Logarithmic sobolev inequalities on path spaces over riemannian manifolds

Communications in Mathematical Physics

Volumn 189, Issue 1, 1997, Pages 9-16

  Hsu, Elton P ^a  

^a NORTHWESTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031487270     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050188     Document Type: Article

References (10)

1. Aida, S. and Elworthy, K. D.: Differential Calculus on path and loop spaces, I. Logarthmic Sobolev inequalities on path spaces. C. R. Acad. Sci. (Paris), 321, Serié I, 97-102 (1995)
2. Bismut, J.-M.: Large Deviations and Malliavin Calculus. New York: Birkhäuser, 1984
3. Donnelly, H. and Li, P.: Lower bounds for the eigenvalues of Riemannian manifolds. Michigan Math. J. 29, 149-161 (1982)
4. Fang, S.: Un inéqualité du type Poincaré sur un espace de chemins. C. R. Acad. Sci. (Paris), 318, Serié I, 257-260 (1994)
5. Gross, L.: Logarithmic Sobolev inequalities. Am. J. of Math. 97, 1061-1083 (1975)
6. Gross, L.: Logarithmic Sobolev inequalities on Lie groups. III. J. Math. 36, 447-490 (1992)
7. Gross, L.: Lecture Notes in Mathematics, No. 1563. New York: Springer-Verlag, (1993), pp. 54-82
8. Hsu, E. P.: Inégalité de Sobolev logarithmiques sur un espace de chemins. C. R. Acad. Sci. (Paris), 320, Serié I, 1009-1012 (1995)
9. Stroock, D. W. and Zergalinski, B.: The equivalence of the logarithmic Sobolev inequality and the Dobrushin-Shlosman mixing condition. Commun. Math. Phys. 144, 303-323 (1992)
10. Stroock, D. W. and Zergalinski, B.: The logarithmic Sobolev inequality for discrete spin systems on a lattice. Commun. Math. Phys. 149, 175-193 (1992)