SRB measures for polygonal billiards with contracting reflection laws

José Pedro Gaivão
ISEG, Universidade de Lisboa, Portugal
https://cemapre.iseg.ulisboa.pt/~jpgaivao/

Date(s) : 01/03/2016   iCal
11 h 00 min - 12 h 00 min

The billiard map of a polygonal billiard with the standard refection law is conservative and non-chaotic. Completely different dynamics arises when the reflection law is contracting, i.e. when the reflection angle measured from the normal is a contraction of the incidence angle. In this case, the billiard map is dissipative: the Liouville measure is no longer preserved. In this talk I will discuss recent results obtained in collaboration with Gianluigi Del Magno, João Lopes Dias and Pedro Duarte concerning the existence of SRB measures and their ergodic properties.

https://arxiv.org/abs/1302.1462

 

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