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## Bell, Denis R.

Compute Distance To:
 Author ID: bell.denis-r Published as: Bell, Denis; Bell, Denis R.; Bell, D. Homepage: https://www.unf.edu/~dbell/ External Links: MGP
 Documents Indexed: 31 Publications since 1985, including 3 Books Reviewing Activity: 120 Reviews
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#### Co-Authors

 19 single-authored 7 Mohammed, Salah-Eldin A. 2 Nualart, David 1 Bolaños, Raul 1 Sen, Pali 1 Sen, Pranab Kumar 1 Stelljes, Scott
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#### Serials

 3 Journal of Functional Analysis 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics Magazine 1 The Mathematical Intelligencer 1 The Annals of Probability 1 Duke Mathematical Journal 1 Journal of Geometry 1 Transactions of the American Mathematical Society 1 Probability Theory and Related Fields 1 Elemente der Mathematik 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Stochastics and Stochastics Reports 1 Theory of Probability and Mathematical Statistics 1 Electronic Communications in Probability 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of the Australian Mathematical Society 1 The College Mathematics Journal 1 Journal of Theoretical Biology
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#### Fields

 20 Probability theory and stochastic processes (60-XX) 7 Partial differential equations (35-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Measure and integration (28-XX) 3 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Biology and other natural sciences (92-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

