MULTIPLE AND POLYNOMIAL RECURRENCE FOR ABELIAN ACTIONS IN INFINITE MEASURE

DOI10.1112/S0024610703004885zbMath1061.37003OpenAlexW2234744512MaRDI QIDQ4469261

Cesar E. Silva, Alexandre I. Danilenko

Publication date: 14 June 2004

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610703004885

zbMATH Keywords

polynomial recurrencemultiple recurrence(C,F)-transformationAbelian group action

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) General groups of measure-preserving transformations and dynamical systems (37A15) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (5)

Spectral multiplicities of infinite measure preserving transformations ⋮ Mixing constructions with infinite invariant measure and spectral multiplicities ⋮ Mixing rank-one actions for infinite sums of finite groups ⋮ Mixing on stochastic staircase tansformations ⋮ Rank-one flows of transformations with infinite ergodic index

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