Distance riemannienne,théorème de Rademacher et inégalité de transport sur le groupe des lacets |
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| Authors: | Shizan Fang Jinghai Shao |
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| Institution: | 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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| Abstract: | 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. To cite this article: S. Fang, J. Shao, C. R. Acad. Sci. Paris, Ser. I 341 (2005). |
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