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math.PRApr 19, 2005
43
citations (OpenAlex)
authors
  • J. Englander
  • A. Winter
institutions
  • Friedrich-Alexander-Universität Erlangen-Nürnberg
  • University of California, Santa Barbara
arXiv abstractPDF
paper

Law of Large Numbers for a Class of Superdiffusions

arXiv:math/0504377 · doi:10.1016/j.anihpb.2005.03.004

Abstract

Under spectral conditions, we prove a LLN type result for superdiffusions, where the convergence is meant in probability. The main tool is a space-time H-transformation.

Cited by in corpus (8)

  • Limit theorems for Markov processes indexed by continuous time Galton--Watson trees
  • Branching diffusions, superdiffusions and random media
  • Quenched law of large numbers for branching Brownian motion in a random medium
  • A super Ornstein-Uhlenbeck process interacting with its center of mass
  • CLT for supercritical branching processes with heavy-tailed branching law
  • Strong law of large number of a class of super-diffusions
  • Stable Central Limit Theorems for Super Ornstein-Uhlenbeck Processes
  • Law of large numbers for supercritical superprocesses with non-local branching
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