Now showing items 1-4 of 4

    • Asymptotic behavior of branching diffusion processes in periodic media 

      Hebbar, P; Koralov, L; Nolen, J
      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 number of particles in a bounded domain, ...
    • Higher order asymptotics for large deviations -- Part I 

      Fernando, K; Hebbar, P
      For sequences of non-lattice weakly dependent random variables, we obtain asymptotic expansions for Large Deviation Principles. These expansions, commonly referred to as strong large deviation results, are in the spirit ...
    • Higher order asymptotics for large deviations -- Part II 

      Fernando, K; Hebbar, P
      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 additive functionals of solutions ...
    • Multi-type branching processes with time-dependent branching rates 

      Dolgopyat, D; Hebbar, P; Koralov, L; Perlman, M (Journal of Applied Probability, 2018-09-01)
      Copyright © Applied Probability Trust 2018. Under mild nondegeneracy assumptions on branching rates in each generation, we provide a criterion for almost sure extinction of a multi-type branching process with time-dependent ...