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References

  1. S. Aida, K. D. Elworthy, Differential calculus on path and loop spaces I. Logarithmic Sobolev inequalities on path spaces. C. R. Acad. Sci. Paris 321, (1995) 97-102. Math Review link
  2. D. Bakry, On Sobolev and logarithmic Sobolev inequalities for Markov semigroups, New Trends in Stochastic Analysis (edited by K. D. Elworthy, Shigeo Kusuoka, and Ichiro Shigekawa), World Scientific, 43-75 (1997). Math Review article not available.
  3. D. Bakry, M. Ledoux. Levy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator, Invent. Math. 123, (1996) 259-281. Math Review link
  4. M. Bismut, Large deviations and the Malliavin calculus, Birkhauser 1994. Math Review link
  5. B. Driver, A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold, J. Funct. Anal. 110, (1992) 272-376. Math Review link
  6. S. Fang, Inegalite du type de Poincare sur l'espace des chemins riemanniens, C. R. Acad. Sci. Paris, 318 (1994), 257-260. Math Review link
  7. S. Fang, Weitzenbock formula relative to a connection with torsion, Preprint (1996). Math Review article not available.
  8. L. Gross, Logarithmic Sobolev inequalities, Amer. J. Math. 97, (1975) 1061-1083. Math Review article not available.
  9. E. P. Hsu, Quasi-invariance of the Wiener measure on the path space over a compact Riemannian manifold, J. Funct. Anal. 134, (1995) 417-450. Math Review link
  10. E. P. Hsu, Inegalities de Sobolev logarithmiques sur un espace de chemins, C. R. Acad. Sci. Paris, 320 (1995) 1009-1012. Math Review link
  11. E. P. Hsu, Logarithmic Sobolev inequalities on path spaces over Riemannian manifolds, Commun. in Math. Phys. (to appear). Math Review article not available.
  12. E. P. Hsu, Analysis on Path and Loop Spaces (1996). To appear in IAS/Park City Mathematics Series, Vol. 5, edited by E. P. Hsu and S. R. S. Varadhan, American Mathematical Society and Institute for Advanced Study (1997). Math Review article not available.
  13. D. Nualart, The Malliavin calculus and related topics, Springer Verlag (1995). Math Review link
  14. F.-Y. Wang, Logarithmic Sobolev inequalities for diffusion processes with application to path space, Chinese J. Appl. Prob. Stat. 12:3, (1996) 255-264. Math Review article not available.
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