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• W2935218784 abstract "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 constant rate, a pair of particles is chosen uniformly at random and both particles adopt the position of the rightmost one among them. We show that the cumulative distribution function of the empirical measure converges to a solution of the Fisher-Kolmogorov-Petrovskii-Piskunov (F-KPP) equation and use this fact to prove that the system selects the minimal macroscopic speed as the number of particles goes to infinity." @default.
• W2935218784 created "2019-04-11" @default.
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• W2935218784 date "2019-03-29" @default.
• W2935218784 modified "2023-09-24" @default.
• W2935218784 title "F-KPP Scaling limit and selection principle for a Brunet-Derrida type particle system" @default.
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