4 papers
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…
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…
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…
Noncommutative integration, quantum mechanics, Tannaka's theorem for compact groupoids and examples
Artur O. Lopes, Marcos Sebastian, Victor Vargas
We consider topological groupoids in finite and also in a compact settings. In the initial sections, we introduce definitions of typical observables and we studied them in the cont…