Edit Profile (opens in new tab) Darling, Richard W. R. Co-Author Distance Author ID: darling.richard-w-r Published as: Darling, R. W. R.; Darling, Richard W. R. Further Spellings: Darling, Richard William Ramsay External Links: MGP · Wikidata · ResearchGate Documents Indexed: 46 Publications since 1982, including 2 Books and 14 Additional arXiv Preprints Reviewing Activity: 14 Reviews Co-Authors: 27 Co-Authors with 23 Joint Publications 565 Co-Co-Authors all top 5 Co-Authors 23 single-authored 4 Norris, James R. 3 Mukherjea, Arunava 2 Baron, Jacob D. 2 Waterman, Michael S. 1 Clark, Gregory S. 1 Davis, J. Laylon 1 Emanuello, John A. 1 Grilliette, Will 1 Harris, David G. 1 Holt, Tim 1 Homberger, Cheyne 1 Le Jan, Yves 1 Levin, David A. 1 Logan, Adam 1 Pardoux, Etienne 1 Pemantle, Robin 1 Penrose, Mathew D. 1 Pettit, Regina 1 Phulara, Dev R. 1 Proos, John A. 1 Purvine, Emilie 1 Pyle, Elisabeth E. 1 Ridley, Ahmad 1 Tucker, J. Derek 1 Velednitsky, Mark L. 1 Wade, Andrew R. 1 Zabell, Sandy L. all top 5 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 all top 5 Fields 34 Probability theory and stochastic processes (60-XX) 14 Global analysis, analysis on manifolds (58-XX) 10 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Differential geometry (53-XX) 3 Statistics (62-XX) 3 Operations research, mathematical programming (90-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Abstract harmonic analysis (43-XX) 2 Biology and other natural sciences (92-XX) 1 Order, lattices, ordered algebraic structures (06-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 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 338 times in 316 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 100 1997 Differential equation approximations for Markov chains. Zbl 1189.60152 Darling, R. W. R.; Norris, J. R. 88 2008 Differential forms and connections. Zbl 0822.53001 Darling, R. W. R. 26 1994 Constructing gamma-martingales with prescribed limit, using backwards SDE. Zbl 0839.58060 Darling, R. W. R. 17 1995 Structure of large random hypergraphs. Zbl 1062.05132 Darling, R. W. R.; Norris, J. R. 17 2005 Constructing nonhomeomorphic stochastic flows. Zbl 0629.60078 Darling, R. W. R. 12 1987 Extreme value distribution for the largest cube in a random lattice. Zbl 0658.60063 Darling, R. W. R.; Waterman, Michael S. 12 1986 Martingales in manifolds - definition, examples and behaviour under maps. Zbl 0482.58035 Darling, R. W. R. 8 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 7 1988 Convergence of martingales on a Riemannian manifold. Zbl 0532.58033 Darling, Richard W. R. 6 1983 Martingales on noncompact manifolds: Maximal inequalities and prescribed limits. Zbl 0861.58050 Darling, R. W. R. 5 1996 Matching rectangles in d-dimensions: Algorithms and laws of large numbers. Zbl 0586.60030 Darling, R. W. R.; Waterman, Michael S. 5 1985 The Lyapunov exponent for products of infinite-dimensional random matrices. Zbl 0737.60010 Darling, R. W. R. 4 1991 Approximating Ito integrals of differential forms and geodesic deviation. Zbl 0519.60053 Darling, R. W. R. 4 1984 Rate of growth of the coalescent set in a coalescing stochastic flow. Zbl 0648.60073 Darling, R. W. R. 4 1988 On the convergence of Gangolli processes to Brownian motion on a manifold. Zbl 0543.58028 Darling, R. W. R. 4 1984 Isotropic stochastic flows: A survey. Zbl 0751.60058 Darling, R. W. R. 3 1992 Continuous and discontinuous phase transitions in hypergraph processes. Zbl 1050.60017 Darling, R. W. R.; Levin, David A.; Norris, James R. 3 2004 Convergence of martingales on manifolds of negative curvature. Zbl 0565.60042 Darling, R. W. R. 2 1985 Exit probability estimates for martingales in geodesic balls, using curvature. Zbl 0767.60041 Darling, R. W. R. 2 1992 Maximum GCD among pairs of random integers. Zbl 1239.11087 Darling, R. W. R.; Pyle, E. E. 2 2011 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. 2 2014 Intrinsic location parameter of a diffusion process. Zbl 1008.60081 Darling, R. W. R. 2 2002 Stochastic flows on a countable set: Convergence in distribution. Zbl 0638.60006 Darling, R. W. R.; Mukherjea, Arunava 1 1988 Infinite-dimensional stochastic difference equations for particle systems and network flows. Zbl 0682.60049 Darling, R. W. R. 1 1989 Converting matrix Riccati equations to second-order linear ODE. Zbl 0886.34002 Darling, R. W. R. 1 1997 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. 