On Katznelson’s Question for skew-product systems

DOI10.1090/bull/1764OpenAlexW3175596716MaRDI QIDQ5868654

Andreas Koutsogiannis, Daniel Glasscock, Florian Karl Richter

Publication date: 21 September 2022

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.11393

zbMATH Keywords

Bohr setsisometric extensionsskew productssyndetic setsKronecker factortopological recurrenceequicontinuous systemsBohr recurrence

Mathematics Subject Classification ID

Continuous maps (54C05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (2)

Special cases and equivalent forms of Katznelson's problem on recurrence ⋮ Bohr sets in sumsets II: countable abelian groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Variations on topological recurrence
• Combinatorial number theory and additive group theory. With a foreword by Javier Cilleruelo, Marc Noy and Oriol Serra (Coordinators of the DocCourse)
• Large independent sets in shift-invariant graphs
• Application of Banach limits to the study of sets of integers
• On Weyl sums and skew products over irrational rotations
• On minimal actions of Polish groups
• Zero-sum subsequences in bounded-sum \(\{-1,1\}\)-sequences
• Sumsets of dense sets and sparse sets
• On the interplay between additive and multiplicative largeness and its combinatorial applications
• Bohr sets in triple products of large sets in amenable groups
• Bohr compactifications and a result of Folner
• A proof of the main theorem for almost periodic functions in an Abelian group
• Sumsets in difference sets
• Separating Bohr denseness from measurable recurrence
• Relativized Weak Disjointness and Relatively Invariant Measures
• On two recurrence problems
• Nil Bohr-sets and almost automorphy of higher order
• Some new examples of recurrence and non-recurrence sets for products of rotations on the unit circle
• The Equicontinuous Structure Relation for Minimal Abelian Transformation Groups
• On the Bohr Topology in Amenable Topological Groups.
• Generalization of a theorem of Bogolioùboff to topological groups. With an appendix on Banach mean values in nonabelian groups
• Chromatic numbers of Cayley graphs on \(\mathbb Z\) and recurrence

This page was built for publication: On Katznelson’s Question for skew-product systems