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Seminari di Sistemi Dinamici 2022

Uniqueness of equilibrium states for Lorenz attractors

speaker: Maria Jose Pacifico (Universidade Federal do Rio de Janeiro)

abstract: In this talk we consider the thermodynamic formalism for Lorenz attractors of flows in any dimension. Under a mild condition on the H ̈older continuous potential function φ, we prove that for an open and dense subset of C1 vector fields, every Lorenz attractor supports a unique equilibrium state. In particular, we obtain the uniqueness for the measure of maximal entropy. This is joint work with Fan Yang and Jiagang Yang.

timetable:
Tue 28 Jun, 10:30 - 11:30, Sala Conferenze Centro De Giorgi
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