Edit Profile Darling, Richard W. R. Compute Distance To: Compute 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 all top 5 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. 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 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) Publications by Year all cited Publications top 5 cited Publications 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 0895.60067Darling, R. W. R.; Pardoux, Etienne 77 1997 Differential equation approximations for Markov chains. Zbl 1189.60152Darling, R. W. R.; Norris, J. R. 58 2008 Differential forms and connections. Zbl 0822.53001Darling, R. W. R. 21 1994 Structure of large random hypergraphs. Zbl 1062.05132Darling, R. W. R.; Norris, J. R. 13 2005 Constructing gamma-martingales with prescribed limit, using backwards SDE. Zbl 0839.58060Darling, R. W. R. 13 1995 Extreme value distribution for the largest cube in a random lattice. Zbl 0658.60063Darling, R. W. R.; Waterman, Michael S. 11 1986 Constructing nonhomeomorphic stochastic flows. Zbl 0629.60078Darling, R. W. R. 10 1987 Martingales in manifolds - definition, examples and behaviour under maps. Zbl 0482.58035Darling, R. W. R. 7 1982 The statistical equilibrium of an isotropic stochastic flow with negative Lyapunov exponents is trivial. Zbl 0647.60076Darling, R. W. R.; Le Jan, Yves 6 1988 Convergence of martingales on a Riemannian manifold. Zbl 0532.58033Darling, Richard W. R. 5 1983 Rate of growth of the coalescent set in a coalescing stochastic flow. Zbl 0648.60073Darling, R. W. R. 4 1988 Matching rectangles in d-dimensions: Algorithms and laws of large numbers. Zbl 0586.60030Darling, R. W. R.; Waterman, Michael S. 4 1985 Continuous and discontinuous phase transitions in hypergraph processes. Zbl 1050.60017Darling, R. W. R.; Levin, David A.; Norris, James R. 3 2004 Martingales on noncompact manifolds: Maximal inequalities and prescribed limits. Zbl 0861.58050Darling, R. W. R. 3 1996 The Lyapunov exponent for products of infinite-dimensional random matrices. Zbl 0737.60010Darling, R. W. R. 3 1991 On the convergence of Gangolli processes to Brownian motion on a manifold. Zbl 0543.58028Darling, R. W. R. 3 1984 Approximating Ito integrals of differential forms and geodesic deviation. Zbl 0519.60053Darling, R. W. R. 3 1984 Maximum GCD among pairs of random integers. Zbl 1239.11087Darling, R. W. R.; Pyle, E. E. 2 2011 Intrinsic location parameter of a diffusion process. Zbl 1008.60081Darling, R. W. R. 2 2002 Exit probability estimates for martingales in geodesic balls, using curvature. Zbl 0767.60041Darling, R. W. R. 2 1992 Isotropic stochastic flows: A survey. Zbl 0751.60058Darling, R. W. R. 2 1992 Convergence of martingales on manifolds of negative curvature. Zbl 0565.60042Darling, R. W. R. 2 1985 Rank deficiency in sparse random \(\mathrm{GF}[2]\) matrices. Zbl 1352.60010Darling, Richard W. R.; Penrose, Mathew D.; Wade, Andrew R.; Zabell, Sandy L. 1 2014 Converting matrix Riccati equations to second-order linear ODE. Zbl 0886.34002Darling, R. W. R. 1 1997 Stochastic flows on a countable set: Convergence in distribution. Zbl 0638.60006Darling, R. W. R.; Mukherjea, Arunava 1 1988 Rank deficiency in sparse random \(\mathrm{GF}[2]\) matrices. Zbl 1352.60010Darling, Richard W. R.; Penrose, Mathew D.; Wade, Andrew R.; Zabell, Sandy L. 1 2014 Maximum GCD among pairs of random integers. Zbl 1239.11087Darling, R. W. R.; Pyle, E. E. 2 2011 Differential equation approximations for Markov chains. Zbl 1189.60152Darling, R. W. R.; Norris, J. R. 58 2008 Structure of large random hypergraphs. Zbl 1062.05132Darling, R. W. R.; Norris, J. R. 13 2005 Continuous and discontinuous phase transitions in hypergraph processes. Zbl 1050.60017Darling, R. W. R.; Levin, David A.; Norris, James R. 3 2004 Intrinsic location parameter of a diffusion process. Zbl 1008.60081Darling, R. W. R. 2 2002 Backwards SDE with random terminal time and applications to semilinear elliptic PDE. Zbl 0895.60067Darling, R. W. R.; Pardoux, Etienne 77 1997 Converting matrix Riccati equations to second-order linear ODE. Zbl 0886.34002Darling, R. W. R. 1 1997 Martingales on noncompact manifolds: Maximal inequalities and prescribed limits. Zbl 0861.58050Darling, R. W. R. 3 1996 Constructing gamma-martingales with prescribed limit, using backwards SDE. Zbl 0839.58060Darling, R. W. R. 13 1995 Differential forms and connections. Zbl 0822.53001Darling, R. W. R. 21 1994 Exit probability estimates for martingales in geodesic balls, using curvature. Zbl 0767.60041Darling, R. W. R. 2 1992 Isotropic stochastic flows: A survey. Zbl 0751.60058Darling, R. W. R. 2 1992 The Lyapunov exponent for products of infinite-dimensional random matrices. Zbl 0737.60010Darling, R. W. R. 3 1991 The statistical equilibrium of an isotropic stochastic flow with negative Lyapunov exponents is trivial. Zbl 0647.60076Darling, R. W. R.; Le Jan, Yves 6 1988 Rate of growth of the coalescent set in a coalescing stochastic flow. Zbl 0648.60073Darling, R. W. R. 4 1988 Stochastic flows on a countable set: Convergence in distribution. Zbl 0638.60006Darling, R. W. R.; Mukherjea, Arunava 1 1988 Constructing nonhomeomorphic stochastic flows. Zbl 0629.60078Darling, R. W. R. 10 1987 Extreme value distribution for the largest cube in a random lattice. Zbl 0658.60063Darling, R. W. R.; Waterman, Michael S. 11 1986 Matching rectangles in d-dimensions: Algorithms and laws of large numbers. Zbl 0586.60030Darling, R. W. R.; Waterman, Michael S. 4 1985 Convergence of martingales on manifolds of negative curvature. Zbl 0565.60042Darling, R. W. R. 2 1985 On the convergence of Gangolli processes to Brownian motion on a manifold. Zbl 0543.58028Darling, R. W. R. 3 1984 Approximating Ito integrals of differential forms and geodesic deviation. Zbl 0519.60053Darling, R. W. R. 3 1984 Convergence of martingales on a Riemannian manifold. Zbl 0532.58033Darling, Richard W. R. 5 1983 Martingales in manifolds - definition, examples and behaviour under maps. Zbl 0482.58035Darling, R. W. R. 7 1982 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year