55 citations · 138 across the 62 of their papers we have counts for
80 papers
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…
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…
On quantum to classical comparison for Davies generators
Joao Basso, Shirshendu Ganguly, Alistair Sinclair +3
Despite extensive study, our understanding of quantum Markov chains remains far less complete than that of their classical counterparts. [Temme'13] observed that the Davies Lindbla…
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…
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…
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…
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…
Critical level set percolation for the GFF in : comparison principles and some consequences
Shirshendu Ganguly, Kaihao Jing
The intrinsic geometry of the critical percolation cluster induced by the level set of the metric Gaussian free field on has been the subject of much recent activi…
Last passage percolation in hierarchical environments
Shirshendu Ganguly, Victor Ginsburg, Kyeongsik Nam
Last passage percolation (LPP) is a model of a directed metric and a zero-temperature polymer where the main observable is a directed path evolving in a random environment accruing…
Gaussian to log-normal transition for independent sets in a percolated hypercube
Mriganka Basu Roy Chowdhury, Shirshendu Ganguly, Vilas Winstein
Independent sets in graphs, i.e., subsets of vertices where no two are adjacent, have long been studied, for instance as a model of hard-core gas. The -dimensional hypercube, $\…
The ant on loops: Alexander-Orbach conjecture for the critical level set of the Gaussian free field
Shirshendu Ganguly, Kyeongsik Nam
Alexander and Orbach (AO) in 1982 conjectured that the simple random walk on critical percolation clusters (also known as the ant in the labyrinth) in Euclidean lattices exhibit me…
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…
Characterizing Gibbs states for area-tilted Brownian lines
Mriganka Basu Roy Chowdhury, Pietro Caputo, Shirshendu Ganguly
Gibbsian line ensembles are families of Brownian lines arising in many natural contexts such as the level curves of three dimensional Ising interfaces, the solid-on-solid model, mu…
Unique continuation on planar graphs
Ahmed Bou-Rabee, William Cooperman, Shirshendu Ganguly
We show that a discrete harmonic function which is bounded on a large portion of a periodic planar graph is constant. A key ingredient is a new unique continuation result for the w…
Uniqueness, mixing, and optimal tails for Brownian line ensembles with geometric area tilt
Pietro Caputo, Shirshendu Ganguly
We consider non-colliding Brownian lines above a hard wall, which are subject to geometrically growing (given by a parameter ) area tilts, which we call the -tilted line en…
Universality of Poisson-Dirichlet law for log-correlated Gaussian fields via level set statistics
Shirshendu Ganguly, Kyeongsik Nam
Many low temperature disordered systems are expected to exhibit Poisson-Dirichlet (PD) statistics. In this paper, we focus on the case when the underlying disorder is a logarithmic…
Discrete geodesic local time converges under KPZ scaling
Shirshendu Ganguly, Lingfu Zhang
The directed landscape constructed in (Dauvergne-Ortmann-Virag '18) produces a directed, planar, random geometry, and is believed to be the universal scaling limit of two-dimension…
Sharp upper tail behavior of line ensembles via the tangent method
Shirshendu Ganguly, Milind Hegde
We develop a new probabilistic and geometric method to obtain several sharp results pertaining to the upper tail behavior of continuum Gibbs measures on infinite ensembles of rando…
Spectral large deviations of sparse random matrices
Shirshendu Ganguly, Ella Hiesmayr, Kyeongsik Nam
Eigenvalues of Wigner matrices has been a major topic of investigation. A particularly important subclass of such random matrices is formed by the adjacency matrix of an Erdős-Rény…
Fractal geometry of the space-time difference profile in the directed landscape via construction of geodesic local times
Shirshendu Ganguly, Lingfu Zhang
The Directed Landscape, a random directed metric on the plane (where the first and the second coordinates are termed spatial and temporal respectively), was constructed in the brea…