Joao Maia

collaborators

2 papers

math-ph2025

Cluster Expansion and Decay of Correlations for Multidimensional Long-Range Ising Models

Lucas Affonso, Rodrigo Bissacot, JoÃ£o Maia +2

We develop the cluster expansion for the multidimensional multiscaled contours defined by three of us. These contours are suitable for long-range Ising models with interaction $J_{…

math.PR2025

Phase transitions in low-dimensional long-range random field Ising models

Jian Ding, Fenglin Huang, JoÃ£o Maia

We consider the long-range random field Ising model in dimension $d = 1, 2$ , whereas the long-range interaction is of the form $J_{x y} = ∣ x - y ∣^{- I^\pm}$ with $1 < I^\pm < 3/2$ for $d = 1$ an…