Reversible Coalescing-Fragmentating Wasserstein Dynamics on the Real Line

  • Vitalii Konarovskyi (Universität Leipzig)
E1 05 (Leibniz-Saal)


The talk is devoted to a model of interacting diffusion particles on the real line. We propose a family of reversible fragmentating-coagulating processes of particles of varying size-scaled diffusivity with strictly local interaction. 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 simplex. We also identify the intrinsic metric leading to a Varadhan formula for the short time asymptotics with the Wasserstein metric for the associated measure valued diffusion. Joint work with Max von Renesse.

Katja Heid

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Benjamin Gess

Max-Planck-Institut für Mathematik in den Naturwissenschaften