Distribution of closed orbits for linear automorphisms of tori

DOI10.1088/0951-7715/8/5/010zbMath0843.58099OpenAlexW1973835775MaRDI QIDQ4851044

Stefano Isola, Mirko Degli Esposti

Publication date: 26 November 1995

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/8/5/010

zbMATH Keywords

periodic orbitsasymptoticsdistributionszeta functionhyperbolic automorphism\(d\)-dimensional torus

Mathematics Subject Classification ID

Exponential sums (11T23) Other character sums and Gauss sums (11T24) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems with hyperbolic behavior (37D99)

Related Items (6)

Unnamed Item ⋮ Kloosterman sums and their applications: A review ⋮ Nonlinear rotations on a lattice ⋮ Scaling dynamics of a cubic interval-exchange transformation ⋮ A note on the dynamical zeta function of general toral endomorphisms ⋮ An algorithmic view of pseudochaos

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