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math-ph2021★ 3 cited
Local Central Limit Theorem for Long-Range Two-Body Potentials at Sufficiently High Temperatures
Eric O. Endo, Vlad Margarint
Dobrushin and Tirozzi [14] showed that, for a Gibbs measure with the finite-range potential, the Local Central Limit Theorem is implied by the Integral Central Limit Theorem. Campa…
math-ph2021★ 1 cited
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 phase…