3 papers
math-ph2024
Long-Range Ising Models: Contours, Phase Transitions and Decaying Fields
Lucas Affonso, Rodrigo Bissacot, Eric O. Endo +1
Inspired by Fröhlich-Spencer and subsequent authors who introduced the notion of contour for long-range systems, we provide a definition of contour and a direct proof for the phas…
math-ph2024
Local Central Limit Theorem for unbounded long-range potentials
Eric O. Endo, Roberto Fernández, Vlad Margarint +1
We prove the equivalence between the integral central limit theorem and the local central limit theorem for two-body potentials with long-range interactions on the lattice $\mathbb…
math-ph2024
On Long Range Ising Models with Random Boundary Conditions
Eric O. Endo, Aernout C. D. van Enter, Arnaud Le Ny
We consider polynomial long-range Ising models in one dimension, with ferromagnetic pair interactions decaying with power (for ), and prepared with randomly ch…