Periodic points of Ruelle-expanding maps
We prove that, for a Ruelle-expanding map, the zeta function is rational and the topological entropy is equal to the exponential growth rate of the periodic points.
math.DS↗
arXiv subjects
Publications and source records attributed to Mário Alexandre Magalhães.
We prove that, for a Ruelle-expanding map, the zeta function is rational and the topological entropy is equal to the exponential growth rate of the periodic points.
We will prove that the zeta function for Ruelle-expanding maps is rational.