Multiple recurrence theorem for nilpotent group actions

DOI10.1007/BF01896657zbMath0848.54025MaRDI QIDQ1343332

Alexander Leibman

Publication date: 27 October 1996

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58179

zbMATH Keywords

polynomial ergodic theoremsrecurrence theorems

Mathematics Subject Classification ID

Related Items (8)

Topological multiple recurrence for polynomial configurations in nilpotent groups ⋮ Topological characteristic factors and independence along arithmetic progressions ⋮ Polynomial orbits in totally minimal systems ⋮ Some dynamical properties related to polynomials ⋮ \({\Delta}\)-weakly mixing subset in positive entropy actions of a nilpotent group ⋮ The topological entropy of stable sets for bi-orderable amenable groups ⋮ Topological mild mixing of all orders along polynomials ⋮ Topological correspondence of multiple ergodic averages of nilpotent group actions

Cites Work

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• Topological dynamics and combinatorial number theory
• Weakly mixing PET
• Polynomial extensions of van der Waerden’s and Szemerédi’s theorems

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