Recurrence properties of superadditive processes and universally good weights

DOI10.1090/CONM/797/15954MaRDI QIDQ6494705

Doğan Çömez

Publication date: 30 April 2024

zbMATH Keywords

recurrenceuniversally good sequencessuperadditive processes

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) Probabilistic measure theory (60A10) Ergodic theory (37A99)

Cites Work

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• Linear sequences and weighted ergodic theorems
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• On modulated ergodic theorems for Dunford-Schwartz operators
• Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa)
• Nonconventional ergodic averages and nilmanifolds
• The Weighted Pointwise Ergodic Theorem and the Individual Ergodic Theorem Along Subsequences
• A ratio ergodic theorem for superadditive processes
• Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold
• Norm convergence of multiple ergodic averages for commuting transformations
• Ergodic averages with generalized weights
• ERGODIC AVERAGES FOR INDEPENDENT POLYNOMIALS AND APPLICATIONS

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