Markov processes on the infinite-dimensional simplex
Sergei Korotkikh
HSE, St Petersburg
https://math.mit.edu/directory/profile.php?pid=2113
Date(s) : 13/07/2018 iCal
11h00 - 12h00
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. https://arxiv.org/abs/1806.07454
http://www.hse.ru/en/edu/vkr/219261769
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