Search Results - "Lopes, Artur O."

Entropy, Pressure, Ground States and Calibrated Sub-actions for Linear Dynamics by Lopes, Artur O., Vargas, Victor

“…Denote by X a Banach space and by T : X → X a bounded linear operator with non-trivial kernel satisfying suitable conditions. We consider the concepts of…”
Get full text

The generalized IFS Bayesian method and an associated variational principle covering the classical and dynamical cases by Lopes, Artur O., Mengue, Jairo. K.

“…We introduce a general IFS Bayesian method for getting posterior probabilities from prior probabilities, and also a generalized Bayes' rule, which will…”
Get full text

Phase Transitions in One-Dimensional Translation Invariant Systems: A Ruelle Operator Approach by Cioletti, Leandro, Lopes, Artur O.

“…We consider a family of potentials f , derived from the Hofbauer potentials, on the symbolic space Ω = { 0 , 1 } N and the shift mapping σ acting on it. A…”
Get full text

Bayes Posterior Convergence for Loss Functions via Almost Additive Thermodynamic Formalism by Lopes, Artur O., Lopes, Silvia R. C., Varandas, Paulo

“…Statistical inference can be seen as information processing involving input information and output information that updates belief about some unknown…”
Get full text

Gibbs states and Gibbsian specifications on the space ℝℕ by Lopes, Artur O., Vargas, Victor

“…We are interested in the study of Gibbs and equilibrium probabilities on the space state . We consider the unilateral full-shift σ defined on the non-compact…”
Get full text

Large Deviations for Stationary Probabilities of a Family of Continuous Time Markov Chains via Aubry–Mather Theory by Lopes, Artur O., Neumann, Adriana

“…In the present paper, we consider a family of continuous time symmetric random walks indexed by k ∈ N , { X k ( t ) , t ≥ 0 } . For each k ∈ N the matching…”
Get full text

Continuous Groupoids on the Symbolic Space, Quasi-Invariant Probabilities for Haar Systems and the Haar–Ruelle Operator by Lopes, Artur O., Oliveira, Elismar R.

“…We consider groupoids on { 1 , 2 , … , d } N , cocycles and the counting measure as transverse function. We generalize results relating quasi-invariant…”
Get full text

Explicit examples in ergodic optimization by Ferreira, Hermes H., Lopes, Artur O., Oliveira, Elismar R.

“…Denote by T the transformation T ( x ) = 2 x (mod 1). Given a potential A : S 1 → R we are interested in exhibiting in several examples the explicit expression…”
Get full text

A detailed proof of the von Neumann’s Quantum Ergodic Theorem by Lopes, Artur O., Sebastiani, Marcos

“…We present a simplified proof of the von Neumann’s Quantum Ergodic Theorem. This important result was initially published in German by von Neumann in 1929. We…”
Get full text

The Ruelle operator for symmetric $\beta$-shifts by Lopes, Artur O., Vargas, Victor

Get full text

Gibbs states and Gibbsian specifications on the space ℝ ℕ by Lopes, Artur O., Vargas, Victor

Get full text

Lyapunov Exponents for Quantum Channels: An Entropy Formula and Generic Properties by Brasil, Jader E., Knorst, Josué, Lopes, Artur O.

“…We denote by M k the set of k by k matrices with complex entries. We consider quantum channels φ L of the form: given a measurable function L: M k → M k and a…”
Get full text

Duality Theorems in Ergodic Transport by Lopes, Artur O., Mengue, Jairo K.

“…We analyze several problems of Optimal Transport Theory in the setting of Ergodic Theory. In a certain class of problems we consider questions in Ergodic…”
Get full text

Generic properties for random repeated quantum iterations by Lopes, Artur O., Sebastiani, Marcos

“…We denote by M n the set of n by n complex matrices. Given a fixed density matrix β : C n → C n and a fixed unitary operator U : C n ⊗ C n → C n ⊗ C n , the…”
Get full text

A Thermodynamic Formalism for Continuous Time Markov Chains with Values on the Bernoulli Space: Entropy, Pressure and Large Deviations by Lopes, Artur, Neumann, Adriana, Thieullen, Philippe

“…Through this paper we analyze the ergodic properties of continuous time Markov chains with values on the one-dimensional spin lattice (also known as the…”
Get full text

On generic G -prevalent properties and a quantitative K-S theorem for C r diffeomorphisms of the circle by Lopes, Artur O., Oliveira, Elismar R.

Get full text

On generic G-prevalent properties and a quantitative K-S theorem for C super()rdiffeomorphisms of the circle by Lopes, Artur O, Oliveira, Elismar R

“…We will consider a convex subset of a metric linear space and a certain group of actions G on this set, that allow us to define the notion of Haar zero measure…”
Get full text

On generic G-prevalent properties and a quantitative K-S theorem for Cr diffeomorphisms of the circle by Lopes, Artur O., Oliveira, Elismar R.

“…We will consider a convex subset of a metric linear space and a certain group of actions G on this set, that allow us to define the notion of Haar zero measure…”
Get full text

Directional derivatives and the central limit theorem on compact general one-dimensional lattices by Lopes, Artur O, Vargas, Victor

“…We will show the central limit theorem for the general one-dimensional lattice where the space of symbols is a compact metric space. We consider the CLT for…”
Get full text

On the quantum Guerra-Morato Action Functional by Knorst, Josue, Lopes, Artur O

“…Given a smooth potential $W:\mathrm{T}^{n} \to \mathbb{R}$ on the torus, the Quantum Guerra-Morato action functional is given by \smallskip $…”
Get full text