137 citations · 271 across the 11 of their papers we have counts for
13 papers
Product type potential on the model: selection of maximizing probability and a large deviation principle
Joana Mohr
Given an interval the associated model is the space with an a priori probability on the state space . We will present here the case o…
Semiclassical limits, Lagrangian states and coboundary equations
Artur O. Lopes, Joana Mohr
Assume that is a continuous transformation . We consider here the cases where is either the transformation or is a smooth diffeomorphism of th…
An Ergodic Theorem on Ergodic Transport
Joana Mohr, Rafael Rigão Souza
Here we present an ergodic theorem which adapts a Theorem by J. Elton to the classical thermodynamical formalism and to ergodic transport. First, we discuss how Elton's theorem can…
Large Deviations for Quantum Spin probabilities at temperature zero
Artur O. Lopes, Jairo K. Mengue, Joana Mohr +1
We consider certain self-adjoint observables for the KMS state associated to the Hamiltonian over the quantum spin lattice $\mathbb{C}^2 \otimes \mathbb{C}^2 \…
Entropy, Pressure and Duality for Gibbs plans in Ergodic Transport
A. O. Lopes, J. K. Mengue, J. Mohr +1
Let be a finite set and be the Bernoulli space. Denote by the shift map acting on . For a fixed probability on with supp(), d…
Entropy and Variational Principle for one-dimensional Lattice Systems with a general a-priori probability: positive and zero temperature
Artur O. Lopes, Jairo K. Mengue, Joana Mohr +1
We generalize several results of the classical theory of Thermodynamic Formalism by considering a compact metric space as the state space. We analyze the shift acting on $M^\ma…