68 citations · 316 across the 71 of their papers we have counts for
6 papers · 2 filters
On generic -prevalent properties of diffeomorphisms of and a quantitative K-S theorem
Elismar R. Oliveira, Artur O. Lopes
We will consider a convex unbounded set and certain group of actions on this set. This will substitute the translation (by adding) structure usually consider in the classical s…
A dynamical point of view of Quantum Information: entropy, pressure and Wigner measures
A. Baraviera, C. F. Lardizabal, A. O. Lopes +1
Quantum Information is a new area of research which has been growing rapidly since the last decade. This topic is very close to potential applications to the so called Quantum Comp…
Quantum Stochastic Processes, Quantum Iterated Function Systems and Entropy
A. Baraviera, C. F. Lardizabal, Artur O. Lopes +1
We describe some basic results for Quantum Stochastic Processes and present some new results about a certain class of processes which are associated to Quantum Iterated Function Sy…
A Thermodynamic Formalism for density matrices in Quantum Information
A. Baraviera, C. F. Lardizabal, Artur O. Lopes +1
We consider new concepts of entropy and pressure for stationary systems acting on density matrices which generalize the usual ones in Ergodic Theory. Part of our work is to justify…
Minimax probabilities for Aubry-Mather Problems
Diogo A. Gomes, Nara Jung, Artur O. Lopes
In this paper we study minimax Aubry-Mather measures and its main properties. We consider first the discrete time problem and then the continuous time case. In the discrete time pr…
Piecewise Analytic Subactions for Analytic Dynamics
Gonzalo Contreras, Artur O. Lopes, Elismar R. Oliveira +1
We consider a piecewise analytic expanding map f: [0,1]-> [0,1] of degree d which preserves orientation, and an analytic positive potential g: [0,1] -> R. We address the analysis o…