A note on the growth of periodic points for commuting toral automorphisms

DOI10.5402/2012/165808zbMath1267.37022OpenAlexW2165865142WikidataQ58689928 ScholiaQ58689928MaRDI QIDQ448532

Mark Pollicott

Publication date: 7 September 2012

Published in: ISRN Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2012/165808

zbMATH Keywords

periodic pointcommuting toral automorphismhyperbolic matrix

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items

Group actions on Smale space -algebras, Directional uniformities, periodic points, and entropy

Cites Work

• Local rigidity of partially hyperbolic actions I. KAM method and \({\mathbb Z^k}\) actions on the torus
• The prime orbit theorem for quasihyperbolic toral automorphisms
• Rigidity of measurable structure for \(\mathbb Z^d\)-actions by automorphisms of a torus
• The Mahler measure of algebraic numbers: a survey
• Uniform periodic point growth in entropy rank one
• There are No New Anosov Diffeomorphisms on Tori