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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 2023Show all

5 papers · 1 filter

math.PR2023

Rotationally invariant first passage percolation: Concentration and scaling relations

Riddhipratim Basu, Vladas Sidoravicius, Allan Sly

For rotationally invariant first passage percolation (FPP) on the plane, we use a multi-scale argument to prove stretched exponential concentration of the first passage times at th…

math.PR2023

Geodesic trees in last passage percolation and some related problems

Márton Balázs, Riddhipratim Basu, Sudeshna Bhattacharjee

For the exactly solvable model of exponential last passage percolation on , it is known that given any non-axial direction, all the semi-infinite geodesics starting f…

math.PR2023

Time correlations in KPZ models with diffusive initial conditions

Riddhipratim Basu, Xiao Shen

Temporal correlation for randomly growing interfaces in the KPZ universality class is a topic of recent interest. Most of the works so far have been concentrated on the zero temper…

math.PR2023

Temporal correlation in the inverse-gamma polymer

Riddhipratim Basu, Timo Seppäläinen, Xiao Shen

Understanding the decay of correlations in time for (1+1)-dimensional polymer models in the KPZ universality class has been a challenging topic. Following numerical studies by phys…

math.PR2023★ 1 cited

A Peano curve from mated geodesic trees in the directed landscape

Riddhipratim Basu, Manan Bhatia

For the directed landscape, the putative universal space-time scaling limit object in the (1+1) dimensional Kardar-Parisi-Zhang (KPZ) universality class, consider the geodesic tree…