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VOL. 57 | 2010 The global geometry of stochastic Lœwner evolutions
Roland Friedrich

Editor(s) Motoko Kotani, Masanori Hino, Takashi Kumagai

Abstract

In this article we develop a concise description of the global geometry which is underlying the universal construction of all possible generalised Stochastic Lœwner Evolutions. The main ingredient is the Universal Grassmannian of Sato–Segal–Wilson. We illustrate the situation in the case of univalent functions defined on the unit disc and the classical Schramm–Lœwner stochastic differential equation. In particular we show how the Virasoro algebra acts on probability measures. This approach provides the natural connection with Conformal Field Theory and Integrable Systems.

Information

Published: 1 January 2010
First available in Project Euclid: 24 November 2018

zbMATH: 1198.82030
MathSciNet: MR2605412

Digital Object Identifier: 10.2969/aspm/05710079

Subjects:
Primary: 32C99, 60J99, 81T40, 82B99

Rights: Copyright © 2010 Mathematical Society of Japan

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