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

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Showing 2022Show all

2 papers · 1 filter

math.DS2022★ 1 cited

Uniqueness and statistical properties of the Gibbs state on general one-dimensional lattice systems with markovian structure

Victor Vargas

Let $M$ be a compact metric space and $X = M^{N}$ , we consider a set of admissible sequences $X_{A, I} \subset X$ determined by a continuous admissibility function $A : M…

math.DS2022★ 2 cited

Existence of the zero temperature limit of equilibrium states on topologically transitive countable Markov shifts

Elmer R. Beltrán, Jorge Littin, Cesar Maldonado +1

Consider a topologically transitive countable Markov shift $Σ$ and a summable Markov potential $ϕ$ with finite Gurevich pressure and $Var_{1} (ϕ) < \infty$ . We prove existenc…