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math.PR2019★ 4 cited
F-KPP Scaling limit and selection principle for a Brunet-Derrida type particle system
Pablo Groisman, Matthieu Jonckheere, Julián Martínez
We study a particle system with the following diffusion-branching-selection mechanism. Particles perform independent one dimensional Brownian motions and on top of that, at a const…
math.PR2012★ 18 cited
Variational description of Gibbs-non-Gibbs dynamical transitions for the Curie-Weiss model
Roberto Fernández, Frank den Hollander, Julián Martínez
We perform a detailed study of Gibbs-non-Gibbs transitions for the Curie-Weiss model subject to independent spin-flip dynamics ("infinite-temperature" dynamics). We show that, in t…