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Berry-Esseen bounds and moderate deviations for the norm, entries and spectral radius of products of positive random matrices
Let ( g n ) n ⩾l be a sequence of independent and identically distributed positive random d × d matrices and consider the matrix product G n = g n ⋯ g 1 ....
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Random Fourier series with Dependent Random Variables
Given a sequence of independent standard Gaussian variables ( Z n ), the classical Pisier algebra P is the class of all continuous functions f on the...
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On a Characterization Theorem for Locally Compact Abelian Groups Containing an Element of Order 2
According to the well-known Heyde theorem the Gaussian distribution on the real line is characterized by the symmetry of the conditional distribution...
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Characterization of probability measures on locally compact Abelian groups via Q-independence
We obtain a characterization for probability measures on a locally compact Abelian group X based on linear forms of Q -independent random elements...
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Positive Harmonic Functions of Transformed Random Walks
In this paper, we will study the behavior of the space of positive harmonic functions associated with the random walk on a discrete group under the...
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Transition Densities and Traces for Invariant Feller Processes on Compact Symmetric Spaces
We find necessary and sufficient conditions for a finite K –bi–invariant measure on a compact Gelfand pair ( G , K ) to have a square–integrable density....
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Characterization theorems for Q-independent random variables with values in a locally compact Abelian group
Let X be a locally compact Abelian group, Y be its character group. Following A. Kagan and G. Székely we introduce a notion of Q -independence for...
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Useful Bounds on the Extreme Eigenvalues and Vectors of Matrices for Harper’s Operators
In analyzing a simple random walk on the Heisenberg group we encounter the problem of bounding the extreme eigenvalues of an n×n matrix of the form M...
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Existence and Uniqueness for a Class of Stochastic Time Fractional Space Pseudo-Differential Equations
Some classes of stochastic fractional differential equations with respect to time and a pseudo-differential equation with respect to space are...
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Decorrelation of Total Mass Via Energy
The main result of this small note is a quantified version of the assertion that if u and v solve two nonlinear stochastic heat equations, and if the...
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Homomorphisms to \({\mathbb{R}}\) Generated by Quasimorphisms
Erschler and Karlsson in Annales de l’Institut Fourier 60(6):2095–2113,
2010 construct a homomorphism of a finitely generated group G to... -
Convolution of Probability Measures on Lie Groups and Homogenous Spaces
We study (weakly) continuous convolution semigroups of probability measures on a Lie group G or a homogeneous space G / K , where K is a compact...
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Idempotent States on Locally Compact Groups and Quantum Groups
This is a short survey on idempotent states on locally compact groups and locally compact quantum groups. The central topic is the relationship...
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The Cut-off Phenomenon for Brownian Motions on Compact Symmetric Spaces
In this paper, we prove the cut-off phenomenon in total variation distance for the Brownian motions traced on the classical symmetric spaces of...
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On an equation being a fractional differential equation with respect to time and a pseudo-differential equation with respect to space related to Lévy-type processes
It is with great pleasure that we dedicate this paper to Professor Rudolf Gorenflo. In particular, the second named author wants to express his...