29 citations · 41 across the 6 of their papers we have counts for
7 papers
Aperiodic and linearly repetitive Lorentz gases of finite horizon are not exponentially mixing
Rodrigo Treviño, Agnieszka Zelerowicz
We prove that aperiodic and linearly repetitive Lorentz gases with finite horizon are not mixing with exponential or stretched exponential speed in any dimension for any class of H…
Emergence for diffeomorphisms with nonzero Lyapunov exponents
Agnieszka Zelerowicz
We consider the set of points with high pointwise emergence for diffeomorphisms preserving a hyperbolic measure. We find a lower bound on the Hausdorff dimension of this…
Statistical properties of Lorentz gases on aperiodic tilings, Part 1
Rodrigo Treviño, Agnieszka Zelerowicz
We consider the Lorentz gas model of category A (that is, with no corners and of finite horizon) on aperiodic repetitive tilings of of finite local complexity. We sh…
Highly irregular orbits for subshifts of finite type: large intersections and emergence
Yushi Nakano, Agnieszka Zelerowicz
In their recent paper [KNS2019], the first author, S. Kiriki, and T. Soma introduced a concept of pointwise emergence to measure the complexity of irregular orbits. They constructe…
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…
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…
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…