Elworthy, K. David Higher order derivatives of heat semigroups on spheres and Riemannian symmetric spaces. (English) Zbl 1499.58025 Ugolini, Stefania (ed.) et al., Geometry and invariance in stochastic dynamics. Selected papers based on the presentations at the the conference on random transformations and invariance in stochastic dynamics, Verona, Italy, March 25–29, 2019. Cham: Springer. Springer Proc. Math. Stat. 378, 113-136 (2021). MSC: 58J65 58J70 60H30 60J60 43A85 PDFBibTeX XMLCite \textit{K. D. Elworthy}, Springer Proc. Math. Stat. 378, 113--136 (2021; Zbl 1499.58025) Full Text: DOI
Elworthy, K. D. Generalised Weitzenböck formulae for differential operators in Hörmander form. (English) Zbl 1405.58016 Eberle, Andreas (ed.) et al., Stochastic partial differential equations and related fields. In honor of Michael Röckner, SPDERF, Bielefeld, Germany, October 10–14, 2016. Cham: Springer (ISBN 978-3-319-74928-0/hbk; 978-3-319-74929-7/ebook). Springer Proceedings in Mathematics & Statistics 229, 319-331 (2018). MSC: 58J65 60G35 60H30 60J60 93E11 53C17 PDFBibTeX XMLCite \textit{K. D. Elworthy}, Springer Proc. Math. Stat. 229, 319--331 (2018; Zbl 1405.58016) Full Text: DOI
Elworthy, K. David Geometric aspects of diffusions on manifolds. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1097 (1984), 1362 (1988), 1427 (1990) and 1738 (2004). (English) Zbl 1319.58025 Ancona, Alano et al., Stochastic differential geometry at Saint-Flour. Berlin: Springer (ISBN 978-3-642-34170-0/pbk). Probability at Saint-Flour, 113-261 (2013). MSC: 58J65 PDFBibTeX XMLCite \textit{K. D. Elworthy}, in: Stochastic differential geometry at Saint-Flour. Berlin: Springer. 113--261 (2013; Zbl 1319.58025)
Elworthy, K. D.; Yang, Yuxin The vanishing of \(L^2\) harmonic one-forms on based path spaces. (English) Zbl 1264.58001 J. Funct. Anal. 264, No. 5, 1168-1196 (2013). MSC: 58A10 46T05 58J65 PDFBibTeX XMLCite \textit{K. D. Elworthy} and \textit{Y. Yang}, J. Funct. Anal. 264, No. 5, 1168--1196 (2013; Zbl 1264.58001) Full Text: DOI arXiv
Al-Hussein, A.; Elworthy, K. D. Infinite-dimensional degree theory and stochastic analysis. (English) Zbl 1205.58019 J. Fixed Point Theory Appl. 7, No. 1, 33-65 (2010). MSC: 58J65 28C20 58C30 47H11 60H07 58D20 PDFBibTeX XMLCite \textit{A. Al-Hussein} and \textit{K. D. Elworthy}, J. Fixed Point Theory Appl. 7, No. 1, 33--65 (2010; Zbl 1205.58019) Full Text: DOI
Elworthy, K. David Stochastic flows and geometric analysis on path spaces. (English) Zbl 1210.58029 Kotani, Motoko (ed.) et al., Probabilistic approach to geometry. Proceedings of the 1st international conference, Kyoto, Japan, 28th July – 8th August, 2008. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-931469-58-7/hbk). Advanced Studies in Pure Mathematics 57, 61-78 (2010). Reviewer: Maria Gordina (Storrs) MSC: 58J65 58A14 58D20 58D15 58B10 60H07 60H10 53C17 PDFBibTeX XMLCite \textit{K. D. Elworthy}, Adv. Stud. Pure Math. 57, 61--78 (2010; Zbl 1210.58029)
Elworthy, K. David; Le Jan, Yves; Li, Xue-Mei The geometry of filtering. (English) Zbl 1219.58017 Frontiers in Mathematics. Basel: Birkhäuser (ISBN 978-3-0346-0175-7/pbk; 978-3-0346-0176-4/ebook). xi, 169 p. (2010). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 58J65 58-02 60-02 53-02 60H10 60J60 53C21 53C17 PDFBibTeX XMLCite \textit{K. D. Elworthy} et al., The geometry of filtering. Basel: Birkhäuser (2010; Zbl 1219.58017) Full Text: DOI arXiv
