3 citations · 6 across the 8 of their papers we have counts for
12 papers
Computability of -Beroulli Measures and Measures of Maximal Entropy on Coded Shift Spaces
Tamara Kucherenko, Marco López, Christian Wolf
In this paper, we investigate the computability of -Bernoulli measures, with a particular focus on measures of maximal entropy (MMEs) on coded shift spaces. Coded shif…
Freezing Phase Transitions for Lattice Systems and Higher-Dimensional Subshifts
J. -R. Chazottes, T. Kucherenko, A. Quas
Let , where and is a finite set, equipped with the action of the shift map. For a given continuous potential $ϕ: \mathcal{A…
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…
Ergodic theory on coded shift spaces
Tamara Kucherenko, Martin Schmoll, Christian Wolf
We study ergodic-theoretic properties of coded shift spaces. A coded shift space is defined as a closure of all bi-infinite concatenations of words from a fixed countable generatin…
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…
Multiple phase transitions on compact symbolic systems
Tamara Kucherenko, Anthony Quas, Christian Wolf
Let be a continuous potential associated with a symbolic dynamical system over a finite alphabet. Introducing a parameter (interpreted as the in…
Measures of maximal entropy on subsystems of topological suspension semi-flows
Tamara Kucherenko, Daniel J. Thompson
Given a compact topological dynamical system (X, f) with positive entropy and upper semi-continuous entropy map, and any closed invariant subset with positive entropy…
Measures of maximal entropy for suspension flows over the full shift
Tamara Kucherenko, Daniel J. Thompson
We consider suspension flows with continuous roof function over the full shift on a finite alphabet. For any positive entropy subshift of finite type , we explictl…
Ground States and Zero-Temperature Measures at the Boundary of Rotation Sets
Tamara Kucherenko, Christian Wolf
We consider a continuous dynamical system on a compact metric space equipped with an -dimensional continuous potential $Φ=(ϕ_1,\cdots,ϕ_m):X\to \bR^m$. We study t…
Localized topological pressure and equilibrium states
Tamara Kucherenko, Christian Wolf
We introduce the notion of localized topological pressure for continuous maps on compact metric spaces. The localized pressure of a continuous potential is computed by consider…
Geometry and entropy of generalized rotation sets
Tamara Kucherenko, Christian Wolf
For a continuous map on a compact metric space we study the geometry and entropy of the generalized rotation set . Here is a -dimensional continuous…