On Number of Particles in Coalescing-Fragmentating Wasserstein Dynamics
Probability
2021-04-30 v2
Abstract
We consider the system of sticky-reflected Brownian particles on the real line proposed in [arXiv:1711.03011]. 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
Cite
@article{arxiv.2102.10943,
title = {On Number of Particles in Coalescing-Fragmentating Wasserstein Dynamics},
author = {Vitalii Konarovskyi},
journal= {arXiv preprint arXiv:2102.10943},
year = {2021}
}