An odd Furstenberg-Szemerédi theorem and quasi-affine systems

DOI10.1007/BF02786648zbMath1013.37003OpenAlexW1974782890MaRDI QIDQ698320

Bernard Host, Bryna Kra

Publication date: 20 June 2003

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02786648

zbMATH Keywords

ergodic theoremreturn timemeasure-preserving systemFurstenberg-Szemerédi ergodic theorem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25)

Related Items

Some open problems on multiple ergodic averages ⋮ Host–Kra theory for -systems and multiple recurrence ⋮ Multiple recurrence and large intersections for abelian group actions ⋮ Optimal lower bounds for multiple recurrence ⋮ Nilsystems and ergodic averages along primes ⋮ The structure of strongly stationary systems ⋮ Universal characteristic factors and Furstenberg averages ⋮ A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems ⋮ Multiple ergodic averages in abelian groups and Khintchine type recurrence

Cites Work

• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Convergence of Conze–Lesigne averages
• Théorèmes ergodiques pour des mesures diagonales
• Résolution d'une équation fonctionnelle
• Théorèmes ergodiques pour une translation sur un nilvariété
• Équations fonctionnelles, couplages de produits gauches et théorèmes ergodiques pour mesures diagonales
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