Uniqueness of equilibrium states for Lorenz attractors in any dimension

Autor:	Pacifico, Maria Jose, Yang, Fan, Yang, Jiagang
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	In this note, we consider the thermodynamic formalism for Lorenz attractors of flows in any dimension. Under a mild condition on the H\"older continuous potential function $\phi$, we prove that for an open and dense subset of $C^1$ vector fields, every Lorenz attractor supports a unique equilibrium state. In particular, we obtain the uniqueness for the measure of maximal entropy.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2201.06622 Zobrazit plný text záznamu View this record from Arxiv