Periodic orbits of linear endomorphisms on the 2-torus and its lattices
Dynamical Systems
2008-10-06 v1
Abstract
Counting periodic orbits of endomorphisms on the 2-torus is considered, with special focus on the relation between global and local aspects and between the dynamical zeta function on the torus and its analogue on finite lattices. The situation on the lattices, up to local conjugacy, is completely determined by the determinant, the trace and a third invariant of the matrix defining the toral endomorphism.
Keywords
Cite
@article{arxiv.0808.3489,
title = {Periodic orbits of linear endomorphisms on the 2-torus and its lattices},
author = {Michael Baake and John A. G. Roberts and Alfred Weiss},
journal= {arXiv preprint arXiv:0808.3489},
year = {2008}
}
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22 pages