31 citations · 144 across the 27 of their papers we have counts for
4 papers · 1 filter
Phase Transitions in the semi-infinite Ising model with a decaying field
Rodrigo Bissacot, João Maia
We study the semi-infinite Ising model with an external field , is the wall influence, and . This external field decays as it gets further away from the…
Gibbs Measures on Multidimensional Spaces. Equivalences and a Groupoid Approach
Rodrigo Bissacot, Bruno Hideki Fukushima-Kimura, Rafael Pereira Lima +1
We consider some of the main notions of Gibbs measures on subshifts introduced by different communities, such as dynamical systems, probability, operator algebras, and mathematical…
Phase Transitions in Multidimensional Long-Range Random Field Ising Models
Lucas Affonso, Rodrigo Bissacot, João Maia
We extend a recent argument by Ding and Zhuang from nearest-neighbor to long-range interactions and prove the phase transition in a class of ferromagnetic random field Ising models…
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…