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20112026
most citedLast Passage Percolation with a Defect Line and the Solution of the Slow Bond Problem

65 citations · 164 across the 32 of their papers we have counts for

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Showing 2024 · math.PRShow all

5 papers · 2 filters

math.PR2024

Geodesic Trees and Exceptional Directions in FPP on Hyperbolic Groups

Riddhipratim Basu, Mahan Mj

We continue the study of the geometry of infinite geodesics in first passage percolation (FPP) on Gromov-hyperbolic groups G, initiated by Benjamini-Tessera and developed further b…

math.PR2024

The Paquette-Zeitouni law of fractional logarithms for the GUE minor process and the Plancherel growth process

Jnaneshwar Baslingker, Riddhipratim Basu, Sudeshna Bhattacharjee +1

It is well-known that the largest eigenvalue of an GUE matrix and the length of a longest increasing subsequence in a uniform random permutation of length , both con…

math.PR2024

Limit theorems for extrema of Airy processes

Riddhipratim Basu, Sudeshna Bhattacharjee

We establish limit theorems for the maxima and minima of Airy and Airy processes (denoted by and respectively) over growing in…

math.PR2024★ 2 cited

Optimal tail estimates in -ensembles and applications to last passage percolation

Jnaneshwar Baslingker, Riddhipratim Basu, Sudeshna Bhattacharjee +1

Hermite and Laguerre -ensembles are important and well studied models in random matrix theory with special cases corresponding to eigenvalues of classical random matri…

math.PR2024

Sharp deviation bounds for midpoint and endpoint of geodesics in exponential last passage percolation

Pranay Agarwal, Riddhipratim Basu

For exponential last passage percolation on the plane we analyse the probability that the point-to-line geodesic exhibits an atypically large transversal fluctuation at the endpoin…