Entropy of stochastic processes homogeneous with respect to a commutative group of transformations

DOI10.1007/BF01651440zbMath0405.60013OpenAlexW1995092016MaRDI QIDQ1257281

K. Appert

Publication date: 1978

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01651440

zbMATH Keywords

Commutative Group of TransformationsEntropy of a Stochastic FieldFolner ConditionVan Hove Condition

Mathematics Subject Classification ID

Random fields (60G60) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

• A generalized Shannon-McMillan theorem for the action of an amenable group on a probability space
• On groups with full Banach mean value
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