15 papers
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…
Branch lengths for geodesics in the directed landscape and mutation patterns in growing spatially structured populations
Shirshendu Ganguly, Jason Schweinsberg, Yubo Shuai
Consider a population that is expanding in two-dimensional space. Suppose we collect data from a sample of individuals taken at random either from the entire population, or from ne…
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…
Brownian bridge limit of path measures in the upper tail of KPZ models
Shirshendu Ganguly, Milind Hegde, Lingfu Zhang
For models in the KPZ universality class, such as the zero temperature model of planar last passage-percolation (LPP) and the positive temperature model of directed polymers, its u…