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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-ph2016★ 1 cited
Stability of the Phase Transition of Critical-Field Ising Model on Cayley trees under Inhomogeneous External Fields
Rodrigo Bissacot, Eric Ossami Endo, Aernout C. D. van Enter
We consider the ferromagnetic Ising model with spatially dependent external fields on a Cayley tree, and we investigate the conditions for the existence of the phase transition for…