31 citations · 144 across the 27 of their papers we have counts for
8 papers · 1 filter
Extendable Shift Maps and the Canonical Map on Generalized Countable Markov Shifts
Rodrigo Bissacot, Iván Diaz-Granados, Thiago Raszeja
We obtain an operator-algebraic characterization of when the shift map can be continuously extended from a standard countable Markov shift to its generalized countable Markov…
Thermodynamic formalism for amenable groups and countable state spaces
Elmer R. Beltrán, Rodrigo Bissacot, Luísa Borsato +1
Given the full shift over a countable state space on a countable amenable group, we develop its thermodynamic formalism. First, we introduce the concept of pressure and, using tili…
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…
Infinite DLR Measures and Volume-Type Phase Transitions on Countable Markov Shifts
Elmer R. Beltrán, Rodrigo Bissacot, Eric O. Endo
We consider the natural definition of DLR measure in the setting of -finite measures on countable Markov shifts. We prove that the set of DLR measures contains the set of confor…
A Large Deviation Principle for Gibbs States on Markov Shifts at Zero Temperature
Rodrigo Bissacot, Jairo K. Mengue, Edgardo Pérez
Let be a topologically mixing countable Markov shift with the BIP property over the alphabet and a po…
Zero-temperature phase diagram for double-well type potentials in the summable variation class
Rodrigo Bissacot, Eduardo Garibaldi, Philippe Thieullen
We study the zero-temperature limit of the Gibbs measures of a class of long-range potentials on a full shift of two symbols . These potentials were introduced by Walters…
On the existence of maximizing measures for irreducible countable Markov shifts: a dynamical proof
Rodrigo Bissacot, Ricardo Freire
We prove that if is an irreducible Markov shift space over and is coercive with bounded va…
Weak KAM methods and ergodic optimal problems for countable Markov shifts
Rodrigo Bissacot, Eduardo Garibaldi
Let be the left shift acting on , a one-sided Markov subshift on a countable alphabet. Our intention is to guarantee the existence o…