Model theory and metric convergence II: Averages of unitary polynomial actions

DOI10.1090/conm/775/15590zbMath1501.37007arXiv1812.01653OpenAlexW3216248229MaRDI QIDQ5085338

José Iovino, Eduardo Dueñez

Publication date: 27 June 2022

Published in: Mexican Mathematicians in the World (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.01653

zbMATH Keywords

mean ergodic theoremHenson structuresLeibman sequencesPET induction

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Applications of model theory (03C98)

Cites Work

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• Nonconventional ergodic averages and nilmanifolds
• Weakly mixing PET
• Failure of the Roth theorem for solvable groups of exponential growth
• Proof of the Quasi-Ergodic Hypothesis
• Model theory and metric convergence I: Metastability and dominated convergence
• Norm convergence of multiple ergodic averages for commuting transformations

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