55 citations · 138 across the 62 of their papers we have counts for
5 papers · 1 filter
Sharp decay thresholds for eigenvalues of discrete Schrödinger operators on
Shirshendu Ganguly, Wencai Liu
We study eigenvalues of discrete Schrödinger operators on , where is the uncentered Laplacian, i.e., the un-normalized adjacency operator of $\mathbb{Z}^2…
Logarithmic intermittency of the critical 2D SHF
Shirshendu Ganguly, Kyeongsik Nam
While the solution to the dimensional stochastic heat equation with multiplicative noise is closely related to the exponential of a Brownian motion, the two-dimensional pictu…
Correlation decay in area-tilted line ensembles
Shirshendu Ganguly, Vilas Winstein
Random surfaces on a hard substrate often exhibit entropic repulsion, wherein the surface is propelled upwards to allow entropically preferable downward fluctuations. A particularl…
Temperature chaos in directed polymers
Shirshendu Ganguly, Victor Ginsburg, Zoe Himwich
Disordered systems such as spin glasses and polymers characteristically exhibit random energy landscapes with many macroscopically separated energetic valleys corresponding to near…
van den Berg-Kesten--type correlation inequalities for disjoint polymers in the KPZ universality class
Shirshendu Ganguly, Milind Hegde, Lingfu Zhang
In classical percolation theory, the van den Berg-Kesten (BK) inequality is a fundamental tool that shows that disjoint events induce negative conditionings on each other. The ineq…