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Yet Another Condition for Absence of Collisions for Competing Brownian Particles
Tomoyuki Ichiba, Andrey Sarantsev · 2016-08-26 · via math.PR updates on arXiv.org

Consider a finite system of rank-based competing Brownian particles, where the drift and diffusion of each particle depend only on its current rank relative to other particles. We present a simple sufficient condition for absence of multiple collisions of a given order, continuing the earlier work by Bruggeman and Sarantsev (2015). Unlike in that paper, this new condition works even for infinite systems.

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