The entropy production and circulation of diffusion processes on manifolds

Chinese Science Bulletin

Volumn 42, Issue 12, 1997, Pages 982-985

  Guo, Maozheng ^a   Qian, Min ^a   Wang, Zhengdong ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

Brownian motion; Circulation; Diffusion; Entropy production; Rotation number

Indexed keywords

EID: 0004466189     PISSN: 10016538     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02882612     Document Type: Article

References (9)

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2. Qian Minping, Qian Min, The entropy production and irreversibility of Markov processes, in Proc. 1st World Congr. Bernoulli Soc., 1988, 307-316.
3. Qian Minping, Qian Min, Gong Guanglu, The reversibility and the entropy production of Markov processes, in Probability Theory and Its Applications in China (eds. Yang, S. J., Yang, C. C., Wang, J. G.) (in Chinese); Contemporary Math., 118; AMS, 1991, 255-263.
4. Qian Minping, Qian Min, Gong Guanglu, The reversibility and the entropy production of Markov processes, in Probability Theory and Its Applications in China (eds. Yang, S. J., Yang, C. C., Wang, J. G.) (in Chinese); Contemporary Math., 118; AMS, 1991, 255-263.
5. Wu Hongxi, Elements of Riemannian Geometry (in Chinese), Beijing: Peking University Press, 1988.
6. Manabe, S., Stochastic intersection number and homological behaviour of diffusion processes on manifolds, Osaka Jour. Math., 1982, 19: 429.
7. Arnold, V. I., Avez, A., Ergodic Problems of Classical Mechanics, New York: W. A. Benjamin, Inc., 1968.
8. Elworthy, K. D., Geometric aspects of diffusions on manifolds, in École d'Été de Probabilités de Saint-Flour XV- XVII, Proceedings (1985-87), Lect. Notes. Math., Vol. 1362 (eds. Hennequin, P. L.), Berlin, Heidelberg, New York: Springer-Verlag, 1988, 277-425.
9. Wang Zhengdong, Guo Maozheng, Qian Min, Diffusion processes on principal bundles and differential operators on the associated bundles, Science in China, Ser. A, 1992, 35: 385.