Martingales in manifolds. Definition, examples and behaviour under maps
R. W. R. Darling (1982)
Séminaire de probabilités de Strasbourg
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R. W. R. Darling (1982)
Séminaire de probabilités de Strasbourg
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Darling, R.W.R. (2002)
Electronic Journal of Probability [electronic only]
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Koléhè A. Coulibaly-Pasquier (2011)
Annales de l'I.H.P. Probabilités et statistiques
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We generalize brownian motion on a riemannian manifold to the case of a family of metrics which depends on time. Such questions are natural for equations like the heat equation with respect to time dependent laplacians (inhomogeneous diffusions). In this paper we are in particular interested in the Ricci flow which provides an intrinsic family of time dependent metrics. We give a notion of parallel transport along this brownian motion, and establish a generalization of the Dohrn–Guerra...
K. David Elworthy (1980-1981)
Séminaire Bourbaki
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Isaac Chavel, Edgar A. Feldman (1986)
Compositio Mathematica
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R.W.R. Darling (1996)
Annales de l'I.H.P. Probabilités et statistiques
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Kenneth David Elworthy, Marc Yor (1993)
Séminaire de probabilités de Strasbourg
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R. W. R. Darling (1985)
Annales de l'I.H.P. Probabilités et statistiques
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