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ARTICLE IN PRESS CRASS1:3846 Please cite this article in press as: M. Arnaudon et al., Brownian motion with respect to a metric depending on time; definition, existence and
 

Summary: ARTICLE IN PRESS CRASS1:3846
Please cite this article in press as: M. Arnaudon et al., Brownian motion with respect to a metric depending on time; definition, existence and
applications to Ricci flow, C. R. Acad. Sci. Paris, Ser. I (2008), doi:10.1016/j.crma.2008.05.004
JID:CRASS1 AID:3846 /FLA [m3SC+; v 1.94; Prn:18/06/2008; 14:10] P.1 (1-6)
C. R. Acad. Sci. Paris, Ser. I ··· (····) ···­···
http://france.elsevier.com/direct/CRASS1/
Probability Theory
Brownian motion with respect to a metric depending on time;
definition, existence and applications to Ricci flow
Marc Arnaudon a
, Kolehe Abdoulaye Coulibaly a
, Anton Thalmaier b
a Laboratoire de Mathématiques et Applications (UMR6086), Université de Poitiers, Téléport 2, BP 30179,
86962 Futuroscope Chasseneuil cedex, France
b Unité de recherche en mathématiques, Université du Luxembourg, 162A, avenue de la Faïencerie, L-1511 Luxembourg,
Grand-Duché de Luxembourg
Received 29 April 2008; accepted 6 May 2008
Presented by Paul Malliavin
Abstract
Given an n-dimensional compact manifold M, endowed with a family of Riemannian metrics g(t), a Brownian motion depending

  

Source: Arnaudon, Marc - Département de mathématiques, Université de Poitiers
Coulibaly-Pasquier, Koléhè Abdoulaye - Institut de Mathématiques Élie Cartan, Université Henri Poincaré - Nancy 1

 

Collections: Mathematics