Elworthy, K. D.; Li, Xue-Mei An \(L^{2}\) theory for differential forms on path spaces. I. (English) Zbl 1141.58020 J. Funct. Anal. 254, No. 1, 196-245 (2008). Reviewer: Raouf Ghomrasni (Johannesburg) MSC: 58J65 60H07 58A14 PDFBibTeX XMLCite \textit{K. D. Elworthy} and \textit{X.-M. Li}, J. Funct. Anal. 254, No. 1, 196--245 (2008; Zbl 1141.58020) Full Text: DOI arXiv
Elworthy, K. D.; Li, Xue-Mei Itô maps and analysis on path spaces. (English) Zbl 1181.60078 Math. Z. 257, No. 3, 643-706 (2007). MSC: 60H07 58J65 PDFBibTeX XMLCite \textit{K. D. Elworthy} and \textit{X.-M. Li}, Math. Z. 257, No. 3, 643--706 (2007; Zbl 1181.60078) Full Text: DOI arXiv
Elworthy, K. D. Aspects of stochastic global analysis. (English) Zbl 1118.58018 Maeda, Yoshiaki (ed.) et al., From geometry to quantum mechanics. In honor of Hideki Omori. Basel: Birkhäuser (ISBN 978-0-8176-4512-0/hbk; 978-0-8176-4530-4/e-book). Progress in Mathematics 252, 3-24 (2007). MSC: 58J65 58B20 53C17 53C05 53C21 58D20 58D05 58A14 60H07 60H10 58B15 PDFBibTeX XMLCite \textit{K. D. Elworthy}, Prog. Math. 252, 3--24 (2007; Zbl 1118.58018)
Elworthy, K. David; Li, Xue-Mei Geometric stochastic analysis on path spaces. (English) Zbl 1100.58014 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 575-594 (2006). MSC: 58J65 58B10 58A14 60H07 60H10 53C17 58D20 58B15 PDFBibTeX XMLCite \textit{K. Elworthy} and \textit{X.-M. Li}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS). 575--594 (2006; Zbl 1100.58014) Full Text: arXiv
Elworthy, K. David; le Jan, Yves; Li, Xue-Mei Equivariant diffusions on principal bundles. (English) Zbl 1071.58030 Kunita, Hiroshi (ed.) et al., Stochastic analysis and related topics in Kyoto. In honour of Kiyoshi Itô. Lectures given at the conference, Kyoto, Japan, September 4–7, 2002. Tokyo: Mathematical Society of Japan (ISBN 4-931469-26-4/hbk). Advanced Studies in Pure Mathematics 41, 31-47 (2004). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 58J65 60J60 PDFBibTeX XMLCite \textit{K. D. Elworthy} et al., Adv. Stud. Pure Math. 41, 31--47 (2004; Zbl 1071.58030) Full Text: arXiv
Elworthy, K. D.; Li, Xue-Mei Some families of \(q\)-vector fields on path spaces. (English) Zbl 1073.58012 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 6, Suppl., 1-27 (2003). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 58D15 58J65 58J35 60H05 60H10 PDFBibTeX XMLCite \textit{K. D. Elworthy} and \textit{X.-M. Li}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 6, 1--27 (2003; Zbl 1073.58012) Full Text: DOI arXiv
Elworthy, K. David; Li, Xue-Mei Gross-Sobolev spaces on path manifolds: uniqueness and intertwining by Itô maps. (English) Zbl 1037.58023 C. R., Math., Acad. Sci. Paris 337, No. 11, 741-744 (2003). MSC: 58J65 60H07 60H10 PDFBibTeX XMLCite \textit{K. D. Elworthy} and \textit{X.-M. Li}, C. R., Math., Acad. Sci. Paris 337, No. 11, 741--744 (2003; Zbl 1037.58023) Full Text: DOI
Brzeźniak, Zdisław; Elworthy, K. D. Stochastic differential equations on Banach manifolds. (English) Zbl 0965.58028 Methods Funct. Anal. Topol. 6, No. 1, 43-84 (2000). Reviewer: A.N.Kochubei (Kyïv) MSC: 58J65 58D20 58D15 46E35 46E50 35R15 60H10 PDFBibTeX XMLCite \textit{Z. Brzeźniak} and \textit{K. D. Elworthy}, Methods Funct. Anal. Topol. 6, No. 1, 43--84 (2000; Zbl 0965.58028)