2 2014 Maximum GCD among pairs of random integers. Zbl 1239.11087 Darling, R. W. R.; Pyle, E. E. 2 2011 Differential equation approximations for Markov chains. Zbl 1189.60152 Darling, R. W. R.; Norris, J. R. 88 2008 Structure of large random hypergraphs. Zbl 1062.05132 Darling, R. W. R.; Norris, J. R. 17 2005 Continuous and discontinuous phase transitions in hypergraph processes. Zbl 1050.60017 Darling, R. W. R.; Levin, David A.; Norris, James R. 3 2004 Intrinsic location parameter of a diffusion process. Zbl 1008.60081 Darling, R. W. R. 2 2002 Backwards SDE with random terminal time and applications to semilinear elliptic PDE. Zbl 0895.60067 Darling, R. W. R.; Pardoux, Etienne 100 1997 Converting matrix Riccati equations to second-order linear ODE. Zbl 0886.34002 Darling, R. W. R. 1 1997 Martingales on noncompact manifolds: Maximal inequalities and prescribed limits. Zbl 0861.58050 Darling, R. W. R. 5 1996 Constructing gamma-martingales with prescribed limit, using backwards SDE. Zbl 0839.58060 Darling, R. W. R. 17 1995 Differential forms and connections. Zbl 0822.53001 Darling, R. W. R. 26 1994 Isotropic stochastic flows: A survey. Zbl 0751.60058 Darling, R. W. R. 3 1992 Exit probability estimates for martingales in geodesic balls, using curvature. Zbl 0767.60041 Darling, R. W. R. 2 1992 The Lyapunov exponent for products of infinite-dimensional random matrices. Zbl 0737.60010 Darling, R. W. R. 4 1991 Infinite-dimensional stochastic difference equations for particle systems and network flows. Zbl 0682.60049 Darling, R. W. R. 1 1989 The statistical equilibrium of an isotropic stochastic flow with negative Lyapunov exponents is trivial. Zbl 0647.60076 Darling, R. W. R.; Le Jan, Yves 7 1988 Rate of growth of the coalescent set in a coalescing stochastic flow. Zbl 0648.60073 Darling, R. W. R. 4 1988 Stochastic flows on a countable set: Convergence in distribution. Zbl 0638.60006 Darling, R. W. R.; Mukherjea, Arunava 1 1988 Constructing nonhomeomorphic stochastic flows. Zbl 0629.60078 Darling, R. W. R. 12 1987 Extreme value distribution for the largest cube in a random lattice. Zbl 0658.60063 Darling, R. W. R.; Waterman, Michael S. 12 1986 Matching rectangles in d-dimensions: Algorithms and laws of large numbers. Zbl 0586.60030 Darling, R. W. R.; Waterman, Michael S. 5 1985 Convergence of martingales on manifolds of negative curvature. Zbl 0565.60042 Darling, R. W. R. 2 1985 Approximating Ito integrals of differential forms and geodesic deviation. Zbl 0519.60053 Darling, R. W. R. 4 1984 On the convergence of Gangolli processes to Brownian motion on a manifold. Zbl 0543.58028 Darling, R. W. R. 4 1984 Convergence of martingales on a Riemannian manifold. Zbl 0532.58033 Darling, Richard W. R. 6 1983 Martingales in manifolds - definition, examples and behaviour under maps. Zbl 0482.58035 Darling, R. W. R. 8 1982 all cited Publications top 5 cited Publications all top 5 Cited by 492 Authors 9 Bortolussi, Luca 7 Darling, Richard W. R. 7 Pollett, Philip K. 7 Rascanu, Aurel 6 Glaz, Joseph 6 Maticiuc, Lucian 6 Norris, James R. 6 Pardoux, Etienne 5 Luczak, Malwina J. 5 Mcvinish, Ross S. 4 Cooley, Oliver 4 Hillston, Jane 4 Kang, Mihyun 4 Nie, Tianyang 4 Possamaï, Dylan 4 Yin, Juliang 3 Bahlali, Khaled 3 Dorogovtsev, Andriĭ Anatoliĭovych 3 Durrett, Richard Timothy 3 El Otmani, Mohamed 3 Heydecker, Daniel 3 Hu, Ying 3 Huang, Ruojun 3 Raimond, Olivier 3 Riabov, Georgii V. 3 Shi, Yufeng 3 Wu, Zhen 3 Yang, Xue 3 Žitković, Gordan 3 Zong, Zhaojun 2 Albeverio, Sergio A. 2 Amărioarei, Alexandru 2 Aydogmus, Ozgur 2 Barbour, Andrew David 2 Baxendale, Peter H. 2 Bianchi, Giuseppe 2 Bracciale, Lorenzo 2 Briand, Philippe 2 Bridges, Thomas J. 2 Campi, Luciano 2 Censor-Hillel, Keren 2 Chassagneux, Jean-François 2 Chen, Jie 2 Chen, Zengjing 2 Coja-Oghlan, Amin 2 Cosso, Andrea 2 Crepey, Stephane 2 Danos, Vincent 2 Del Giudice, Nicola 2 Dembo, Amir 2 Dimitrov, Georgi K. 2 Elhachemy, Mohammed 2 Essaky, El Hassan 2 Fernández Gallardo, Pablo 2 Fernández Pérez, José Luis 2 Fuhrman, Marco 2 Fukushima, Ryoki 2 Gast, Nicolas 2 Goldschmidt, Christina 2 Hu, Feng 2 Jackson, Joe 2 Janson, Svante 2 Jonckheere, Matthieu 2 Kelbert, Mark Ya. 2 Lanciani, Roberta 2 Le Jan, Yves 2 Li, Juan 2 Li, Quanlin 2 Lim, Adrian P. C. 2 Lincoln, Andrea 2 Loreti, Michele 2 Matoussi, Anis 2 Médard, Muriel 