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math-ph2026★ 1 cited
Existence of a Phase Transition in the One-Dimensional Ising Spin Glass Model with Long-Range Interactions on the Nishimori Line
Manaka Okuyama, Masayuki Ohzeki
Dyson [Commun. Math. Phys. 12, 91 (1969)] rigorously proved the existence of a phase transition in the one-dimensional Ising model with long-range interactions of the form …
math-ph2024★ 2 cited
Existence of long-range order in random-field Ising model on Dyson hierarchical lattice
Manaka Okuyama, Masayuki Ohzeki
We study the random-field Ising model on a Dyson hierarchical lattice, where the interactions decay in a power-law-like form, , with respect to the distance. Witho…