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Darling, Richard W. R.

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 Author ID: darling.richard-w-r Published as: Darling, R. W. R.; Darling, Richard W. R.
 Documents Indexed: 32 Publications since 1982, including 2 Books Reviewing Activity: 14 Reviews
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Co-Authors

 19 single-authored 3 Mukherjea, Arunava 3 Norris, James R. 2 Waterman, Michael S. 1 Holt, Tim 1 Le Jan, Yves 1 Levin, David A. 1 Pardoux, Etienne 1 Penrose, Mathew D. 1 Pyle, Elisabeth E. 1 Wade, Andrew R. 1 Zabell, Sandy L.
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Serials

 2 Stochastics 2 The Annals of Probability 2 Probability Theory and Related Fields 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Electronic Journal of Probability 1 Advances in Mathematics 1 Biometrics 1 Bulletin of the London Mathematical Society 1 Journal of Applied Probability 1 Memoirs of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Journal of Theoretical Probability 1 Random Structures & Algorithms 1 The Annals of Applied Probability 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Integers 1 Probability Surveys
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Fields

 28 Probability theory and stochastic processes (60-XX) 12 Global analysis, analysis on manifolds (58-XX) 4 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations contained in zbMATH

25 Publications have been cited 257 times in 235 Documents Cited by Year
Backwards SDE with random terminal time and applications to semilinear elliptic PDE. Zbl 0895.60067
Darling, R. W. R.; Pardoux, Etienne
1997
Differential equation approximations for Markov chains. Zbl 1189.60152
Darling, R. W. R.; Norris, J. R.
2008
Differential forms and connections. Zbl 0822.53001
Darling, R. W. R.
1994
Structure of large random hypergraphs. Zbl 1062.05132
Darling, R. W. R.; Norris, J. R.
2005
Constructing gamma-martingales with prescribed limit, using backwards SDE. Zbl 0839.58060
Darling, R. W. R.
1995
Extreme value distribution for the largest cube in a random lattice. Zbl 0658.60063
Darling, R. W. R.; Waterman, Michael S.
1986
Constructing nonhomeomorphic stochastic flows. Zbl 0629.60078
Darling, R. W. R.
1987
Martingales in manifolds - definition, examples and behaviour under maps. Zbl 0482.58035
Darling, R. W. R.
1982
The statistical equilibrium of an isotropic stochastic flow with negative Lyapunov exponents is trivial. Zbl 0647.60076
Darling, R. W. R.; Le Jan, Yves
1988
Convergence of martingales on a Riemannian manifold. Zbl 0532.58033
Darling, Richard W. R.
1983
Rate of growth of the coalescent set in a coalescing stochastic flow. Zbl 0648.60073
Darling, R. W. R.
1988
Matching rectangles in d-dimensions: Algorithms and laws of large numbers. Zbl 0586.60030
Darling, R. W. R.; Waterman, Michael S.
1985
Continuous and discontinuous phase transitions in hypergraph processes. Zbl 1050.60017
Darling, R. W. R.; Levin, David A.; Norris, James R.
2004
Martingales on noncompact manifolds: Maximal inequalities and prescribed limits. Zbl 0861.58050
Darling, R. W. R.
1996
The Lyapunov exponent for products of infinite-dimensional random matrices. Zbl 0737.60010
Darling, R. W. R.
1991
On the convergence of Gangolli processes to Brownian motion on a manifold. Zbl 0543.58028
Darling, R. W. R.
1984
Approximating Ito integrals of differential forms and geodesic deviation. Zbl 0519.60053
Darling, R. W. R.
1984
Maximum GCD among pairs of random integers. Zbl 1239.11087
Darling, R. W. R.; Pyle, E. E.
2011
Intrinsic location parameter of a diffusion process. Zbl 1008.60081
Darling, R. W. R.
2002
Exit probability estimates for martingales in geodesic balls, using curvature. Zbl 0767.60041
Darling, R. W. R.
1992
Isotropic stochastic flows: A survey. Zbl 0751.60058
Darling, R. W. R.
1992
Convergence of martingales on manifolds of negative curvature. Zbl 0565.60042
Darling, R. W. R.
1985
Rank deficiency in sparse random $$\mathrm{GF}[2]$$ matrices. Zbl 1352.60010
Darling, Richard W. R.; Penrose, Mathew D.; Wade, Andrew R.; Zabell, Sandy L.
2014
Converting matrix Riccati equations to second-order linear ODE. Zbl 0886.34002
Darling, R. W. R.
1997
Stochastic flows on a countable set: Convergence in distribution. Zbl 0638.60006
Darling, R. W. R.; Mukherjea, Arunava
1988
Rank deficiency in sparse random $$\mathrm{GF}[2]$$ matrices. Zbl 1352.60010
Darling, Richard W. R.; Penrose, Mathew D.; Wade, Andrew R.; Zabell, Sandy L.
2014
Maximum GCD among pairs of random integers. Zbl 1239.11087
Darling, R. W. R.; Pyle, E. E.
2011
Differential equation approximations for Markov chains. Zbl 1189.60152
Darling, R. W. R.; Norris, J. R.
2008
Structure of large random hypergraphs. Zbl 1062.05132
Darling, R. W. R.; Norris, J. R.
2005
Continuous and discontinuous phase transitions in hypergraph processes. Zbl 1050.60017
Darling, R. W. R.; Levin, David A.; Norris, James R.
2004
Intrinsic location parameter of a diffusion process. Zbl 1008.60081
Darling, R. W. R.
2002
Backwards SDE with random terminal time and applications to semilinear elliptic PDE. Zbl 0895.60067
Darling, R. W. R.; Pardoux, Etienne
1997
Converting matrix Riccati equations to second-order linear ODE. Zbl 0886.34002
Darling, R. W. R.
1997
Martingales on noncompact manifolds: Maximal inequalities and prescribed limits. Zbl 0861.58050
Darling, R. W. R.
1996
Constructing gamma-martingales with prescribed limit, using backwards SDE. Zbl 0839.58060
Darling, R. W. R.
1995
Differential forms and connections. Zbl 0822.53001
Darling, R. W. R.
1994
Exit probability estimates for martingales in geodesic balls, using curvature. Zbl 0767.60041
Darling, R. W. R.
1992
Isotropic stochastic flows: A survey. Zbl 0751.60058
Darling, R. W. R.
1992
The Lyapunov exponent for products of infinite-dimensional random matrices. Zbl 0737.60010
Darling, R. W. R.
1991
The statistical equilibrium of an isotropic stochastic flow with negative Lyapunov exponents is trivial. Zbl 0647.60076
Darling, R. W. R.; Le Jan, Yves
1988
Rate of growth of the coalescent set in a coalescing stochastic flow. Zbl 0648.60073
Darling, R. W. R.
1988
Stochastic flows on a countable set: Convergence in distribution. Zbl 0638.60006
Darling, R. W. R.; Mukherjea, Arunava
1988
Constructing nonhomeomorphic stochastic flows. Zbl 0629.60078
Darling, R. W. R.
1987
Extreme value distribution for the largest cube in a random lattice. Zbl 0658.60063
Darling, R. W. R.; Waterman, Michael S.
1986
Matching rectangles in d-dimensions: Algorithms and laws of large numbers. Zbl 0586.60030
Darling, R. W. R.; Waterman, Michael S.
1985
Convergence of martingales on manifolds of negative curvature. Zbl 0565.60042
Darling, R. W. R.
1985
On the convergence of Gangolli processes to Brownian motion on a manifold. Zbl 0543.58028
Darling, R. W. R.
1984
Approximating Ito integrals of differential forms and geodesic deviation. Zbl 0519.60053
Darling, R. W. R.
1984
Convergence of martingales on a Riemannian manifold. Zbl 0532.58033
Darling, Richard W. R.
1983
Martingales in manifolds - definition, examples and behaviour under maps. Zbl 0482.58035
Darling, R. W. R.
1982
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Cited by 373 Authors

