4 papers · 1 filter
Complexity of the p-spin Hamiltonian with a Non-Rotationally Invariant Potential
Wei-Kuo Chen, Te-Lun Lu, Arnab Sen
We investigate the complexity of the Hamiltonian in the pure -spin spin glass model accompanied with a polynomial-type potential on . In this Hamiltonian, the Gaus…
Joint parameter estimations for spin glasses
Wei-Kuo Chen, Arnab Sen, Qiang Wu
Spin glass models with quadratic-type Hamiltonians are disordered statistical physics systems with competing ferromagnetic and anti-ferromagnetic spin interactions. The correspondi…
Disorder Chaos in Short-Range, Diluted, and Lévy Spin Glasses
Wei-Kuo Chen, Heejune Kim, Arnab Sen
In a recent breakthrough [arXiv:2301.04112], Chatterjee proved site disorder chaos in the Edwards-Anderson (EA) short-range spin glass model utilizing the Hermite spectral method.…
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 r…