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math.PR2022★ 4 cited
On the TAP equations via the cavity approach in the generic mixed -spin models
Wei-Kuo Chen, Si Tang
In 1977, Thouless, Anderson, and Palmer (TAP) derived a system of consistent equations in terms of the effective magnetization in order to study the free energy in the Sherrington-…
math.PR2022★ 2 cited
Free energy of a diluted spin glass model with quadratic Hamiltonian
Ratul Biswas, Wei-Kuo Chen, Arnab Sen
We study a diluted mean-field spin glass model with a quadratic Hamiltonian. Our main result establishes the limiting free energy in terms of an integral of a family of random vari…