23 Publications have been cited 129 times in 106 Documents Cited by Year
The Malliavin calculus. Zbl 0678.60042
Bell, Denis R.
1987
An extension of Hörmander’s theorem for infinitely degenerate second-order operators. Zbl 0840.60053
Bell, Denis R.; Mohammed, Salah-Eldin A.
1995
The Malliavin calculus. Reprint of the 1987 edition. Zbl 1099.60041
Bell, Denis R.
2006
The Malliavin calculus and stochastic delay equations. Zbl 0738.60056
Bell, Denis R.; Mohammed, Salah-Eldin A.
1991
On the solution of stochastic ordinary differential equations via small delays. Zbl 0684.60047
Bell, Denis R.; Mohammed, Salah E. A.
1989
A quasi-invariance theorem for measures on Banach spaces. Zbl 0577.46045
Bell, Denis
1985
Smooth densities for degenerate stochastic delay equations with hereditary drift. Zbl 0852.60063
Bell, Denis R.; Mohammed, Salah-Eldin A.
1995
Divergence theorems in path space. Zbl 1070.58029
Bell, Denis
2005
The Gauss-Bonnet theorem for vector bundles. Zbl 1141.53016
Bell, Denis
2006
Arbitrage-free option pricing models. Zbl 1175.91173
Bell, Denis; Stelljes, Scott
2009
Degenerate stochastic differential equations and hypoellipticity. Zbl 0859.60051
Bell, Denis R.
1995
Divergence theorems in path space. II: Degenerate diffusions. Zbl 1098.58016
Bell, Denis
2006
Quasi-invariant measures on the path space of a diffusion. Zbl 1100.58013
Bell, Denis
2006
Stochastic differential equations and hypoelliptic operators. Zbl 1085.60036
Bell, Denis R.
2004
On the relationship between differentiability and absolute continuity of measures on $${\mathbb{R}}^ n$$. Zbl 0577.28001
Bell, Denis
1986
Divergence theorems in path space. III: Hypoelliptic diffusions and beyond. Zbl 1132.58020
Bell, Denis
2007
Hypoelliptic parabolic operators with exponential degeneracies. Zbl 0790.35016
Bell, Denis R.; Mohammed, Salah-Eldin A.
1993
On the limitations of a well-known integration technique. Zbl 0875.26009
Bell, Denis
1993
Noncentral limit theorem for the generalized Hermite process. Zbl 1386.60190
Bell, Denis; Nualart, David
2017
The Malliavin calculus and hypoelliptic differential operators. Zbl 1310.60069
Bell, Denis
2015
Degenerate stochastic differential equations, flows, and hypoellipticity. Zbl 0826.60044
Bell, Denis R.; Mohammed, Salah-Eldin A.
1995
On the equivalence of the properties of quasi-translation invariance and absolute continuity of measures on a locally compact abelian group. Zbl 0623.43001
Bell, Denis
1986
Associative binary operations and the Pythagorean theorem. Zbl 1221.39029
Bell, Denis
2011
Noncentral limit theorem for the generalized Hermite process. Zbl 1386.60190
Bell, Denis; Nualart, David
2017
The Malliavin calculus and hypoelliptic differential operators. Zbl 1310.60069
Bell, Denis
2015
Associative binary operations and the Pythagorean theorem. Zbl 1221.39029
Bell, Denis
2011
Arbitrage-free option pricing models. Zbl 1175.91173
Bell, Denis; Stelljes, Scott
2009
Divergence theorems in path space. III: Hypoelliptic diffusions and beyond. Zbl 1132.58020
Bell, Denis
2007
The Malliavin calculus. Reprint of the 1987 edition. Zbl 1099.60041
Bell, Denis R.
2006
The Gauss-Bonnet theorem for vector bundles. Zbl 1141.53016
Bell, Denis
2006
Divergence theorems in path space. II: Degenerate diffusions. Zbl 1098.58016
Bell, Denis
2006
Quasi-invariant measures on the path space of a diffusion. Zbl 1100.58013
Bell, Denis
2006
Divergence theorems in path space. Zbl 1070.58029
Bell, Denis
2005
Stochastic differential equations and hypoelliptic operators. Zbl 1085.60036
Bell, Denis R.
2004
An extension of Hörmander’s theorem for infinitely degenerate second-order operators. Zbl 0840.60053
Bell, Denis R.; Mohammed, Salah-Eldin A.
1995
Smooth densities for degenerate stochastic delay equations with hereditary drift. Zbl 0852.60063
Bell, Denis R.; Mohammed, Salah-Eldin A.
1995
Degenerate stochastic differential equations and hypoellipticity. Zbl 0859.60051
Bell, Denis R.
1995
Degenerate stochastic differential equations, flows, and hypoellipticity. Zbl 0826.60044
Bell, Denis R.; Mohammed, Salah-Eldin A.
1995
Hypoelliptic parabolic operators with exponential degeneracies. Zbl 0790.35016
Bell, Denis R.; Mohammed, Salah-Eldin A.
1993
On the limitations of a well-known integration technique. Zbl 0875.26009
Bell, Denis
1993
The Malliavin calculus and stochastic delay equations. Zbl 0738.60056
Bell, Denis R.; Mohammed, Salah-Eldin A.
1991
On the solution of stochastic ordinary differential equations via small delays. Zbl 0684.60047
Bell, Denis R.; Mohammed, Salah E. A.
1989
The Malliavin calculus. Zbl 0678.60042
Bell, Denis R.
1987
On the relationship between differentiability and absolute continuity of measures on $${\mathbb{R}}^ n$$. Zbl 0577.28001
Bell, Denis
1986
On the equivalence of the properties of quasi-translation invariance and absolute continuity of measures on a locally compact abelian group. Zbl 0623.43001
Bell, Denis
1986
A quasi-invariance theorem for measures on Banach spaces. Zbl 0577.46045
Bell, Denis
1985
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#### Cited by 161 Authors