Elworthy, K. D.; Li, Xue-Mei Special Itô maps and an \(L^2\) Hodge theory. (English) Zbl 0973.58019 Gesztesy, Fritz (ed.) et al., Stochastic processes, physics and geometry: New interplays. I. A volume in honor of Sergio Albeverio. Proceedings of the conference on infinite dimensional (stochastic) analysis and quantum physics, Leipzig, Germany, January 18-22, 1999. Providence, RI: American Mathematical Society (AMS). CMS Conf. Proc. 28, 145-162 (2000). Reviewer: Yuri E.Gliklikh (Voronezh) MSC: 58J65 58D20 60H10 60H07 26E15 58B20 PDFBibTeX XMLCite \textit{K. D. Elworthy} and \textit{X.-M. Li}, CMS Conf. Proc. 28, 145--162 (2000; Zbl 0973.58019)
Elworthy, K. David Geometric aspects of stochastic analysis. (English) Zbl 1026.60513 Pier, Jean-Paul (ed.), Development of mathematics 1950-2000. Basel: Birkhäuser. 437-484 (2000). MSC: 60J60 01A60 58J65 PDFBibTeX XMLCite \textit{K. D. Elworthy}, in: Development of mathematics 1950--2000. Basel: Birk\-häu\-ser. 437--484 (2000; Zbl 1026.60513)
Elworthy, K. D.; Le Jan, Y.; Li, Xue-Mei On the geometry of diffusion operators and stochastic flows. (English) Zbl 0942.58004 Lecture Notes in Mathematics. 1720. Berlin: Springer. 118 p. (1999). Reviewer: Mihai Gradinaru (Nancy) MSC: 58-02 58J65 53B05 60H10 60H07 58B20 93E15 PDFBibTeX XMLCite \textit{K. D. Elworthy} et al., On the geometry of diffusion operators and stochastic flows. Berlin: Springer (1999; Zbl 0942.58004) Full Text: DOI
Elworthy, K. D.; Li, Xue-Mei; Yor, M. The importance of strictly local martingales; applications to radial Ornstein-Uhlenbeck processes. (English) Zbl 0960.60046 Probab. Theory Relat. Fields 115, No. 3, 325-355 (1999). Reviewer: Esko Valkeila (Helsinki) MSC: 60G44 60J60 60H15 PDFBibTeX XMLCite \textit{K. D. Elworthy} et al., Probab. Theory Relat. Fields 115, No. 3, 325--355 (1999; Zbl 0960.60046) Full Text: DOI
Elworthy, K. David; Li, Xue-Mei Bismut type formulae for differential forms. (English. Abridged French version) Zbl 1008.58026 C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 1, 87-92 (1998). MSC: 58J65 PDFBibTeX XMLCite \textit{K. D. Elworthy} and \textit{X.-M. Li}, C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 1, 87--92 (1998; Zbl 1008.58026) Full Text: DOI arXiv
Elworthy, K. D. Stochastic differential equations on manifolds. (English) Zbl 1004.58511 Accardi, L. (ed.) et al., Probability towards 2000. Symposium, Columbia Univ., New York, NY, USA, October 2-6, 1995. New York, NY: Springer. Lect. Notes Stat. 128, 165-178 (1998). MSC: 58J65 PDFBibTeX XMLCite \textit{K. D. Elworthy}, Lect. Notes Stat. 128, 165--178 (1998; Zbl 1004.58511)
Elworthy, K. D.; Li, X.-M.; Rosenberg, S. Bounded and \(L^2\) harmonic forms on universal covers. (English) Zbl 0898.53028 Geom. Funct. Anal. 8, No. 2, 283-303 (1998). Reviewer: U.Hamenstädt (Bonn) MSC: 53C20 58J65 60J65 PDFBibTeX XMLCite \textit{K. D. Elworthy} et al., Geom. Funct. Anal. 8, No. 2, 283--303 (1998; Zbl 0898.53028) Full Text: DOI arXiv
Elworthy, K. D.; Ma, Zhi-Ming Admissible vector fields and related diffusions on infinite-dimensional manifolds. (English) Zbl 0941.58023 Ukr. Math. J. 49, No. 3, 451-465 (1997) and Ukr. Mat. Zh. 49, No. 3, 410-423 (1997). Reviewer: A.N.Kochubei (Kiev) MSC: 58J65 60J10 PDFBibTeX XMLCite \textit{K. D. Elworthy} and \textit{Z.-M. Ma}, Ukr. Mat. Zh. 49, No. 3, 410--423 (1997; Zbl 0941.58023) Full Text: DOI
