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Published online: 2018-04-27
Stochastic Analysis: Geometry of Random ProcessesAlice Guionnet, Martin Hairer and Grégory Miermont (1) École Normale Supérieure de Lyon, France
(2) University of Warwick, Coventry, UK
(3) École Normale Supérieure de Lyon, France
A common feature shared by many natural objects arising in probability theory is that they tend to be very “rough”, as opposed to the “smooth” objects usually studied in other branches of mathematics. It is however still desirable to understand their geometric properties, be it from a metric, a topological, or a measure-theoretic perspective. In recent years, our understanding of such “random geometries” has seen spectacular advances on a number of fronts.
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Guionnet Alice, Hairer Martin, Miermont Grégory: Stochastic Analysis: Geometry of Random Processes. Oberwolfach Rep. 14 (2017), 1631-1679. doi: 10.4171/OWR/2017/26