A note on the dynamical zeta function of general toral endomorphisms

DOI10.1007/s00605-009-0118-yzbMath1205.37039arXiv0810.1855OpenAlexW1964179968MaRDI QIDQ5961995

Eike Lau, Michael Baake, Vytautas Paškūnas

Publication date: 16 September 2010

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.1855

zbMATH Keywords

dynamical zeta functionstoral endomorphisms

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (6)

Hexagonal inflation tilings and planar monotiles ⋮ A general criterion for the Pólya-Carlson dichotomy and application ⋮ Dynamically affine maps in positive characteristic ⋮ On the Lefschetz zeta function for a class of toral maps ⋮ Dynamics on abelian varieties in positive characteristic ⋮ Spectral and topological properties of a family of generalised Thue-Morse sequences

Cites Work

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• Distribution of closed orbits for linear automorphisms of tori
• Differentiable dynamical systems
• Axiom A Diffeomorphisms have Rational Zeta Functions
• Homeomorphic conjugacy of automorphisms on the torus

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