Elworthy, K. D.; Zhao, H. Z. Approximate travelling waves for generalized and stochastic KPP equations. (English) Zbl 0868.60066 Ibragimov, I. A. (ed.) et al., Probability theory and mathematical statistics. Lectures presented at the semester held in St. Petersburg, Russia, March 2–April 23, 1993. Amsterdam: Gordon and Breach Publishers. 141-154 (1996). Reviewer: He Sheng Wu (Shanghai) MSC: 60J70 60J60 60H15 PDFBibTeX XMLCite \textit{K. D. Elworthy} and \textit{H. Z. Zhao}, in: Probability theory and mathematical statistics. Lectures presented at the semester held in St. Petersburg, Russia, March 2--April 23, 1993. Amsterdam: Gordon and Breach Publishers. 141--154 (1996; Zbl 0868.60066)
Elworthy, K. D.; Li, Xue-Mei A class of integration by parts formulae in stochastic analysis. I. (English) Zbl 0881.60052 Ikeda, N. (ed.) et al., Itô’s stochastic calculus and probability theory. Tribute dedicated to Kiyosi Itô on the occasion of his 80th birthday. Tokyo: Springer. 15-30 (1996). Reviewer: A.Alabert (Bellaterra) MSC: 60H05 58J65 60H10 PDFBibTeX XMLCite \textit{K. D. Elworthy} and \textit{X.-M. Li}, in: Itô's stochastic calculus and probability theory. Tribute dedicated to Kiyosi Itô on the occasion of his 80th birthday. Tokyo: Springer. 15--30 (1996; Zbl 0881.60052) Full Text: arXiv
Elworthy, K. David; Le Jan, Yves; Li, Xue-Mei Integration by parts formulae for degenerate diffusion measures on path spaces and diffeomorphism groups. (English. Abridged French version) Zbl 0865.60046 C. R. Acad. Sci., Paris, Sér. I 323, No. 8, 921-926 (1996). MSC: 60H10 58J65 PDFBibTeX XMLCite \textit{K. D. Elworthy} et al., C. R. Acad. Sci., Paris, Sér. I 323, No. 8, 921--926 (1996; Zbl 0865.60046) Full Text: arXiv
Elworthy, K. D.; Rosenberg, S. Homotopy and homology vanishing theorems and the stability of stochastic flows. (English) Zbl 0858.58053 Geom. Funct. Anal. 6, No. 1, 51-78 (1996). Reviewer: H.Crauel (Saarbrücken) MSC: 58J65 60H15 57N65 PDFBibTeX XMLCite \textit{K. D. Elworthy} and \textit{S. Rosenberg}, Geom. Funct. Anal. 6, No. 1, 51--78 (1996; Zbl 0858.58053) Full Text: DOI arXiv EuDML
Elworthy, K. D.; Li, X.-M. Derivative flows of stochastic differential equations: Moment exponents and geometric properties. (English) Zbl 0839.58061 Cranston, Michael C. (ed.) et al., Stochastic analysis. Proceedings of the Summer Research Institute on stochastic analysis, held at Cornell University, Ithaca, NY, USA, July 11-30, 1993. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 57, 565-574 (1995). Reviewer: S.Eloshvili (Tbilisi) MSC: 58J65 60H30 60H10 53C21 PDFBibTeX XMLCite \textit{K. D. Elworthy} and \textit{X. M. Li}, Proc. Symp. Pure Math. 57, 565--574 (1995; Zbl 0839.58061)
Da Prato, Giuseppe; Elworthy, K. D.; Zabczyk, Jerzy Strong Feller property for stochastic semilinear equations. (English) Zbl 0817.60081 Stochastic Anal. Appl. 13, No. 1, 35-45 (1995). Reviewer: G.Jumarie (Montreal) MSC: 60J35 47D07 60H99 PDFBibTeX XMLCite \textit{G. Da Prato} et al., Stochastic Anal. Appl. 13, No. 1, 35--45 (1995; Zbl 0817.60081) Full Text: DOI
Elworthy, K. D.; Li, X.-M. Formulae for the derivatives of heat semigroups. (English) Zbl 0813.60049 J. Funct. Anal. 125, No. 1, 252-286 (1994). Reviewer: M.Nisio (Osaka) MSC: 60H10 58J65 PDFBibTeX XMLCite \textit{K. D. Elworthy} and \textit{X. M. Li}, J. Funct. Anal. 125, No. 1, 252--286 (1994; Zbl 0813.60049) Full Text: DOI arXiv
