Geodesic
On number of particles in coalescing-fragmentating Wasserstein dynamics
Teoriâ slučajnyh processov, Tome 25 (2020) no. 2, pp. 74-80.

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We consider the system of sticky-reflected Brownian particles on the real line proposed in [4]. The model is a modification of the Howitt-Warren flow but now the diffusion rate of particles is inversely proportional to the mass which they transfer. It is known that the system consists of a finite number of distinct particles for almost all times. In this paper, we show that the system also admits an infinite number of distinct particles on a dense subset of the time interval if and only if the function responsible for the splitting of particles takes an infinite number of values.
Keywords: Sticky-reflected particle system, modified massive Arratia flow, infinite dimensional singular SDE. 
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Vitalii V. Konarovskyi. On number of particles in coalescing-fragmentating Wasserstein dynamics. Teoriâ slučajnyh processov, Tome 25 (2020) no. 2, pp. 74-80. http://geodesic.mathdoc.fr/item/THSP_2020_25_2_a6/

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