2 Merino-Aceituno, Sara 2 Mnif, Mohamed 2 Moll, Salvador 2 Nam, Kihun 2 Ouknine, Youssef 2 Penner, Robert C. 2 Pham, Huyên 2 Picard, Jean 2 Plunder, Steffen 2 Pontier, Monique 2 Popier, Alexandre 2 Preda, Cristian 2 Richou, Adrien 2 Rozkosz, Andrzej 2 Sazonov, Igor A. 2 Shirakawa, Ken 2 Simeon, Bernd 2 Skubch, Kathrin 2 Sprussel, Philipp 2 Tang, Shanjian 2 Tessitore, Gianmario 2 Tudoran, Răzvan Micu 2 Turner, Amanda G. 2 Wang, Shujun 2 Watanabe, Hiroshi 2 Wong, Chi Hong 2 Wu, Qianzhu ...and 392 more Authors all top 5 Cited in 139 Serials 23 Stochastic Processes and their Applications 19 The Annals of Probability 13 The Annals of Applied Probability 8 Journal of Mathematical Analysis and Applications 8 Journal of Functional Analysis 8 Statistics & Probability Letters 8 Electronic Journal of Probability 6 Advances in Applied Probability 6 Mathematical Biosciences 5 Applied Mathematics and Optimization 5 Probability Theory and Related Fields 5 Methodology and Computing in Applied Probability 4 Journal of Statistical Physics 4 SIAM Journal on Control and Optimization 4 Journal of Theoretical Probability 4 Queueing Systems 4 Random Structures & Algorithms 4 Stochastics and Dynamics 3 Journal of Mathematical Biology 3 Journal of Mathematical Physics 3 Stochastics 3 Stochastic Analysis and Applications 3 Information and Computation 3 Random Operators and Stochastic Equations 3 Bulletin des Sciences Mathématiques 3 Bernoulli 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 American Mathematical Monthly 2 Communications on Pure and Applied Mathematics 2 Physics Letters. A 2 Ukrainian Mathematical Journal 2 Bulletin of Mathematical Biology 2 Journal of Geometry and Physics 2 Journal of Applied Probability 2 Theoretical Computer Science 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Stochastics and Stochastics Reports 2 Potential Analysis 2 Monte Carlo Methods and Applications 2 Mathematical Finance 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics 2 SIAM Journal on Financial Mathematics 2 Science China. Mathematics 2 Dynamic Games and Applications 2 Probability, Uncertainty and Quantitative Risk 1 Artificial Intelligence 1 Archive for Rational Mechanics and Analysis 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 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 Physics Reports 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Duke Mathematical Journal 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 Tôhoku Mathematical Journal. Second Series 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Advances in Applied Mathematics 1 Systems & Control Letters 1 Bulletin of the Korean Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Physica D 1 Optimization 1 ACM Transactions on Graphics 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 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 Annals of Operations Research 1 Mathematical Structures in Computer Science 1 Applications of Mathematics 1 Communications in Statistics. Theory and Methods 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Journal of Mathematical Imaging and Vision 1 Journal of Nonlinear Science 1 Combinatorics, Probability and Computing ...and 39 more Serials all top 5 Cited in 42 Fields 230 Probability theory and stochastic processes (60-XX) 53 Partial differential equations (35-XX) 39 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 Biology and other natural sciences (92-XX) 28 Computer science (68-XX) 26 Combinatorics (05-XX) 22 Global analysis, analysis on manifolds (58-XX) 22 Systems theory; control (93-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 18 Operations research, mathematical programming (90-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Ordinary differential equations (34-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Statistics (62-XX) 10 Differential geometry (53-XX) 10 Numerical analysis (65-XX) 5 Potential theory (31-XX) 5 Operator theory (47-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Functional analysis (46-XX) 4 Mechanics of particles and systems (70-XX) 4 Fluid mechanics (76-XX) 4 Quantum theory (81-XX) 4 Information and communication theory, circuits (94-XX) 3 Number theory (11-XX) 3 Mechanics of deformable solids (74-XX) 2 Geometry (51-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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