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Finite-size corrections to the speed of a branching-selection process

Abstract : We consider a particle system studied by E. Brunet and B. Derrida, which evolves according to a branching mechanism with selection of the fittest keeping the population size fixed and equal to $N$. The particles remain grouped and move like a travelling front driven by a random noise with a deterministic speed. Because of its mean-field structure, the model can be further analysed as $N \to \infty$. We focus on the case where the noise lies in the max-domain of attraction of the Weibull extreme value distribution and show that under mild conditions the correction to the speed has universal features depending on the tail probabilities.
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Preprints, Working Papers, ...
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Contributor : Aser Cortines <>
Submitted on : Monday, June 29, 2015 - 3:19:44 PM
Last modification on : Friday, March 27, 2020 - 4:01:36 AM

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  • HAL Id : hal-01169500, version 1
  • ARXIV : 1505.04971


Francis Comets, Aser Cortines. Finite-size corrections to the speed of a branching-selection process. 2015. ⟨hal-01169500⟩



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