73 citations · 94 across the 27 of their papers we have counts for
28 papers · 1 filter
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…
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…
Lyapunov exponents of orthogonal-plus-normal cocycles
Sam Bednarski, Anthony Quas
We consider products of matrices of the form where is a sequence of orthogonal matrices and has independent standard normal entries and the $…
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…
Flexibility of the Pressure Function
Tamara Kucherenko, Anthony Quas
We study the flexibility of the pressure function of a continuous potential (observable) with respect to a parameter regarded as the inverse temperature. The points of non-differen…
Lyapunov exponents for transfer operator cocycles of metastable maps: a quarantine approach
Cecilia González-Tokman, Anthony Quas
This works investigates the Lyapunov-Oseledets spectrum of transfer operator cocycles associated to one-dimensional random paired tent maps depending on a parameter , quantifyin…