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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.DS2024
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 $μ_…