On the distality and expansivity of certain maps on spheres

DOI10.1080/14689367.2023.2248013arXiv2209.05236OpenAlexW4386398296MaRDI QIDQ6181632

Gianluca Faraco, Alok K. Yadav, Manoj Choudhuri

Publication date: 22 January 2024

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.05236

zbMATH Keywords

spherestopological dynamicsdistalityexpansivityhomeomorphisms

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Cites Work

• Distal actions and shifted convolution property
• Distral transformation groups
• On conjugacy of homeomorphisms of the circle possessing periodic points
• Continuous maps of the circle without periodic points
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Nilpotent Lie groups and hyperbolic automorphisms
• Expansive automorphisms on locally compact groups
• Dynamics of certain distal actions on spheres
• The existence of expansive homeomorphisms on manifolds
• The nonexistence of expansive homeomorphisms on a closed 2-cell
• Orbits of Distal Actions on Locally Compact Groups
• The Dynamics of Circle Homeomorphisms: A Hands-on Introduction
• Distal automorphism groups of Lie groups.
• Expansive homeomorphisms of surfaces
• Distal affine transformation groups.
• DISTALITY OF CERTAIN ACTIONS ON -ADIC SPHERES
• Homeomorphisms of the Circle Without Periodic Points
• Distal Affine Transformation Groups
• The Structure of Distal Flows
• Expansive homeomorphisms of compact surfaces are pseudo-Anosov

This page was built for publication: On the distality and expansivity of certain maps on spheres