Moyennes uniformes et moyennes suivant une marche aléatoire. (Uniform means and means according to a random walk)

DOI10.1007/BF00318786zbMath0654.60012OpenAlexW2053542816MaRDI QIDQ1108653

Jean-Pierre Kahane, Li-ming Wu, Zhiying Wen, Jacques Peyrière

Publication date: 1988

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00318786

zbMATH Keywords

Cesaro convergencecountable abelian group

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (3)

Uniform ergodic convergence and averaging along Markov chain trajectories ⋮ Exponential convergence in probability for empirical means of Lévy processes ⋮ Distinguishing sceneries by observing the scenery along a random walk path

Cites Work

• Unnamed Item
• On the almost sure convergence, of order \(\alpha\) in the sense of Césaro, \(0<\alpha<1\), for independent and identically distributed random variables.
• Borel and Banach properties of methods of summation
• Éléments ergodiques et totalement ergodiques dans $L^{∞}(Γ)$
• Coincidence values and spectra of substitutions
• Generalized Morse sequences
• Complete Convergence and the Law of Large Numbers
• Abstract Ergodic Theorems and Weak Almost Periodic Functions
• On the Equidistribution of Sums of Independent Random Variables

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