M. Sebastiani

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math.DS2015

On Bertelson-Gromov Dynamical Morse Entropy

Artur O. Lopes, Marcos Sebastiani

In this mainly expository paper we present a detailed proof of several results contained in a paper by M. Bertelson and M. Gromov on Dynamical Morse Entropy. This is an introductio…

math.DS2007

Poncelet pairs and the Twist Map associated to the Poncelet Billiard

Artur O. Lopes, M. Sebastiani

We show that for a fixed curve $K$ and for a family of variables curves $L$ , the number of $n$ -Poncelet pairs is $\frac{e ( n )}{2}$ , where $e (n)$ is the number of natural numbers $m…