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math.DS2022★ 1 cited
On Measurable Properties of Anosov Endomorphisms of Torus
F. Micena
We found a dichotomy involving the unstable Lyapunov exponent of a special Anosov endomorphism of the torus induced by the conjugacy with the linearization. In fact, either every u…
math.DS2022
A relation between entropy and transitivity of Anosov diffeomorphisms
F. Micena
It is known that transitive Anosov diffeomorphisms have a unique measure of maximal entropy (MME). Here we discuss the converse question. Under suitable hypothesis on Lyapunov expo…
math.DS2022
Some sufficient conditions for transitivity of Anosov diffeomorphisms
F. Micena
Given a - Anosov diffemorphism we prove that the jacobian condition for every point such that implies transitivity. As a…