Showing 2025Show all
3 papers · 1 filter
math.PR2025
Decoupling of clusters in independent sets in a percolated hypercube
Mriganka Basu Roy Chowdhury, Shirshendu Ganguly, Vilas Winstein
Independent sets in graphs are sets of vertices containing no neighbors, and they represent a canonical spin system with hardcore constraints. Of particular interest is the setting…
math.PR2025
Spectral properties of the zero temperature Edwards-Anderson model
Mriganka Basu Roy Chowdhury, Shirshendu Ganguly
An Ising model with random couplings on a graph is a model of a spin glass. While the mean field case of the Sherrington-Kirkpatrick model is very well studied, the more realistic…
math.PR2025
Invariance principle for the Gaussian Multiplicative Chaos via a high dimensional CLT with low rank increments
Mriganka Basu Roy Chowdhury, Shirshendu Ganguly
Gaussian multiplicative chaos (GMC) is a canonical random fractal measure obtained by exponentiating log-correlated Gaussian processes, first constructed in the seminal work of Kah…