@incollection{SB_1980-1981__23__95_0,
author = {Elworthy, Kenneth David},
title = {Stochastic methods and differential geometry},
booktitle = {S\'eminaire Bourbaki : vol. 1980/81, expos\'es 561-578},
author = {Collectif},
series = {S\'eminaire Bourbaki},
note = {talk:567},
publisher = {Springer-Verlag},
number = {23},
year = {1981},
zbl = {0481.58028},
mrnumber = {647491},
language = {en},
url = {http://archive.numdam.org/item/SB_1980-1981__23__95_0/}
}
TY - CHAP AU - Elworthy, Kenneth David TI - Stochastic methods and differential geometry BT - Séminaire Bourbaki : vol. 1980/81, exposés 561-578 AU - Collectif T3 - Séminaire Bourbaki N1 - talk:567 PY - 1981 DA - 1981/// IS - 23 PB - Springer-Verlag UR - http://archive.numdam.org/item/SB_1980-1981__23__95_0/ UR - https://zbmath.org/?q=an%3A0481.58028 UR - https://www.ams.org/mathscinet-getitem?mr=647491 LA - en ID - SB_1980-1981__23__95_0 ER -
Elworthy, K. David. Stochastic methods and differential geometry, dans Séminaire Bourbaki : vol. 1980/81, exposés 561-578, Séminaire Bourbaki, no. 23 (1981), Exposé no. 567, 16 p. http://archive.numdam.org/item/SB_1980-1981__23__95_0/
[1] - Subordination de processus dans le fibré tangent et formes harmoniques, C.R. Acad. Sc. Paris, t. 282(14 juin 1976), Sér. A, 1311-1314. | MR 420740 | Zbl 0336.53029
[2] - Stochastic Differential Equations : Theory and Applications, Wiley-Interscience 1974. | MR 443083 | Zbl 0278.60039
[3] - Behaviour of diffusion semi-groups at infinity, Bull. Soc. Math. France 102(1974), 193-240. | Numdam | MR 356254 | Zbl 0293.60071
[4] - Manifolds all of whose geodesics are closed, Springer-Verlag 1978 (Ergebnisse der Mathematik, 93). | MR 496885 | Zbl 0387.53010
[5] and - Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems, V : lower bounds and path integrals, to appear in Comm. Math. Phys.. | MR 623152 | Zbl 0464.35085
[6] and - Differential equations on Riemannian manifolds and their geometric applications, Comm. Pur. Appl. Math. 28(1975), 333-354. | MR 385749 | Zbl 0312.53031
[7] , and - Théorèmes de comparaison en géométrie riemannienne, Publ. RIMS. Kyoto Univ. 12(1976), 391-425. | MR 431294 | Zbl 0382.31007
[8] - Maximum principle for parabolic inequalities and the heat flow on open manifolds, Preprint, Mathematics Institute, Oxford University. | MR 711862
[9] and - A report on harmonic maps, Bull. London Math. Soc. 10(1978), 1-68. | MR 495450 | Zbl 0401.58003
[10] and - Quantum mechanics and path integrals, McGraw-Hill 1965. | Zbl 0176.54902
[11] - Stochastic Differential Equations and Applications, Vols. 1, 2, Academic Press 1975. | MR 494490 | Zbl 0323.60056
[12] and (Eds.) - Stochastic Analysis, Academic Press 1978. | MR 517230 | Zbl 0436.00019
[13] - Curvature, geodesics and the Brownian motion on a Riemannian manifold, I and II, Preprint, Dept. of Applied Sciences, Faculty of Engineering, Kyushu University. | MR 676590
[14] and - A comparison theorem for solutions of stochastic differential equations and its applications, Osaka J. Math. 14(1977), 619-633. | MR 471082 | Zbl 0376.60065
[15] and - Stochastic differential equations and diffusion processes, Kodansha - John Wiley, to appear. | MR 637061 | Zbl 0684.60040
[16] (Ed.) - Proceedings of the International Symposium on Stochastic Differential Equations, John Wiley and Sons, 1979, Review by D. Williams - Bull. London Math. Soc. 12(1980), 141-146. | MR 535998
[17] and - Diffusion Processes and their Sample Paths, Springer-Verlag 1965. | MR 199891 | Zbl 0127.09503
[18] - Géométrie différentielle stochastique, Séminaire de Mathématiques Supérieures, Univ. de Montréal, 1978. | MR 540035 | Zbl 0393.60062
[19] - Stochastic Calculus and Stochastic Models, Academic Press 1974. | MR 443084 | Zbl 0292.60090
[20] - Un cours sur les intégrales stochastiques, Séminaire de probabilités X, Lecture Notes in Math., vol. 511, Springer-Verlag 1976, 245-400. | EuDML 113083 | Numdam | MR 501332 | Zbl 0374.60070
[21] - Comparaison des notions de variétés riemanniennes globalement harmoniques et fortement harmoniques, C. R. Acad. Sc. Paris, t 282(1976), Sér. A, 1007-1010. | MR 417986 | Zbl 0332.53030
[22] - Stochastic Riemannian geometry, in Probabilistic Analysis and related topics, vol. 1, A.T. Bharucha Reid (Ed.), Academic Press 1978. | MR 501385 | Zbl 0452.60083
[23] - Etude asymptotique et convergence angulaire du mouvement brownien sur une variété à courbure négative, C. R. Acad. Sc. Paris, t 280(1975), Sér. A, 1539-1542. | MR 388557 | Zbl 0309.60052
[24] - Semi-martingales sur les variétés et martingales conformes sur les variétés analytiques complexes, Lect. Notes in Math. 780, Springer-Verlag 1980. | MR 575167 | Zbl 0433.60047
[25] - Functional Integration and Quantum Physics, Academic Press 1979. | MR 544188 | Zbl 0434.28013
[26] - Théorèmes d'annulation et de finitude d'espaces de 1-formes harmoniques sur une variété de Riemann ouverte, Bull. Sc. Math. 103(1979), 129-177. | MR 533895 | Zbl 0419.35044
[27] (Ed.) - Stochastic Integrals : Proceedings of the L.M.S. Durham Symposium 1980, to appear in Lect. Notes in Math., Springer-Verlag. | MR 620983 | Zbl 0444.00014
[28] - Review of "Multidimensional diffusion processes" , by D.W. Stroock and S.R.S. Varadhan, Bull. A.M.S. 2(1980), 496-503.
[29] - An elementary method in the study of non-negative curvature, Acta Math. 142(1979), 57-78. | MR 512212 | Zbl 0403.53022
[30] - Harmonic functions on complete Riemannian manifolds, Comm. Pur. Appl. Math. 28(1975), 201-228. | MR 431040 | Zbl 0291.31002
[31] - On the heat kernel of a complete Riemannian manifold, J. Math. pures et appl. 57(1978), 191-201. | MR 505904 | Zbl 0405.35025
