We consider (M, d) a connected and compact manifold and we denote by the Bernoulli
space Mℤ. The analogous problem on the half-line ℕ is also considered. Let be an …

Ergodic optimization is the study of problems relating to maximizing orbits and invariant
measures, and maximum ergodic averages. An orbit of a dynamical system is called a larger …

Entropy and variational principle for one-dimensional lattice systems with a general a priori
probability: positive and zero tem Page 1 Ergod. Th. & Dynam. Sys. (2015), 35, 1925–1961 …

We study some aspects of nonequilibrium thermodynamics and heat diffusion processes
based on Suykens's nonlocal-in-time kinetic energy approach recently introduced in the …

The Gibbs measures of an interaction can behave chaotically as the temperature drops to
zero. We observe that for some classical lattice systems there are interactions exhibiting a …

We consider a Riemmaniann compact manifold $ M $, the associated Laplacian $\Delta $
and the corresponding Brownian motion $ X_t $, $ t\geq 0. $ Given a Lipschitz function $ V …

Consider the semi-flow given by the continuous time shift Θ t: D→ D, t≥ 0, acting on the D of
càdlàg paths (right continuous with left limits) w:[0,∞)→ S 1, where S 1 is the unitary circle …

Consider the shift T acting on the Bernoulli space\varSigma={1, 2, 3,.., d\}^ N and
A:\varSigma → R a Hölder potential. Denote m (A)=\max _ ν an invariant probability for T ∫ …

We consider (M, d) a connected and compact manifold and we denote by X the Bernoulli
space. The shift acting on X is denoted by σ. We analyse the general XY model, as …

We consider a piecewise analytic real expanding map f: 0, 1→ 0, 1 of degree d which
preserves orientation, and a real analytic positive potential g: 0, 1→ ℝ. We assume the map …