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math.PRApr 17, 2013
8
citations (OpenAlex)
authors
  • Pablo Groisman
  • Matthieu Jonckheere
arXiv abstractPDF
paper

Front propagation and quasi-stationary distributions: the same selection principle?

arXiv:1304.4847

Abstract

We analyze the connection between selection principles in front propagation and quasi-stationary distributions. We describe the missing link through the microscopic models known as Branching Brownian Motion with selection and Fleming-Viot.

References in corpus (9)

  • Shift in the velocity of a front due to a cut-off
  • Effect of selection on ancestry: an exactly soluble case and its phenomenological generalization
  • The genealogy of branching Brownian motion with absorption
  • Configurational transition in a Fleming-Viot-type model and probabilistic interpretation of Laplacian eigenfunctions
  • Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations
  • Simulation of quasi-stationary distributions on countable spaces
  • Branching Brownian motion with selection of the N right-most particles: An approximate model
  • Branching Brownian motion with selection
  • Non-extinction of a Fleming-Viot particle model

Cited by in corpus (3)

  • Free boundary problems in PDEs and particle systems
  • Non local branching Brownians with annihilation and free boundary problems
  • A free boundary problem with non local interaction
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