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math.DS2025
Maximizing measures for countable alphabet shifts via blur shift spaces
Eduardo Garibaldi, João T A Gomes, Marcelo Sobottka
For upper semi-continuous potentials defined on shifts over countable alphabets, this paper ensures sufficient conditions for the existence of a maximizing measure. We resort to th…
math.DS2024
Dense periodic optimization for countable Markov shift via Aubry points
Eduardo Garibaldi, João T A Gomes
For transitive Markov subshifts over countable alphabets, this note ensures that a dense subclass of locally Hölder continuous potentials admits at most a single periodic probabili…
math.DS2023
Exponential rate of decay of correlations of equilibrium states associated with non-uniformly expanding circle maps
Eduardo Garibaldi, Irene Inoquio-Renteria
In the context of expanding maps of the circle with an indifferent fixed point, understanding the joint behavior of dynamics and pairs of moduli of continuity may be a u…