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On the behaviour of metrics $H_s$ on loop groups
Shizan Fang I.M.B., BP 47870, Université de Bourgogne, Dijon, France
Abstract:
The heat measures with respect to metric $H_s$ on loop groups were introduced by P. Malliavin; its behaviour as $s\downarrow 1/2$ of finite dimensional distributions was studied by Y. Inahama [J. Funct. Anal., 198 (2003), p. 311-340]. In this note, we shall transfer this problem to the long time behaviour of diffusion processes. We conclude the result by using a metric equivalent form for the lower bound of Ricci tensors.
Keywords:
Loop groups, heat measures, metric $H_s$, Ricci tensor, Wasserstein distance.
Citation:
Shizan Fang, “On the behaviour of metrics $H_s$ on loop groups”, Theory Stoch. Process., 16(32):1 (2010), 39–43
Linking options:
https://www.mathnet.ru/eng/thsp58 https://www.mathnet.ru/eng/thsp/v16/i1/p39
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Abstract page: | 102 | Full-text PDF : | 32 | References: | 23 |
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