Joao Maia

activity

20232025

collaborators

4 papers

math-ph2025

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

Lucas Affonso, Rodrigo Bissacot, João 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, João Maia

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

math-ph2024

Phase Transitions in Ising models: the Semi-infinite with decaying field and the Random Field Long-range

João Maia

In this thesis, we present results on phase transition for two models: the semi-infinite Ising model with a decaying field, and the long-range Ising model with a random field. We s…

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 $h_{i} = λ ∣ i_{d} ∣^{- δ}$ , $λ$ is the wall influence, and $δ > 0$ . This external field decays as it gets further away from the…