Amenable groups, stationary measures and partitions with independent iterates

DOI10.1007/s11856-007-0003-0zbMath1145.37300OpenAlexW2075304772MaRDI QIDQ995354

Boris Begun, Andrés Del Junco

Publication date: 3 September 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-007-0003-0

zbMATH Keywords

stationary stochastic processesamenable groupsmixing sequencescharacterizations of mixing

Mathematics Subject Classification ID

Random fields (60G60) Stationary stochastic processes (60G10) Ergodicity, mixing, rates of mixing (37A25) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (2)

Partitions with independent iterates in random dynamical systems ⋮ Conditional entropy theory in infinite measure and a question of Krengel

Cites Work

• Unnamed Item
• An ergodic Szemerédi theorem for IP-systems and combinatorial theory
• Mixing actions of groups
• Entropy and isomorphism theorems for actions of amenable groups
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Mildly Mixing Actions of Locally Compact Groups
• IP-systems in ergodic theory
• Asymptotic Properties of Unitary Representations and Mixing
• Partitions with independent iterates along IP-Sets
• On the Ergodic Mixing Theorem
• Weakly Wandering Vectors and Weakly Independent Partitions

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