Some counterexamples in topological dynamics

DOI10.1017/S0143385707000508zbMath1161.37005WikidataQ124822175 ScholiaQ124822175MaRDI QIDQ3528762

Ronnie Pavlov

Publication date: 17 October 2008

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

topological dynamical system

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (8)

ℤ^d-actions with prescribed topological and ergodic properties ⋮ On local aspects of topological weak mixing, sequence entropy and chaos ⋮ Reconstructing a minimal topological dynamical system from a set of return times ⋮ Variations on topological recurrence ⋮ \(\mathrm{IP}_r^\ast\)-recurrence and nilsystems ⋮ Sumsets of dense sets and sparse sets ⋮ A multidimensional Szemerédi theorem for Hardy sequences of different growth ⋮ Prime number theorem for regular Toeplitz subshifts

Cites Work

• Unnamed Item
• Pointwise ergodic theorem along the prime numbers
• Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
• Analytic mixing reparametrizations of irrational flows
• Strict Ergodicity and Transformation of the Torus
• On the Entropy of Uniquely Ergodic Transformations
• Polynomial extensions of van der Waerden’s and Szemerédi’s theorems

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