Jairo K. Mengue

Entropy and variational principle for one-dimensional lattice systems with a general a priori probability: positive and zero temperature

We generalize several results of the classical theory of thermodynamic formalism by considering a compact metric space

Duality Theorems in Ergodic Transport

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On the selection of subaction and measure for a subclass of potentials defined by P. Walters

as the state space. We analyze the shift acting on

Selection of measure and a large deviation principle for the general one-dimensional XY model

M^{\mathbb{N}}

Entropy, pressure and duality for Gibbs plans in Ergodic transport

and consider a general a priori probability for defining the transfer (Ruelle) operator. We study potentials

Large Deviations for Equilibrium Measures and Selection of Subaction

A

Selection of calibrated subaction when temperature goes to zero in the discounted problem

which can depend on the infinite set of coordinates in

Large deviations for quantum spin probabilities at temperature zero

M^{\mathbb{N}}

Thermodynamic Formalism for the General One-Dimensional XY Model: Positive and Zero Temperature

. We define entropy and by its very nature it is always a non-positive number. The concepts of entropy and transfer operator are linked. If

Zeta measures and Thermodynamic Formalism for temperature zero

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