K. David Elworthy

K. David Elworthy's AcademicInfluence.com Rankings

K. David Elworthy

Mathematics

#2383

World Rank

#3703

Historical Rank

Measure Theory

#2989

World Rank

#3549

Historical Rank

mathematics Degrees

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Mathematics

Why Is K. David Elworthy Influential?

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According to Wikipedia, Kenneth David Elworthy is a Professor Emeritus of Mathematics at the University of Warwick. He works on stochastic analysis, stochastic differential equations and geometric analysis. Life and career Elworthy was born on 21 December 1940. He was educated at Bristol Grammar School, and in 1959 went up to Merton College, Oxford to read Mathematics as an undergraduate. In 1964 he married Susan Margaret Anderson. His DPhil was completed in 1967 under the supervision of Michael Francis Atiyah at the University of Oxford. Before his retirement from Warwick, he held a personal chair there. He also serves on the advisory board of the Center for Integrative Mathematical Sciences at Keio University in Tokyo, Japan.

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K. David Elworthy's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

RANDOM DYNAMICAL SYSTEMS (Springer Monographs in Mathematics) (2000) (348)
Stochastic Differential Equations on Manifolds (1982) (341)
Formulae for the Derivatives of Heat Semigroups (1994) (322)
ERGODICITY FOR INFINITE DIMENSIONAL SYSTEMS (London Mathematical Society Lecture Note Series 229) By G. Da Prato and J. Zabczyk: 339 pp., £29.95, LMS Members' price £22.47, ISBN 0 521 57900 7 (Cambridge University Press, 1996). (1997) (301)
Regularity (2001) (233)
On the Geometry of Diffusion Operators and Stochastic Flows (2000) (124)
The importance of strictly local martingales; applications to radial Ornstein–Uhlenbeck processes (1999) (91)
Stochastic Flows on Riemannian Manifolds (1992) (74)
Flows of stochastic dynamical systems: The functional analytic approach (1983) (68)
FUNCTIONAL INTEGRATION AND PARTIAL DIFFERENTIAL EQUATIONS (Annals of Mathematics Studies, 109) (1986) (63)
Asymptotic Problems in Probability Theory: Stochastic Models and Diffusions on Fractals (1995) (63)
Strong feller property for stochastic semilinear equations (1995) (62)
Open Embeddings of Certain Banach Manifolds (1970) (62)
Conditional expectations for derivatives of certain stochastic flows (1993) (50)
The Geometry of Filtering (2008) (50)
On the tails of the supremum and the quadratic variation of strictly local martingales (1997) (46)
A class of integration by parts formulae in stochastic analysis I (2019) (43)
LARGE DEVIATIONS AND THE MALLIAVIN CALCULUS (Progress in Mathematics, 45) (1985) (42)
Generalized Ito formulae and space-time Lebesgue-Stieltjes integrals of local times (2005) (41)
The diffusion equation and classical mechanics: An elementary formula (1982) (41)
Approximate travelling waves for generalized KPP equations and classical mechanics (1994) (37)
Generalized bochner theorems and the spectrum of complete manifolds (1988) (35)
Manifolds with wells of negative curvature (1991) (30)
Concerning the geometry of stochastic differential equations and stochastic flows (2019) (29)
A stochastic scheme for constructing solutions of the Schrödinger equations (1980) (27)
The propagation of travelling waves for stochastic generalized KPP equations (1994) (27)
Bisimut type formulae for differential forms (1998) (25)
From local times to global geometry, control and physics : emanations from the Warwick Symposium on Stochastic Differential Equations and Applications, 1984/85 (1986) (25)
Homotopy and homology vanishing theorems and the stability of stochastic flows (1995) (23)
Integration by parts formulae for degenerate diffusion measures on path spaces and diffeomorphism groups (2019) (22)
Characteristic exponents for stochastic flows (1986) (22)
A stepping stone to stochastic analysis (1981) (21)
Vector fields on mapping spaces and related Dirichlet forms and diffusions (1997) (21)
The Witten Laplacian on Negatively Curved Simply Connected Manifolds (1993) (20)
Itô maps and analysis on path spaces (2006) (19)
Lyapunov exponents for a stochastic analogue of the geodesic flow (1986) (16)
Embeddings, isotopy and stability of Banach manifolds (1970) (14)
Geometric stochastic analysis on path spaces (2019) (14)
Differential equations, dynamical systems, and control science : a festschrift in honor of Lawrence Markus (1994) (14)
An L-2 theory for differential forms on path spaces I (2006) (14)
Bounded and L2 harmonic forms on universal covers (1997) (12)
Stochastic flows and the C0-diffusion property (1982) (12)
Compact manifolds with a little negative curvature (1989) (11)
Fredholm maps and ${\text{GL}}_c \left(E \right)$-structures (1968) (11)
Manifolds and Graphs with Mostly Positive Curvatures (1991) (10)
Differential invariants of measures on Banach spaces (1978) (9)
Differentiation of heat semigroups and applications (2003) (9)
Wiener Integration on Certain Manifolds (2010) (9)
Equivariant Diffusions on Principal Bundles (2019) (9)
Some families of q-vector fields on path spaces (2003) (8)
