Jointly ergodic measure-preserving transformations

DOI10.1007/BF02760955zbMath0571.28012MaRDI QIDQ1061887

Vitaly Bergelson, Daniel Berend

Publication date: 1984

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

zbMATH Keywords

ergodicity of a measure preserving transformationfinite sets of transformationsJoint Ergodicitymultiple recurrence theorem for a weakly mixing transformation

Mathematics Subject Classification ID

Measure-preserving transformations (28D05)

Related Items (16)

Van der Corput's difference theorem: some modern developments ⋮ Joint ergodicity and mixing ⋮ Characterization of joint ergodicity for non-commuting transformations ⋮ Some open problems on multiple ergodic averages ⋮ On the multiple recurrence properties for disjoint systems ⋮ Multiple ergodic theorems ⋮ Joint ergodicity of actions of an abelian group ⋮ Seminorms for multiple averages along polynomials and applications to joint ergodicity ⋮ Seminorm control for ergodic averages with commuting transformations along pairwise dependent polynomials ⋮ Joint ergodicity of piecewise monotone interval maps ⋮ Multiple ergodic averages along functions from a Hardy field: convergence, recurrence and combinatorial applications ⋮ Decomposition of multicorrelation sequences and joint ergodicity ⋮ Joint ergodicity of sequences ⋮ Joint ergodicity along generalized linear functions ⋮ Joint ergodicity for group actions ⋮ Topological mild mixing of all orders along polynomials

Cites Work

• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• The ergodic theoretical proof of Szemerédi’s theorem
• Théorèmes ergodiques pour des mesures diagonales
• Résolution d'une équation fonctionnelle
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