9 papers
Random Trees in Hyperbolic FPP
Riddhipratim Basu, Mahan Mj
We start by surveying known properties of first passage percolation (FPP) geodesics on a Gromov-hyperbolic group . Due to a coalescence phenomenon established in earlier work of…
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…
Rotationally invariant first passage percolation: Breaking the variance barrier
Riddhipratim Basu, Vladas Sidoravicius, Allan Sly
For first passage percolation (FPP) on Euclidean lattices with , it is expected that the variance of the first passage time between two points grows sublinea…
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…
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…
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…