 12 Bell, Denis R. 5 Mohammed, Salah-Eldin A. 5 Petronilho, Gerson 4 Driver, Bruce K. 4 Himonas, A. Alexandrou 3 Albeverio, Sergio A. 3 Bogachev, Vladimir Igorevich 3 Kondrat’yev, Yuriĭ Grygorovych 3 Lin, Yuguo 3 Nualart, David 3 Pasurek, Tatiana 3 Röckner, Michael 2 Cass, Thomas Richard 2 Friz, Peter Karl 2 Ghil, Michael 2 Gordina, Maria 2 Jiang, Daqing 2 Jørgensen, Palle E. T. 2 Mattingly, Jonathan Christopher 2 Melcher, Tai 2 Takeuchi, Atsushi 2 Yan, Feng 1 Abouagwa, Mahmoud 1 Agrawal, Om Prakash 1 Andersson, Lars Åke 1 Arnaudon, Marc 1 Athreya, Krishna Balasundaram 1 Azmy, E. 1 Bakhtin, Yuri Yu. 1 Balasubramaniam, Pagavathigounder 1 Bally, Vlad 1 Barostichi, Rafael F. 1 Battaglia, Erika 1 Baudoin, Fabrice 1 Benabdallah, Mohsine 1 Berrone, Lucio R. 1 Biagi, Stefano 1 Bódai, Tamás 1 Bolaños, Raul 1 Bonfiglioli, Andrea 1 Bourza, Mohamed 1 Buckwar, Evelyn 1 Caramellino, Lucia 1 Carvalho dos Santos, L. A. 1 Cattiaux, Patrick 1 Celakoska, Emilija G. 1 Chekroun, Mickaël D. 1 Chen, Yongxin 1 Chhaïbi, Réda 1 Chojecki, Tymoteusz 1 Cimpoiasu, Rodica 1 Clement, Emmanuelle 1 Cordoni, Francesco Giuseppe 1 Cutland, Nigel J. 1 da Costa, Paulo Henrique P. 1 Da Pelo, Paolo 1 Derdzinski, Andrzej 1 Di Persio, Luca 1 Driscoll, Patrick J. 1 Ekren, Ibrahim 1 Elliott, Robert James 1 Elworthy, K. David 1 Esteban-Bravo, Mercedes 1 Fan, Jun 1 Fan, Meng 1 Ferra, Igor Ambo 1 Ferrante, Marco 1 Földes, Juraj 1 Garino, Valentin 1 Georgiou, Tryphon T. 1 Gess, Benjamin 1 Glatt-Holtz, Nathan E. 1 Higham, Desmond J. 1 Högele, Michael Anton 1 Hu, Liangjian 1 Hu, Yaozhong 1 Ji, Yanting 1 Jin, Manli 1 Kalogeropoulos, Grigoris I. 1 Karniadakis, George Em 1 Trần Vũ Khanh 1 Klebaner, Fima C. 1 Kohatsu-Higa, Arturo 1 Kohlmann, Michael 1 Kohn, Joseph J. 1 Komorowski, Tomasz 1 Kříž, Igor 1 Kuske, Rachel A. 1 Kusuoka, Seiichiro Kusuoka 1 Kuzgun, Sefika 1 Lamberton, Damien 1 Lanconelli, Alberto 1 Léandre, Rémi 1 Lejay, Antoine 1 Li, Changpin 1 Li, Xue-Mei 1 Li, Yin 1 Liu, Jicheng 1 Liu, Kai 1 Liu, Meng ...and 61 more Authors
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#### Cited in 58 Serials

 16 Journal of Functional Analysis 5 Stochastic Analysis and Applications 4 Stochastic Processes and their Applications 3 Computers & Mathematics with Applications 3 Journal of Geometry and Physics 3 Transactions of the American Mathematical Society 3 Probability Theory and Related Fields 3 Journal of Mathematical Sciences (New York) 3 Advances in Difference Equations 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 The Annals of Probability 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Proceedings of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Potential Analysis 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 LMS Journal of Computation and Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Applicable Analysis 1 Nonlinearity 1 Annales de l’Institut Fourier 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Results in Mathematics 1 Transactions of the Moscow Mathematical Society 1 Statistics & Probability Letters 1 Physica D 1 Journal of Theoretical Probability 1 The Annals of Applied Probability 1 Differential Geometry and its Applications 1 Elemente der Mathematik 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Scientific Computing 1 Applied Categorical Structures 1 Theory of Probability and Mathematical Statistics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Nonlinear Dynamics 1 Mathematical Physics, Analysis and Geometry 1 Journal of Integer Sequences 1 Annals of Mathematics. Second Series 1 Discrete and Continuous Dynamical Systems. Series B 1 Stochastics and Dynamics 1 Journal of Intelligent and Fuzzy Systems 1 Asia-Pacific Financial Markets 1 International Journal of Biomathematics 1 Journal of Theoretical Biology 1 Axioms 1 Annales Henri Lebesgue
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#### Cited in 34 Fields

 69 Probability theory and stochastic processes (60-XX) 20 Partial differential equations (35-XX) 16 Ordinary differential equations (34-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Numerical analysis (65-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Measure and integration (28-XX) 6 Functional analysis (46-XX) 6 Operator theory (47-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Biology and other natural sciences (92-XX) 4 Topological groups, Lie groups (22-XX) 4 Differential geometry (53-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 3 Real functions (26-XX) 3 Geophysics (86-XX) 2 Mathematical logic and foundations (03-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Manifolds and cell complexes (57-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX)