Multiply minimal points for the product of iterates

DOI10.1007/s11856-022-2429-9OpenAlexW3151675850MaRDI QIDQ2677814

Wen Huang, Xiang Dong Ye, Song Shao

Publication date: 6 January 2023

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.16759

Mathematics Subject Classification ID

Connections of general topology with other structures, applications (54Hxx) Lie groups (22Exx) Measure-theoretic ergodic theory (28Dxx)

Cites Work

• Horocycle flows, joinings and rigidity of products
• Raghunathan's topological conjecture and distributions of unipotent flows
• Characterizations of (H)PI extensions
• Topological dynamics and combinatorial number theory
• On Raghunathan's measure conjecture
• Proximal-isometric (\(\mathcal P\mathfrak F\)) flows
• Proximal flows
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Topological ergodic decompositions and applications to products of powers of a minimal transformation
• Mean equicontinuity, almost automorphy and regularity
• Topological correspondence of multiple ergodic averages of nilpotent group actions
• Multi-recurrence and van der Waerden systems
• Graphic Flows and Multiple Disjointness
• Poincaré recurrence and number theory
• Sensitive dependence on initial conditions
• A Simple Weakly Mixing Transformation with Nonunique Prime Factors
• Dynamical systems disjoint from any minimal system
• Disjointness of Moebius from Horocycle Flows
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
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