3 papers
math.DS2026
A Modular Structure Theorem for Minimal Periodic Decompositions and Periodicity of Configurations with
C. F. Colle, E. Garibaldi
Nivat's conjecture asserts that every two-dimensional configuration whose rectangular pattern complexity satisfies for some $…
math.DS2026
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 probabil…
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…