner theory of antichains, anticoncentration bounds of some functions of random variables, as well as singularity of random matrices.