ERC Workshop on Optimal Transportation and Applications
timetable:
Mon 27 Oct, 9:00 - 9:50, Aula Dini
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Stochastic origins of gradient flows:a general connection
speaker: Marc Peletier (Technische Universiteit Eindhoven)abstract:
Although it has been known for some time that certain gradient-flow structures are related to the large deviations of a stochastic process, until recently we only understood this at the level of examples. In this lecture I will explain a general structure that gives rise to the following property: for every sequence of reversible stochastic processes with a large-deviations principle, the limiting equation is a generalized gradient flow that maps one-to-one to the large-deviations rate function. Therefore the large class of reversible stochastic processes generates a correspondingly large class of generalized gradient flows. This is joint work with Michiel Renger and Alexander Mielke.
timetable:
Mon 27 Oct, 9:00 - 9:50, Aula Dini
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