 7 Bortolussi, Luca 7 Darling, Richard W. R. 7 Pollett, Philip K. 6 Pardoux, Etienne 6 Rascanu, Aurel 5 Glaz, Joseph 5 Maticiuc, Lucian 5 Mcvinish, Ross S. 5 Norris, James R. 4 Luczak, Malwina J. 4 Yin, Juliang 3 Dimitrov, Georgi K. 3 Hillston, Jane 3 Hu, Ying 3 Possamaï, Dylan 3 Shi, Yufeng 2 Albeverio, Sergio A. 2 Amărioarei, Alexandru 2 Bahlali, Khaled 2 Barbour, Andrew D. 2 Baxendale, Peter H. 2 Bianchi, Giuseppe 2 Blache, Fabrice 2 Bracciale, Lorenzo 2 Briand, Philippe 2 Bridges, Thomas J. 2 Censor-Hillel, Keren 2 Chen, Jie 2 Crepey, Stephane 2 Danos, Vincent 2 Dorogovtsev, Andriĭ Anatoliĭovych 2 Essaky, El Hassan 2 Fernández Pérez, José Luis 2 Fuhrman, Marco 2 Goldschmidt, Christina 2 Janson, Svante 2 Jonckheere, Matthieu 2 Kelbert, Mark Ya. 2 Le Jan, Yves 2 Li, Juan 2 Lim, Adrian P. C. 2 Lincoln, Andrea 2 Matoussi, Anis 2 Médard, Muriel 2 Nie, Tianyang 2 Ouknine, Youssef 2 Penner, Robert C. 2 Picard, Jean-Claude 2 Pontier, Monique 2 Preda, Cristian 2 Raimond, Olivier 2 Riabov, Georgii V. 2 Sazonov, Igor A. 2 Tang, Shanjian 2 Tessitore, Gianmario 2 Tudoran, Răzvan Micu 2 Xing, Hao 2 Yoshida, Nobuo 2 Zalinescu, Adrian 2 Zhang, Tusheng S. 2 Zhao, Huaizhong 2 Zhou, Chao 2 Zong, Zhaojun 1 Accinelli, Elvio 1 Agarwal, Ankush 1 Ait Rami, Mustapha 1 Amami, Rim 1 Andersen, Jørgen Ellegaard 1 Andersson, Lars Åke 1 Antunes, Nelson 1 Ardila Mantilla, Federico 1 Atsuji, Atsushi 1 Averboukh, Yuriĭ Vladimirovich 1 Aydogmus, Ozgur 1 Bansaye, Vincent 1 Basdevant, Anne-Laure 1 Bazzano, Bruno 1 Belopol’skaya, Yana Isaevna 1 Bennett, Jonathan M. 1 Bensoussan, Alain 1 Berestycki, Julien 1 Berestycki, Nathanaël 1 Bermolen, Paola 1 Bez, Neal 1 Bhamidi, Shankar 1 Block, Philippe 1 Blondel, Vincent D. 1 Boček, Pavel 1 Bocharov, Gennady A. 1 Boetius, Frederik 1 Bokharaie, Vahid Samadi 1 Bosman, J. W. 1 Bossy, Mireille 1 Bouchard, Bruno 1 Bradley, Jeremy T. 1 Braun, Carol 1 Brim, Luboš 1 Buckdahn, Rainer 1 Budhiraja, Amarjit S. 1 Büke, Burak ...and 273 more Authors
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Cited in 105 Serials

