Victor Vargas

activity

20152024

most citedEquilibrium states and zero temperature limit on topologically transitive countable Markov shifts

13 citations · 34 across the 12 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

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 $Σ$ , a locally constant potential $ϕ : Σ \to R$ satisfying suitable conditions, and assume that $μ_{t}$ 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 $N \in N_{0} := N \cup {0}$ can be located at a site. This point of view leads…

math-ph2023

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…