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math.PR2024
On the Replica Symmetric Solution in General Diluted Spin Glasses
Ratul Biswas, Wei-Kuo Chen, Arnab Sen
We present a unifying approach to studying the replica symmetric solution in general diluted spin glass models on random -uniform hypergraphs with sparsity parameter . Our re…
math.PR2023
Limiting eigenvalue distribution of heavy-tailed Toeplitz matrices
Ratul Biswas, Arnab Sen
We consider an random symmetric Toeplitz matrix with an i.i.d. input sequence drawn from a distribution that lies in the domain of attraction of an -stable law for…
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…