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20172026
most citedInterlacing and scaling exponents for the geodesic watermelon in last passage percolation

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math.PR2026

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…

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

Sharp moment and upper tail asymptotics for the critical Stochastic Heat Flow

Shirshendu Ganguly, Kyeongsik Nam

While dimensional growth models in the Kardar-Parisi-Zhang universality class have witnessed an explosion of activity, higher dimensional models remain much less explored. Th…

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

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…

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…