4 papers
Joint parameters estimation in cubic tensor model
Sumit Mukherjee, Arnab Sen, Qiang Wu
We study joint parameter estimation from a single observation in high-dimensional Gibbs measures with cubic tensor interactions, motivated by dense ERGMs, arithmetic-progression mo…
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.…