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Entropy production of stationary diffusions on non-compact Riemannian manifolds
Authors:Guanglu Gong  Minping Qian
Institution:(1) Department of Applied Mathematics, Tsinghua University, 100084 Beijing, China;(2) Department of Probability and Statistics, Peking University, 100871 Beijing, China
Abstract:The closed form of the entropy production of stationary diffusion processes with bounded Nelson’s current velocity is given. The limit of the entropy productions of a sequence of reflecting diffusions is also discussed. Project supported by Doctoral Programm Foundation of Institution of Higher Education, the National Natural Science Foundation of China and 863 Programm.
Keywords:entropy production  diffusion process  invariant measure
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