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References

  • Arnaudon, Marc; Thalmaier, Anton. Stability of stochastic differential equations in manifolds. Séminaire de Probabilités, XXXII, 188--214, Lecture Notes in Math., 1686, Springer, Berlin, 1998. MR1655151
  • Bakry, D.; Ledoux, M. Lévy-Gromov's isoperimetric inequality for an infinite-dimensional diffusion generator. Invent. Math. 123 (1996), no. 2, 259--281. MR1374200
  • Chavel, Isaac. Eigenvalues in Riemannian geometry. Including a chapter by Burton Randol. With an appendix by Jozef Dodziuk. Pure and Applied Mathematics, 115. Academic Press, Inc., Orlando, FL, 1984. xiv+362 pp. ISBN: 0-12-170640-0 MR0768584
  • Elworthy, K. D.; Yor, M. Conditional expectations for derivatives of certain stochastic flows. Séminaire de Probabilités, XXVII, 159--172, Lecture Notes in Math., 1557, Springer, Berlin, 1993. MR1308561
  • Li, Xue-Mei. Strong $p$-completeness of stochastic differential equations and the existence of smooth flows on noncompact manifolds. Probab. Theory Related Fields 100 (1994), no. 4, 485--511. MR1305784
  • Strichartz, Robert S. Harmonic analysis on constant curvature surfaces with point singularities. J. Funct. Anal. 91 (1990), no. 1, 37--116. MR1054114
  • Thalmaier, Anton. On the differentiation of heat semigroups and Poisson integrals. Stochastics Stochastics Rep. 61 (1997), no. 3-4, 297--321. MR1488139
  • Thalmaier, Anton; Wang, Feng-Yu. Gradient estimates for harmonic functions on regular domains in Riemannian manifolds. J. Funct. Anal. 155 (1998), no. 1, 109--124. MR1622800
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