32 citations · 58 across the 17 of their papers we have counts for
4 papers · 2 filters
Extremes of Multi-type Branching Random Walks: Heaviest Tail Wins
Ayan Bhattacharya, Krishanu Maulik, Zbigniew Palmowski +1
We consider a branching random walk on a multi()-type, supercritical Galton-Watson tree which satisfies Kesten-Stigum condition. We assume that the displacements associated with…
A large sample test for the length of memory of stationary symmetric stable random fields via nonsingular -actions
Ayan Bhattacharya, Parthanil Roy
Based on the ratio of two block maxima, we propose a large sample test for the length of memory of a stationary symmetric -stable discrete parameter random field. We show that t…
Stable random fields indexed by finitely generated free groups
Sourav Sarkar, Parthanil Roy
In this work, we investigate the extremal behaviour of left-stationary symmetric -stable (SS) random fields indexed by finitely generated free groups. We begin by studying th…
Branching Random Walks, Stable Point Processes and Regular Variation
Ayan Bhattacharya, Rajat Subhra Hazra, Parthanil Roy
Using the language of regular variation, we give a sufficient condition for a point process to be in the superposition domain of attraction of a strictly stable point process. This…