Ergodic group actions

DOI10.1007/BF01192003zbMath0583.28006MaRDI QIDQ1070051

Joseph Max Rosenblatt

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

measure-preserving transformationsergodic group actionsKhazdan's property

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15)

Related Items (10)

Ergodic sequences of averages of group representations ⋮ Almost everywhere convergence of powers of some positive \(L_p\) contractions ⋮ Almost everywhere convergence of convolution powers on compact Abelian groups ⋮ Strong relative property \((T)\) and spectral gap of random walks ⋮ The strong sweeping out property for lacunary sequences, Riemann sums, convolution powers, and related matters ⋮ Convergence for moving averages ⋮ Good and Bad Functions for Bad Processes ⋮ Polynomially Moving Ergodic Averages ⋮ A limit theorem for order preserving nonexpansive operators in \(L_ 1\) ⋮ Almost everywhere convergence of weighted averages

Cites Work

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• The Shannon-McMillan-Breiman theorem for a class of amenable groups
• Pointwise convergence of the iterates of a Harris-recurrent Markov operator
• Translation-Invariant Linear Forms on L p (G)
• For 𝑛>3 there is only one finitely additive rotationally invariant measure on the 𝑛-sphere defined on all Lebesgue measurable subsets
• Uniqueness of Invariant Means for Measure-Preserving Transformations
• Amenability, Kazhdan's property T, strong ergodicity and invariant means for ergodic group-actions
• Shorter Notes: Convergence of Averages of Point Transformations
• An Operator Theorem on $L_1$ Convergence to Zero with Applications to Markov Kernels

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