Stochastic Analysis: Geometry of Random Processes

  • Alice Guionnet

    École Normale Supérieure de Lyon, France
  • Martin Hairer

    University of Warwick, Coventry, UK
  • Grégory Miermont

    École Normale Supérieure de Lyon, France

Abstract

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.

Cite this article

Alice Guionnet, Martin Hairer, Grégory Miermont, Stochastic Analysis: Geometry of Random Processes. Oberwolfach Rep. 14 (2017), no. 2, pp. 1631–1679

DOI 10.4171/OWR/2017/26