3 papers
math.DS2026
Asymptotic behavior of the pressure function for Hölder potentials
Tamara Kucherenko, Anthony Quas
We study the behavior of the pressure function for Hölder continuous potentials on mixing subshifts of finite type. The classical theory of thermodynamic formalism shows that such…
math.DS2026
Universal Gap Growth for Lyapunov Exponents of Perturbed Matrix Products
Jason Atnip, Gary Froyland, Cecilia González-Tokman +1
We study the quantitative simplicity of the Lyapunov spectrum of -dimensional bounded matrix cocycles subjected to additive random perturbations. In dimensions 2 and 3, we estab…
math.DS2024
Realization of Anosov Diffeomorphisms on the Torus
Tamara Kucherenko, Anthony Quas
We study area preserving Anosov maps on the two-dimensional torus within a fixed homotopy class. We show that the set of pressure functions for Anosov diffeomorphisms with respect…