Elworthy, K. D.; Li, X.-M.; Rosenberg, Steven Curvature and topology: Spectral positivity. (English) Zbl 0861.58051 Gliklikh, Yu. E. (ed.), Methods and applications of global analysis. Voronezh: Voronezh University Press. Nov. Global’nom Anal. 45-60 (1993). Reviewer: S.Eloshvili (Tbilisi) MSC: 58J65 PDFBibTeX XMLCite \textit{K. D. Elworthy} et al., in: Методы и приложения глобального анализа. Voronezh: Voronezh University Press. 45--60 (1993; Zbl 0861.58051)
Elworthy, K. D.; Yor, M. Conditional expectations for derivatives of certain stochastic flows. (English) Zbl 0795.60046 Azéma, J. (ed.) et al., Séminaire de probabilités XXVII. Berlin: Springer-Verlag. Lect. Notes Math. 1557, 159-172 (1993). Reviewer: M.Capinski (Kraków) MSC: 60H10 58J65 60H15 PDFBibTeX XMLCite \textit{K. D. Elworthy} and \textit{M. Yor}, Lect. Notes Math. 1557, 159--172 (1993; Zbl 0795.60046) Full Text: Numdam EuDML
Elworthy, K. D. Stochastic differential geometry. (English) Zbl 0777.60060 Bull. Sci. Math., II. Sér. 117, No. 1, 7-28 (1993). Reviewer: J.Picard (Aubière) MSC: 60H99 58J65 PDFBibTeX XMLCite \textit{K. D. Elworthy}, Bull. Sci. Math., II. Sér. 117, No. 1, 7--28 (1993; Zbl 0777.60060)
Elworthy, K. D. Stochastic flows on Riemannian manifolds. (English) Zbl 0758.58035 Diffusion processes and related problems in analysis, Vol. II: Stochastic flows, Proc. Conf. Charlotte/NC (USA) 1990, Prog. Probab. 27, 37-72 (1992). Reviewer: R.Darling MSC: 58J65 60H20 PDFBibTeX XMLCite \textit{K. D. Elworthy}, Prog. Probab. 27, 37--72 (1992; Zbl 0758.58035)
Elworthy, K. D. Manifolds and graphs with mostly positive curvatures. (English) Zbl 0755.58048 Stochastic analysis and applications, Proc. 1st Lisbon Conf., Lisbon/Port. 1989, Prog. Probab. 26, 96-110 (1991). Reviewer: M.Thompson (Porto Alegre) MSC: 58J50 58J65 53C21 PDFBibTeX XMLCite \textit{K. D. Elworthy}, Prog. Probab. 26, 96--110 (1991; Zbl 0755.58048)
Elworthy, K. D.; Rosenberg, Steven Generalized Bochner theorems and the spectrum of complete manifolds. (English) Zbl 0677.58046 Acta Appl. Math. 12, No. 1, 1-33 (1988). Reviewer: S.K.Chatterjea MSC: 58J65 60H15 58J35 PDFBibTeX XMLCite \textit{K. D. Elworthy} and \textit{S. Rosenberg}, Acta Appl. Math. 12, No. 1, 1--33 (1988; Zbl 0677.58046)
Elworthy, K. D. Brownian motion and the ends of a manifold. (English) Zbl 0656.53044 Geometry of random motion, Proc. AMS-IMS-SIAM Jt. Summer Res. Conf., Ithaca/NY 1987, Contemp. Math. 73, 55-64 (1988). Reviewer: P.B.Gilkey MSC: 53C20 58J65 58J50 PDFBibTeX XML
Chappell, M. J.; Elworthy, K. D. Flows of Newtonian diffusions. (English) Zbl 0646.60059 Stochastic mechanics and stochastic processes, Proc. Conf., Swansea/UK 1986, Lect. Notes Math. 1325, 61-75 (1988). Reviewer: K.U.Schaumlöffel MSC: 60H10 58J65 37A99 81P20 PDFBibTeX XML
Elworthy, K. D. Some geometric aspects of diffusions on manifolds. (English) Zbl 0683.58049 Probability theory and applications, Proc. World Congr. Bernoulli Soc., Tashkent/USSR 1986, Vol. 1, 501-513 (1987). Reviewer: P.Boxler MSC: 58J65 PDFBibTeX XML
Carverhill, A. P.; Chappell, M. J.; Elworthy, K. D. Characteristic exponents for stochastic flows. (English) Zbl 0651.60036 Stochastic processes - mathematics and physics, Proc. 1st BiBoS-Symp., Bielefeld/Ger. 1984, Lect. Notes Math. 1158, 52-80 (1986). MSC: 60F10 58J65 PDFBibTeX XML
