3 papers
math.DS2018
Equilibrium measures for some partially hyperbolic systems
Vaughn Climenhaga, Yakov Pesin, Agnieszka Zelerowicz
We study thermodynamic formalism for topologically transitive partially hyperbolic systems in which the center-stable bundle satisfies a bounded expansion property, and show that e…
math.DS2018
Equilibrium states in dynamical systems via geometric measure theory
Vaughn Climenhaga, Yakov Pesin, Agnieszka Zelerowicz
Given a dynamical system with a uniformly hyperbolic (`chaotic') attractor, the physically relevant Sinai-Ruelle-Bowen (SRB) measure can be obtained as the limit of the dynamical e…
math.DS2018
Thermodynamics via inducing
Farruh Shahidi, Agnieszka Zelerowicz
We consider continuous maps on compact metric spaces admitting inducing schemes of hyperbolic type introduced in [15] as well as the induced maps $\tilde{f}:\tilde{X}\to…