17 citations · 20 across the 5 of their papers we have counts for
6 papers
Distribution of particles near the front in supercritical branching Brownian motion with compactly supported branching
Pratima Hebbar, Leonid Koralov
We investigate the long-time behavior of a dimensional supercritical branching Brownian motion with a compactly supported branching potential. It is known that, for $\mathbf{v}…
Inhomogeneous Branching Random Walks: Incorporating Genealogy and Density Effects
Lauren Ajax, Beatrice Durham, Pratima Hebbar +2
In this paper, we introduce a novel framework using inhomogeneous Branching Random Walks (BRWs) to model growth processes, specifically introducing genealogy-dependence in branchin…
Asymptotic behavior of branching diffusion processes in periodic media
Pratima Hebbar, Leonid Koralov, James Nolen
We study the asymptotic behavior of branching diffusion processes in periodic media. For a super-critical branching process, we distinguish two types of behavior for the normalized…
Higher order asymptotics for large deviations -- Part II
Kasun Fernando, Pratima Hebbar
We obtain asymptotic expansions for the large deviation principle (LDP) for continuous time stochastic processes with weakly dependent increments. As a key example, we show that ad…
Higher order asymptotics for large deviations -- Part I
Kasun Fernando, Pratima Hebbar
For sequences of non-lattice weakly dependent random variables, we obtain asymptotic expansions for Large Deviation Principles. These expansions, commonly referred to as strong lar…
Multi-type branching processes with time dependent branching rates
Dmitry Dolgopyat, Pratima Hebbar, Leonid Koralov +1
Under mild non-degeneracy assumptions on branching rates in each generation, we provide a criterion for almost-sure extinction of a multi-type branching process with time-dependent…