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math.DS2013
Calibrated configurations for Frenkel-Kontorova type models in almost-periodic environments
Eduardo Garibaldi, Samuel Petite, Philippe Thieullen
The Frenkel-Kontorova model describes how an infinite chain of atoms minimizes the total energy of the system when the energy takes into account the interaction of nearest neighbor…
math.DS2013★ 4 cited
A thermodynamic formalism for continuous time Markov chains with values on the Bernoulli Space: entropy, pressure and large deviations
Artur O. Lopes, Adriana Neumann, Philippe Thieullen
Through this paper we analyze the ergodic properties of continuous time Markov chains with values on the one-dimensional spin lattice 1,...,d}^N (also known as the Bernoulli space)…