IP-systems, generalized polynomials and recurrence

DOI10.1017/S0143385706000010zbMath1107.37007OpenAlexW2170315318MaRDI QIDQ5395390

Vitaly Bergelson, Randall McCutcheon, Inger Johanne Håland

Publication date: 30 October 2006

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385706000010

zbMATH Keywords

Szemeredi's theorem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) General groups of measure-preserving transformations (28D15) General groups of measure-preserving transformations and dynamical systems (37A15) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (11)

Some open problems on multiple ergodic averages ⋮ A Hardy field extension of Szemerédi's theorem ⋮ Polynomial extensions of the Milliken-Taylor Theorem ⋮ Idempotent ultrafilters, multipleweak mixing and Szemerédi's theorem for generalized polynomials ⋮ Variations on topological recurrence ⋮ Polynomials at iterated spectra near zero ⋮ A nilpotent IP polynomial multiple recurrence theorem ⋮ A concentration function estimate and intersective sets from matrices ⋮ Recurrence and primitivity for IP systems with polynomial wildcards ⋮ FVIP systems and multiple recurrence ⋮ Problems and Results on Intersective Sets

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