@article{AIHPB_1999__35_6_765_0, author = {Arnaudon, Marc and Li, Xu-Mei and Thalmaier, Anton}, title = {Manifold-valued martingales, changes of probabilities, and smoothness of finely harmonic maps}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {35}, year = {1999}, pages = {765-791}, mrnumber = {1725710}, zbl = {0946.60030}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPB_1999__35_6_765_0} }
Arnaudon, Marc; Li, Xue-Mei; Thalmaier, Anton. Manifold-valued martingales, changes of probabilities, and smoothness of finely harmonic maps. Annales de l'I.H.P. Probabilités et statistiques, Tome 35 (1999) pp. 765-791. http://gdmltest.u-ga.fr/item/AIHPB_1999__35_6_765_0/
[1] Differentiable and analytic families of continuous martingales in manifolds with connection, Probab. Theory Related Fields 108 (1997) 219-257. | MR 1452557 | Zbl 0883.60043
,[2] Complete lifts of connections and stochastic Jacobi fields, J. Math. Pures Appl. 77 (1998) 283-315. | MR 1618537 | Zbl 0916.58045
and ,[3] Martingales on noncompact manifolds: maximal inequalities and prescribed limits, Annales de l'Institut Henri Poincaré 32 (4) (1996) 431-454. | Numdam | MR 1411268 | Zbl 0861.58050
,[4] Another report on harmonic maps, Bull. London Math. Soc. 20 (1988) 385-524. | MR 956352 | Zbl 0669.58009
and ,[5] Harmonic maps and the non-linear heat equation, Unpublished notes, Warwick, 1993.
,[6] A class of integration by parts formulae in stochastic analysis I, in: S. Watanabe, Ed., Itô's stochastic Calculus and Probability Theory (dedicated to K. Itô on the occasion of his eightieth birthday), Springer, 1996, 15-30. | MR 1439515 | Zbl 0881.60052
and ,[7] Stochastic Calculus in Manifolds, Springer, 1989. | MR 1030543 | Zbl 0697.60060
,[8] Probability, convexity, and harmonic maps with small image I: Uniqueness and fine existence, Proc. London Math. Soc. (3) 61 (1990) 371-406. | MR 1063050 | Zbl 0675.58042
,[9] Probability, convexity, and harmonic maps II: Smoothness via probabilistic gradient inequalities, J. Funct. Anal. 126 (1994) 228-257. | MR 1305069 | Zbl 0808.60058
,[10] Stochastic Flows and Stochastic Differential Equations, Cambridge University Press, 1990. | MR 1070361 | Zbl 0743.60052
,[11] Martingales on Riemannian manifolds with prescribed limits, J. Funct. Anal. 99 (1991) 223-261. | MR 1121614 | Zbl 0758.60051
,[12] Barycentres et martingales sur une variété, Annales de l'Institut Henri Poincaré 30 (1994) 647-702. | Numdam | MR 1302764 | Zbl 0817.58047
,[13] Continuous Martingales and Brownian Motion, 2nd ed., Springer, 1994. | MR 1303781 | Zbl 0804.60001
and ,[14] Gradient estimates for harmonic functions on regular domains in Riemannian manifolds, J. Funct. Anal. 155 (1998) 109-124. | MR 1622800 | Zbl 0914.58042
and ,[15] Tangent and Cotangent Bundles, Marcel Dekker, New York, 1973. | MR 350650 | Zbl 0262.53024
and ,