Transportation cost inequalities for Wasserstein diffusions |
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| Authors: | Jinghai Shao |
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| Affiliation: | School of Mathematical Sciences, Beijing Normal University, 100875, Beijing, China |
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| Abstract: | In this work we establish some types of transportation cost inequalities for two kinds of probability measure-valued processes: Wasserstein diffusions and Fleming–Viot processes. Besides, we prove that the Fleming–Viot processes generally don?t satisfy the super Poincaré inequalities. |
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| Keywords: | MSC: 60J68 60J35 28A33 58J65 47D07 |
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