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Environment seen from infinite geodesics in Liouville Quantum Gravity
Riddhipratim Basu, Manan Bhatia, Shirshendu Ganguly
First passage percolation (FPP) on or is a canonical model of a random metric space where the standard Euclidean geometry is distorted by random noise…
Small deviation estimates and small ball probabilities for geodesics in last passage percolation
Riddhipratim Basu, Manan Bhatia
For the exactly solvable model of exponential last passage percolation on , consider the geodesic joining and for large . It is well known th…
Interlacing and scaling exponents for the geodesic watermelon in last passage percolation
Riddhipratim Basu, Shirshendu Ganguly, Alan Hammond +1
In discrete planar last passage percolation (LPP), random values are assigned independently to each vertex in , and each finite upright path in is ascrib…
Upper tail large deviations of regular subgraph counts in Erdős-Rényi graphs in the full localized regime
Anirban Basak, Riddhipratim Basu
For a -regular connected graph the problem of determining the upper tail large deviation for the number of copies of in , an Erdős-Rényi gra…
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…
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…