Path Integration on Manifolds (1984) (7)
New Trends in Stochastic Analysis: Proceedings of a Taniguchi International Workshop (1997) (7)
Gross–Sobolev spaces on path manifolds: uniqueness and intertwining by Itô maps (2003) (6)
Generalised Weitzenböck Formulae for Differential Operators in Hörmander Form (2016) (5)
Special Itô maps and an $L^2$ Hodge theory for one forms on path spaces (2019) (5)
Admissible vector fields and related diffusions on infinite-dimensional manifolds (1997) (4)
The vanishing of L2 harmonic one-forms on based path spaces (2012) (4)
The Space of Stochastic Differential Equations (2007) (4)
Stochastic methods and differential geometry (1981) (4)
A cameron-martin formula for feynman integrals (The origin of the Maslov indices) (1982) (4)
Brownian motion and harmonic forms (1988) (3)
SÉMINAIRE DE PROBABILITIÉS XVI, 1980/81 SUPPLEMÉNT: GÉOMÉTRIE DIFFÉRENTIELLE STOCHASTIQUE (Lecture Notes in Mathematics, 921) (1984) (3)
Essential spectrum on Riemannian manifolds (2004) (3)
Stochastic differential geometry (1993) (3)
Geometric Aspects of Stochastic Analysis (2000) (2)
Asymptotic problems in probability theory : Wiener functionals and asymptotics : proceedings of the Taniguchi International Symposium, Sanda and Kyoto, 1990 (1993) (2)
Stochastic Differential Equations on Manifolds: DIFFUSIONS (1982) (2)
Infinite-dimensional degree theory and stochastic analysis (2010) (2)
The Geometry of Filtering (Preliminary Version) (2008) (2)
Stochastic flows and geometric analysis on path spaces (2010) (2)
Stochastic Differential Equations on Manifolds: THE CHANGE OF VARIABLE FORMULA (1982) (2)
Flows of Newtonian diffusions (1988) (2)
Derivative Ows of Stochastic Diierential Equations: Moment Exponents and Geometric Properties (2007) (2)
Stochastic Differential Geometry at Saint-Flour (2012) (2)
Nonlinear structures determined by measures on Banach spaces (1976) (1)
The infinitesimal generators and associated operators (1999) (1)
Intertwining and the Markov uniqueness problem on path spaces (2019) (1)
Differential Equations : Dynamical Systems, and Control Science: Lecture Notes in Pure and Applied Mathematics Series/152 (2017) (1)
SOME DIFFERENTIAL GEOMETRY USING THE FRAME BUNDLE (1982) (1)
Stochastic Differential Equations on Manifolds: REFERENCES (1982) (0)
Higher Order Derivatives of Heat Semigroups on Spheres and Riemannian Symmetric Spaces (2021) (0)
Stochastic analysis, path integration and dynamics : emanations from 'Summer stochastics' Warwick 1987 (1989) (0)
Stochastic Differential Equations on Manifolds: INTRODUCTION (1982) (0)
STOCHASTIC MODELING IN THE SCIENCES: STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS AND RANDOM MEDIA (2005) (0)
Stochastic Differential Equations on Manifolds: MANIFOLDS AND FIBRE BUNDLES (1982) (0)
Stochastic Differential Equations on Manifolds: KOLMOGOROV'S THEOREM, TOTOKI'S THEOREM, AND BROWNIAN MOTION (1982) (0)
Book reviews (1995) (0)
STOCHASTIC INTEGRAL EQUATIONS (1982) (0)
Aspects of Stochastic Global Analysis (2007) (0)
P R ] 3 M ay 2 00 6 It ô maps and analysis on path spaces (2006) (0)
Stochastic analysis and applications : proceedings of the fifth Gregynog symposium : Gregynog, Powys, UK, 9-14 July 1995 (1996) (0)
Projectible Diffusion Processes and Markovian Filtering (2010) (0)
PR ] 2 1 N ov 2 01 9 A class of integration by parts formulae in stochastic analysis (2019) (0)
Construction of connections (1999) (0)
Stochastic Differential Equations on Manifolds: SOME MEASURE THEORETIC TECHNICALITIES (1982) (0)
Example: Riemannian Submersions and Symmetric Spaces (2010) (0)
Decomposition of Diffusion Operators (2010) (0)
MARTINGALES ON RIEMANNIAN MANIFOLDS AND THE NONLINEAR HEAT (2013) (0)
Stochastic Differential Equations on Manifolds: SPECIAL CASES (1982) (0)
Infinite-Dimensional Degree Theory and Ramer’S Finite Co-Dimensional Differential Forms (2021) (0)
Example: Stochastic Flows (2010) (0)
Hodge de Rham decomposition for an L 2 space of differfential 2-forms on path spaces (2003) (0)
Filtering with non-Markovian Observations (2010) (0)
Decomposition of noise and filtering (1999) (0)
Excision and direct closure of burns - A proposed wound follow-up protocol. (2019) (0)
Preface for Saint Flour collections (2012) (0)
Stability of stochastic dynamical systems (1999) (0)
Some family of q-vector fields on path spaces (2019) (0)
Stochastic Differential Equations on Manifolds: THE INTEGRAL: ESTIMATES AND EXISTENCE (1982) (0)
Application: Analysis on spaces of paths (1999) (0)
PR ] 2 1 N ov 2 01 9 Bismut type formulae for differential forms (2019) (0)
Stochastic Differential Equations on Manifolds: REGULARITY (1982) (0)
Stochastic Differential Equations on Manifolds: PREFACE (1982) (0)
The Commutation Property (2010) (0)
Stochastic Differential Equations on Manifolds: PRELIMINARIES AND NOTATION (1982) (0)
Asymptotic Problems in Probability Theory: Wiener Functionals and Fractionals. (1995) (0)
Stochastic Analysis and Applications: Proceedings of the Fifth Gregynog Symposium (1996) (0)
Title Vector fields on mapping spaces and relatedDirichlet forms and diffusions (0)

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