68 citations · 316 across the 71 of their papers we have counts for
6 papers · 1 filter
Contraction in the Wasserstein metric for some Markov chains, and applications to the dynamics of expanding maps
Benoit Kloeckner, Artur Lopes, Manuel Stadlbauer
We employ techniques from optimal transport in order to prove decay of transfer operators associated to iterated functions systems and expanding maps, giving rise to a new proof wi…
Duality between Eigenfunctions and Eigendistributions of Ruelle and Koopman operators via an integral kernel
Paolo Giulietti, Artur O. Lopes, Vincent Pit
We consider the classical dynamics given by a one sided shift on the Bernoulli space of symbols. We study, on the space of Hölder functions, the eigendistributions of the Ruell…
Phase Transitions in One-dimensional Translation Invariant Systems: a Ruelle Operator Approach
Leandro M. Cioletti, Artur O. Lopes
We consider a family of potentials f, derived from the Hofbauer potentials, on the symbolic space Omega=\{0,1\}^\mathbb{N} and the shift mapping acting on it. A Ruelle operator…
Interactions, Specifications, DLR probabilities and the Ruelle Operator in the One-Dimensional Lattice
Leandro Cioletti, Artur O. Lopes
In this paper, we describe several different meanings for the concept of Gibbs measure on the lattice in the context of finite alphabets (or state space). We compare a…
Large Deviations for stationary probabilities of a family of continuous time Markov chains via Aubry-Mather theory
Artur O. Lopes, Adriana Neumann
We consider a family of continuous time symmetric random walks indexed by , . For each the matching random walk take values…
On the thin boundary of the fat attractor
Artur O. Lopes, Elismar R. Oliveira
For, , consider the transformation (mod 1) on the circle , a function , and, the map , $(x,s)…