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math-ph2023
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…
math-ph2023
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…
math-ph2023
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…