4 citations · 8 across the 3 of their papers we have counts for
3 papers
math.DS2023★ 2 cited
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…
math.DS2022★ 2 cited
Existence of the zero temperature limit of equilibrium states on topologically transitive countable Markov shifts
Elmer R. Beltrán, Jorge Littin, Cesar Maldonado +1
Consider a topologically transitive countable Markov shift and a summable Markov potential with finite Gurevich pressure and . We prove existenc…
math.DS2020★ 4 cited
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…