no. 7
Probabilités
Distance riemannienne, théorème de Rademacher et inégalité de transport sur le groupe des lacets

Présenté par : Paul Malliavin

Fang, Shizan1 ; Shao, Jinghai1, 2
1 Institut de mathématiques de Bourgogne, B.P. 47870, 21078 Dijon, France
2 School of Mathematical Sciences, Beijing Normal University, Beijing 100875, Chine
Comptes Rendus. Mathématique, Tome 341 (2005) no. 7, pp. 445-450.

Dans cette Note, nous allons considérer la distance riemannienne sur le groupe des lacets, qui sera identifie à celle introduite par Hino et Ramirez [M. Hino, J.A. Ramirez, Small-time Gaussian behavior of symmetric diffusion semigroups, Ann. Probab. 31 (2003) 1254–1295]. Une inégalité de transport est établie.

In this Note, we shall consider the Riemannian distance on loop groups, which will be identified to one introduced by Hino and Ramirez [M. Hino, J.A. Ramirez, Small-time Gaussian behavior of symmetric diffusion semigroups, Ann. Probab. 31 (2003) 1254–1295]. A transportation cost inequality is established.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2005.08.004
Fang, Shizan 1 ; Shao, Jinghai 1, 2

1 Institut de mathématiques de Bourgogne, B.P. 47870, 21078 Dijon, France
2 School of Mathematical Sciences, Beijing Normal University, Beijing 100875, Chine 
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Fang, Shizan; Shao, Jinghai. Distance riemannienne, théorème de Rademacher et inégalité de transport sur le groupe des lacets. Comptes Rendus. Mathématique, Tome 341 (2005) no. 7, pp. 445-450. doi : 10.1016/j.crma.2005.08.004. http://archive.numdam.org/articles/10.1016/j.crma.2005.08.004/

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