4 papers
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…