Orbits for products of maps
Dynamical Systems
2010-01-05 v1 Number Theory
Abstract
We study the behaviour of the dynamical zeta function and the orbit Dirichlet series for products of maps. The behaviour under products of the radius of convergence for the zeta function, and the abscissa of convergence for the orbit Dirichlet series, are discussed. The orbit Dirichlet series of the cartesian cube of a map with one orbit of each length is shown to have a natural boundary.
Keywords
Cite
@article{arxiv.1001.0314,
title = {Orbits for products of maps},
author = {Apisit Pakapongpun and Thomas Ward},
journal= {arXiv preprint arXiv:1001.0314},
year = {2010}
}