55 citations · 138 across the 62 of their papers we have counts for
8 papers · 1 filter
Temporal Correlation in Last Passage Percolation with Flat Initial Condition via Brownian Comparison
Riddhipratim Basu, Shirshendu Ganguly, Lingfu Zhang
We consider directed last passage percolation on with exponential passage times on the vertices. A topic of great interest is the coupling structure of the weights o…
Hausdorff dimensions for shared endpoints of disjoint geodesics in the directed landscape
Erik Bates, Shirshendu Ganguly, Alan Hammond
Within the Kardar-Parisi-Zhang universality class, the space-time Airy sheet is conjectured to be the canonical scaling limit for last passage percolation models. In recent work ar…
Lower Deviations in -ensembles and Law of Iterated Logarithm in Last Passage Percolation
Riddhipratim Basu, Shirshendu Ganguly, Milind Hegde +1
For the last passage percolation (LPP) on with exponential passage times, let denote the passage time from to . We investigate the law of iter…
Sub-critical Exponential random graphs: concentration of measure and some applications
Shirshendu Ganguly, Kyeongsik Nam
The exponential random graph model (ERGM) is a central object in the study of clustering properties in social networks as well as canonical ensembles in statistical physics. Despit…
High-girth near-Ramanujan graphs with localized eigenvectors
Noga Alon, Shirshendu Ganguly, Nikhil Srivastava
We show that for every prime and , there is an infinite sequence of -regular graphs with girth at least , second adjac…
Fractal geometry of Airy_2 processes coupled via the Airy sheet
Riddhipratim Basu, Shirshendu Ganguly, Alan Hammond
In last passage percolation models lying in the Kardar-Parisi-Zhang universality class, maximizing paths that travel over distances of order accrue energy that fluctuates on sc…
Ground States And Hyperuniformity Of The Hierarchical Coulomb Gas In All Dimensions
Shirshendu Ganguly, Sourav Sarkar
Stochastic point processes with Coulomb interactions arise in various natural examples of statistical mechanics, random matrices and optimization problems. Often such systems due t…
Connecting Eigenvalue Rigidity with Polymer Geometry: Diffusive Transversal Fluctuations under Large Deviation
Riddhipratim Basu, Shirshendu Ganguly
We consider the exactly solvable model of exponential directed last passage percolation on in the large deviation regime. Conditional on the upper tail large deviati…