# Reversible Coalescing-Fragmentating Wasserstein Dynamics on the Real Line

@article{Konarovskyi2017ReversibleCW, title={Reversible Coalescing-Fragmentating Wasserstein Dynamics on the Real Line}, author={Vitalii Konarovskyi and Max von Renesse}, journal={arXiv: Probability}, year={2017} }

We introduce a family of reversible fragmentating-coagulating processes of particles of varying size-scaled diffusivity with strictly local interaction on the real line. The construction is based on a new family of measures on the set of real increasing functions as reference measures for naturally associated Dirichlet forms. The processes are infinite dimensional versions of sticky reflecting dynamics on a simplicial complex with positive boundary measure in all subcomplexes. Among other…

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