The Kloss convergence principle for products of random variables with values in a compact group and distributions determined by a Markov chain

DOI10.1515/DMA.2008.003zbMath1191.60010OpenAlexW2000626461MaRDI QIDQ3184515

Igor A. Kruglov

Publication date: 21 October 2009

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma.2008.003

zbMATH Keywords

weak convergenceMarkov chainHaar measurecompact groupKloss convergence principle

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Convergence of probability measures (60B10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

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On the completely indecomposable nonnegative matrices and A. N. Kolmogorov's condition ⋮ Оценка скорости сходимости к равномерному распределению для произведений элементов конечной группы, управляемых цепью Маркова ⋮ Условия предельной равновероятности состояний регистров сдвига ⋮ Ergodicity of the probabilistic converter, a serial connection of two automata

Cites Work

• Gleichverteilungseigenschaften von Verteilungsgesetzen zufälliger Summen, deren Summanden einer verallgemeinerten MARKOWschen Abhängigkeit unterworfen sind
• Connection between Markov chains on finite simple groups and fundamental groups
• Composition Convergent Sequences of Measures on Compact Groups

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