Markov processes on the infinite-dimensional simplex – Sergei Korotkikh

Sergei Korotkikh
HSE, St Petersburg

Date(s) : 13/07/2018   iCal
11 h 00 min - 12 h 00 min

My talk is devoted to the family of markov processes on the infinite-dimensional simplex, initially constructed as the infinitely-many-neutral-allels diffusion model by Ethier and Kurth in 1981, and later generalised by Petrov, Borodin and Olshanski. These are Feller processes which are defined infinitesimally in terms of generators (operators acting on the space of functions on the simplex). I will describe several global properties which can be recovered form the infinitesimal definition and explain how these properties follow from the study of the generators.


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