 19 The Annals of Probability 19 Stochastic Processes and their Applications 11 The Annals of Applied Probability 8 Journal of Mathematical Analysis and Applications 8 Statistics & Probability Letters 7 Journal of Functional Analysis 5 Advances in Applied Probability 5 Mathematical Biosciences 4 Journal of Statistical Physics 4 Probability Theory and Related Fields 4 Methodology and Computing in Applied Probability 3 Journal of Mathematical Biology 3 Journal of Mathematical Physics 3 Stochastics 3 SIAM Journal on Control and Optimization 3 Stochastic Analysis and Applications 3 Information and Computation 3 Journal of Theoretical Probability 3 Queueing Systems 3 Bulletin des Sciences Mathématiques 3 Electronic Journal of Probability 3 Bernoulli 2 American Mathematical Monthly 2 Physics Letters. A 2 Journal of Geometry and Physics 2 Applied Mathematics and Optimization 2 Journal of Applied Probability 2 Theoretical Computer Science 2 Random Structures & Algorithms 2 Stochastics and Stochastics Reports 2 Random Operators and Stochastic Equations 2 Monte Carlo Methods and Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics and Dynamics 2 Science China. Mathematics 1 Artificial Intelligence 1 Communications on Pure and Applied Mathematics 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Solids and Structures 1 Journal of Computational Physics 1 Lithuanian Mathematical Journal 1 Ukrainian Mathematical Journal 1 Bulletin of Mathematical Biology 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Illinois Journal of Mathematics 1 Journal of Multivariate Analysis 1 Journal of Optimization Theory and Applications 1 Journal of Statistical Planning and Inference 1 Kybernetika 1 Mathematics of Operations Research 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Semigroup Forum 1 Siberian Mathematical Journal 1 Statistica Neerlandica 1 Tohoku Mathematical Journal. Second Series 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Advances in Applied Mathematics 1 Bulletin of the Korean Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Physica D 1 Optimization 1 ACM Transactions on Graphics 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 MCSS. Mathematics of Control, Signals, and Systems 1 Science in China. Series A 1 Journal of Applied Mathematics and Stochastic Analysis 1 MSCS. Mathematical Structures in Computer Science 1 Applications of Mathematics 1 Communications in Statistics. Theory and Methods 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Combinatorics, Probability and Computing 1 Journal of Mathematical Sciences (New York) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Journal of Inequalities and Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Theoretical and Applied Finance 1 Annales Henri Poincaré 1 Journal of the Australian Mathematical Society 1 Journal of Discrete Algorithms 1 African Diaspora Journal of Mathematics 1 Stochastics 1 International Journal of Number Theory 1 Advances in Mathematics of Communications 1 Mathematical Modelling of Natural Phenomena 1 SIAM Journal on Financial Mathematics 1 Probability Surveys 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Dynamic Games and Applications 1 Journal of Theoretical Biology 1 Stochastic Systems ...and 5 more Serials
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Cited in 33 Fields

 178 Probability theory and stochastic processes (60-XX) 33 Partial differential equations (35-XX) 26 Biology and other natural sciences (92-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Global analysis, analysis on manifolds (58-XX) 21 Computer science (68-XX) 18 Combinatorics (05-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Systems theory; control (93-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Operations research, mathematical programming (90-XX) 11 Ordinary differential equations (34-XX) 10 Statistics (62-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Numerical analysis (65-XX) 7 Differential geometry (53-XX) 4 Operator theory (47-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Fluid mechanics (76-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX)