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math.DS2025
Extendable Shift Maps and Weighted Endomorphisms on Generalized Countable Markov Shifts
Rodrigo Bissacot, Iván Diaz-Granados, Thiago Raszeja
We obtain an operator algebraic characterization for when we can continuously extend the shift map from a standard countable Markov shift to its respective generalized count…
math.DS2024
Zero-Temperature Chaos in Bidimensional Models with Finite-Range Potentials
Sebastián Barbieri, Rodrigo Bissacot, Gregório Dalle Vedove +1
We construct a finite-range potential on a bidimensional full shift on a finite alphabet that exhibits a zero-temperature chaotic behavior as introduced by van Enter and Ruszel. Th…