Locally connected Smale spaces, pinched spectrum, and infra-nilmanifolds

DOI10.1016/j.aim.2020.107385zbMath1454.37032arXiv1210.7383OpenAlexW3082548020MaRDI QIDQ2006090

Volodymyr V. Nekrashevych

Publication date: 8 October 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7383

zbMATH Keywords

Anosov diffeomorphismhyperbolic dynamicsSmale space

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Invariant manifold theory for dynamical systems (37D10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamics in general topological spaces (37B02)

Cites Work

• Hyperbolic groupoids: metric and measure
• On the spectrum of Anosov diffeomorphisms
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• What an infra-nilmanifold endomorphism really should be \dots
• A simple proof of the Franks–Newhouse theorem on codimension-one Anosov diffeomorphisms
• Smale spaces via inverse limits
• Hyperbolic groupoids and duality
• Finitely presented dynamical systems
• Topological invariants for substitution tilings and their associated $C^\ast$-algebras
• Introduction to Dynamical Systems
• C*-Algebras from Smale Spaces
• Combinatorial models of expanding dynamical systems
• Differentiable dynamical systems
• On Codimension One Anosov Diffeomorphisms
• Markov Partitions for Axiom A Diffeomorphisms
• Periodic Points and Measures for Axiom a Diffeomorphisms
• There are No New Anosov Diffeomorphisms on Tori
• Expanding attractors
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item