T. Kucherenko

activity

20122020

most citedGeometry and entropy of generalized rotation sets

2 citations · 2 across the 1 of their papers we have counts for

collaborators

4 papers

math.DS2020

Multiple phase transitions on compact symbolic systems

Tamara Kucherenko, Anthony Quas, Christian Wolf

Let $ϕ : X \to R$ be a continuous potential associated with a symbolic dynamical system $T : X \to X$ over a finite alphabet. Introducing a parameter $β > 0$ (interpreted as the in…

math.DS2019

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 $Y \subset X$ with positive entropy…

math.DS2016

Ground States and Zero-Temperature Measures at the Boundary of Rotation Sets

Tamara Kucherenko, Christian Wolf

We consider a continuous dynamical system $f : X \to X$ on a compact metric space $X$ equipped with an $m$ -dimensional continuous potential $Φ=(ϕ_1,\cdots,ϕ_m):X\to \bR^m$. We study t…

math.DS2012★ 2 cited

Geometry and entropy of generalized rotation sets

Tamara Kucherenko, Christian Wolf

For a continuous map $f$ on a compact metric space we study the geometry and entropy of the generalized rotation set $R (Φ)$ . Here $Φ = (ϕ_{1}, ..., ϕ_{m})$ is a $m$ -dimensional continuous…