M. Bronzi

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math.DS2017

Equilibrium measure for one-dimensional Lorenz-like expanding Maps

Marcus Bronzi, Juliano G. Oler

Let $L : [0, 1] ∖ {d} \to [0, 1]$ be a one-dimensional Lorenz like expanding map ( $d$ is the point of discontinuity), $P = {(0, d), (d, 1)}$ be a partition of $…

math.DS2010

Homoclinic tangency and variation of entropy

Marcus Bronzi, Ali Tahzibi

In this paper we study the effect of a homoclinic tangency in the variation of the topological entropy. We prove that a diffeomorphism with a homoclinic tangency associated to a ba…