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, ...
    • Reactive trajectories and the transition path process 

      Lu, J; Nolen, J (Probability Theory and Related Fields, 2014-01-01)
      © 2014, Springer-Verlag Berlin Heidelberg.We study the trajectories of a solution (formula presented) to an Itô stochastic differential equation in (formula presented), as the process passes between two disjoint open sets, ...
    • Sticky central limit theorems at isolated hyperbolic planar singularities 

      Huckemann, S; Mattingly, JC; Miller, E; Nolen, J (Electronic Journal of Probability, 2015-01-01)
      © 2015, University of Washington. Akll rights reserved.We derive the limiting distribution of the barycenter bn of an i.i.d. sample of n random points on a planar cone with angular spread larger than 2π. There are three ...
    • Sticky central limit theorems on open books 

      Hotz, T; Huckemann, S; Le, H; Marron, JS; Mattingly, JC; Miller, E; Nolen, J; ... (10 authors) (Annals of Applied Probability, 2013-12-01)
      Given a probability distribution on an open book (a metric space obtained by gluing a disjoint union of copies of a half-space along their boundary hyperplanes), we define a precise concept of when the Fréchet mean (barycenter) ...