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math.DS2024
Directional derivatives and the central limit theorem on compact general one-dimensional lattices
Artur O. Lopes, Victor Vargas
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 Lipschitz-Gibbs probabi…
math.DS2023
A Large deviations principle at zero temperature for stationary Markov equilibrium states on countable Markov shifts
Victor Vargas
Consider a topologically transitive unilateral countable Markov shift , a locally constant potential satisfying suitable conditions, and assume that i…
math.DS2023
Grand-canonical Thermodynamic Formalism via IFS: volume, temperature, gas pressure and grand-canonical topological pressure
A. O. Lopes, E. R. Oliveira, W. de S. Pedra +1
We consider here a dynamic model for a gas in which a variable number of particles can be located at a site. This point of view leads…