Elworthy, K. D.; Kendall, W. S. Factorization of harmonic maps and Brownian motions. (English) Zbl 0615.60073 From local times to global geometry, control and physics, Emanations from Warwick Symp. Stochastic diff. equations appl., Coventry/Engl. 1984/85, Pitman Res. Notes Math. Ser. 150, 75-83 (1986). Reviewer: A.Ratto MSC: 60J65 58J65 58E20 60G46 PDFBibTeX XML
Elworthy, K. D.; Ndumu, M. N.; Truman, A. An elementary inequality for the heat kernel on a Riemannian manifold and the classical limit of the quantum partition function. (English) Zbl 0608.58044 From local times to global geometry, control and physics, Emanations from Warwick Symp. Stochastic diff. equations appl., Coventry/Engl. 1984/85, Pitman Res. Notes Math. Ser. 150, 84-99 (1986). Reviewer: A.Ratto MSC: 58J65 58J35 53C20 58D30 81S40 60J60 PDFBibTeX XML
Carverhill, A. P.; Elworthy, K. D. Lyapunov exponents for a stochastic analogue of the geodesic flow. (English) Zbl 0593.58048 Trans. Am. Math. Soc. 295, 85-105 (1986). Reviewer: S.Eloshvili MSC: 58J65 60H10 37D40 53D25 PDFBibTeX XMLCite \textit{A. P. Carverhill} and \textit{K. D. Elworthy}, Trans. Am. Math. Soc. 295, 85--105 (1986; Zbl 0593.58048) Full Text: DOI
Carverhill, A. P.; Elworthy, K. D. Flows of stochastic dynamical systems: The functional analytic approach. (English) Zbl 0525.60065 Z. Wahrscheinlichkeitstheor. Verw. Geb. 65, 245-267 (1983). MSC: 60H10 46E39 58J65 PDFBibTeX XMLCite \textit{A. P. Carverhill} and \textit{K. D. Elworthy}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 65, 245--267 (1983; Zbl 0525.60065) Full Text: DOI
Elworthy, K. D. Stochastic differential equations on manifolds. (English) Zbl 0514.58001 London Mathematical Society Lecture Note Series, 70. Cambridge etc.: Cambridge University Press. XVIII, 326 p. £15.00 (1982). MSC: 58-02 58J65 60Hxx 60J60 60J65 60-02 PDFBibTeX XML
Elworthy, K. D.; Truman, A. The diffusion equation and classical mechanics: An elementary formula. (English) Zbl 0511.60073 Stochastic processes in quantum theory and statistical physics, Proc. int. Workshop, Marseille 1981, Lect. Notes Phys. 173, 136-146 (1982). MSC: 60J70 58J65 82B05 PDFBibTeX XML
Elworthy, K. D. Stochastic flows and the \(C_ 0-\)diffusion property. (English) Zbl 0489.58037 Stochastics 6, 233-238 (1982). MSC: 58J65 60H10 60J60 34F05 34K99 PDFBibTeX XMLCite \textit{K. D. Elworthy}, Stochastics 6, 233--238 (1982; Zbl 0489.58037) Full Text: DOI
Elworthy, K. David Stochastic methods and differential geometry. (English) Zbl 0481.58028 Semin. Bourbaki, 33e annee, Vol. 1980/81, Lect. Notes Math. 901, 95-110 (1981). MSC: 58J65 60J65 58E20 35R60 60J60 81S40 58D30 PDFBibTeX XML Full Text: Numdam EuDML
De Witt-Morette, C.; Elworthy, K. D.; Nelson, B. L.; Sammelman, G. S. A stochastic scheme for constructing solutions of the Schrödinger equations. (English) Zbl 0446.60045 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 32, 327-341 (1980). MSC: 60H10 58D30 58J65 60H05 81S40 60J60 81-01 PDFBibTeX XMLCite \textit{C. De Witt-Morette} et al., Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 32, 327--341 (1980; Zbl 0446.60045) Full Text: Numdam EuDML
Elworthy, K. D. Stochastic dynamical systems and their flows. (English) Zbl 0439.60065 Stochastic analysis, Proc. int. Conf., Evanston/Ill. 1978, 79-95 (1978). MSC: 60H25 58J65 60B11 PDFBibTeX XML