Limits of convolution iterates and properties of random walks defined on regular semigroups with applications to matrix semigoups

DOI10.1016/0022-247X(88)90206-5zbMath0677.60008OpenAlexW2089711073MaRDI QIDQ1123473

Patricia B. Cerrito

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90206-5

zbMATH Keywords

recurrencecompletely regular semigroupslocally compact semigroup

Mathematics Subject Classification ID

Convergence of probability measures (60B10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

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• A class of Bernoulli random matrices with continuous singular stationary measures
• Limit behavior of the convolution iterates of a probability measure on a semigroup of matrices
• Recurrent random walks and invariant measures on semigroups of \(n\times n\) matrices
• Measures on topological semigroups: Convolution products and random walks
• On the limit of the convolution iterates of a probability measure on \(n\times n\) stochastic matrices
• A Linear Model of a Hydromagnetic Dynamo and Products of Random Matrices
• More on limit theorems for iterates of probability measures on semigroups and groups
• On infinite products of random elements and infinite convolutions of probability distributions on locally compact groups
• Representation of Random Matrices in Orispherical Coordinates and Its Application to Telegraph Equations

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