• Corpus ID: 2252814

Reversible Coalescing-Fragmentating Wasserstein Dynamics on the Real Line

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