UNIQUENESS OF THE MEASURE OF MAXIMAL ENTROPY FOR GEODESIC FLOWS ON SURFACES

Yuri Lima (Universidade de Sao Paulo)

Thursday 2nd April 15:00-16:00
Maths 116

Abstract

We prove that if a geodesic flow on a surface is transitive and has positive
topological entropy, then it has a unique measure of maximal entropy. This covers
all previous results of the literature, as well as it applies to other previously unknown
contexts such as the ones constructed by Donnay. The proof uses the existence
of Birkhoff sections (Alves-Mazzucchelli) and of irreducible codings of homoclinic
classes of measures (Buzzi-Crovisier-Lima). This is a joint work with Davi Obata
and Mauricio Poletti.

Add to your calendar

Download event information as iCalendar file (only this event)