Entropy production of stationary diffusions on non-compact Riemannian manifolds
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.
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| Published in | Science China. Mathematics Vol. 40; no. 9; pp. 926 - 931 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Springer Nature B.V
01.09.1997
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1674-7283 1006-9283 1869-1862 1862-2763 |
| DOI | 10.1007/BF02878672 |
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| 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. |
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| AbstractList | 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. |
| Author | 龚光鲁 钱敏平 |
| AuthorAffiliation | Department of Applied Mathematics Tsinghua University Beijing 100084 China Department of Probability and Statistics Peking University Beijing 100871 China |
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| Cites_doi | 10.1007/BF00348757 10.1002/cpa.3160280203 10.1515/9780691219615 10.1007/978-3-642-61798-0 10.1090/conm/118/1137974 10.1143/PTP.57.1523 |
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| DocumentTitleAlternate | Entropy production of stationary diffusions on non-compact Riemannian manifolds |
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| Notes | GONG Guanglu(Department of Applied Mathematics,Tsinghua University,Beijing 100084,China)and QIAN Minping(Department of Probability and Statistics,Peking University,Beijing 100871,China) 11-5837/O1 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
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| References | Qian Minping (BF02878672_CR3) 1986 Wu Hongxi (BF02878672_CR9) 1989 H. Hasegawa (BF02878672_CR5) 1977; 57 Gong Guanglu (BF02878672_CR10) 1988; 80 E. Nelson (BF02878672_CR6) 1967 S. T. Yau (BF02878672_CR12) 1975; 28 Qian Minping (BF02878672_CR2) 1985; 30 K. D. Elworthy (BF02878672_CR8) 1988 Qian Minping (BF02878672_CR1) 1985; 1 BF02878672_CR4 BF02878672_CR7 D. Gilbarg (BF02878672_CR11) 1983 |
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| Snippet | The closed form of the entropy production of stationary diffusion processes with bounded Nelson’s current velocity is given.The limit of the entropy... The closed form of the entropy production of stationary diffusion processes with bounded Nelson’s current velocity is given. The limit of the entropy... |
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| SubjectTerms | diffusion entropy invariant measure process production Riemann manifold |
| Title | Entropy production of stationary diffusions on non-compact Riemannian manifolds |
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