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math.DS2012
Periodic points of Ruelle-expanding maps
Maria Carvalho, 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.
math.DS2012★ 1 cited
An ergodic theorem for non-invariant measures
Maria Carvalho, Fernando Moreira
Given a space , a -algebra on and a measurable map , we say that a measure is half-invariant if, for any , we have $μ(T^…