Edit Profile (opens in new tab) Dawson, Donald Andrew Compute Distance To: Compute Author ID: dawson.donald-a Published as: Dawson, Donald A.; Dawson, D. A.; Dawson, Donald more...less Homepage: http://people.math.carleton.ca/~ddawson/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 157 Publications since 1964, including 8 Books 5 Contributions as Editor Reviewing Activity: 58 Reviews Biographic References: 3 Publications Co-Authors: 55 Co-Authors with 123 Joint Publications 1,585 Co-Co-Authors all top 5 Co-Authors 37 single-authored 26 Fleischmann, Klaus 16 Gorostiza, Luis G. 12 Greven, Andreas 12 Hochberg, Kenneth J. 11 Perkins, Edwin A. 9 Gärtner, Jürgen 9 Li, Zenghu 7 Vinogradov, Vladimir Vladimirovich 5 Feng, Shui 5 Wakolbinger, Anton 5 Zhao, Yiqiang Q. 4 Vaillancourt, Jean 4 Wang, Hao 4 Xiong, Jie 3 Müller, Carl E. 3 Mytnik, Leonid 2 Cutler, Colleen D. 2 Dai, Hongshuai 2 den Hollander, Frank 2 Etheridge, Alison Mary 2 Iscoe, Ian 2 Li, Yi 2 Rémillard, Bruno N. 2 Sankoff, David 2 Tang, Jiashan 2 Wu, Yadong 1 Baake, Ellen 1 Bose, Amitava 1 Cox, J. Theodore 1 Csörgő, Miklós 1 Foley, Robert D. 1 Ivanoff, B. Gail 1 Jakšić, Vojkan 1 Kouritzin, Michael A. 1 Kulik, Rafał 1 Kurtz, Thomas Gordon 1 Le Gall, Jean-François 1 Leduc, Guillaume 1 March, Peter 1 Mörters, Peter 1 Ould Haye, Mohamedou 1 Papanicolaou, George C. 1 Peletier, Lambertus Adrianus 1 Perez-Abarca, Juan-Manuel 1 Rao, Jonnagadda Nalini Kanth 1 Roelly, Sylvie 1 Saleh, A. K. Md. Ehsanes 1 Salehi, Habib 1 Schmuland, Byron 1 Sun, Rongfeng 1 Sun, Wei 1 Swart, Jan M. 1 Szyszkowicz, Barbara 1 Turnbull, S. R. 1 Vaĭnberg, Boris Rufimovich 1 Zhou, Xiaowen all top 5 Serials 13 The Annals of Probability 11 Stochastic Processes and their Applications 7 Electronic Journal of Probability 6 Probability Theory and Related Fields 5 Journal of Theoretical Probability 4 Canadian Mathematical Bulletin 3 Journal of Applied Probability 3 Journal of Multivariate Analysis 3 Memoirs of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Potential Analysis 2 Advances in Applied Probability 2 The Canadian Journal of Statistics 2 Applied Mathematics and Optimization 2 Illinois Journal of Mathematics 2 Journal of Functional Analysis 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Comptes Rendus Mathématiques de l’Académie des Sciences 2 Stochastic Analysis and Applications 2 CRM Proceedings & Lecture Notes 1 International Journal of Mechanical Sciences 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Mathematical Biosciences 1 Stochastics 1 Canadian Journal of Mathematics 1 Information and Control 1 Journal of Differential Equations 1 Theoretical Population Biology 1 Advances in Applied Mathematics 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Asia-Pacific Journal of Operational Research 1 Queueing Systems 1 The Annals of Applied Probability 1 SIAM Journal on Applied Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Electronic Communications in Probability 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Oberwolfach Reports 1 Fields Institute Communications 1 Lecture Notes in Mathematics 1 Communications on Stochastic Analysis all top 5 Fields 150 Probability theory and stochastic processes (60-XX) 19 Biology and other natural sciences (92-XX) 12 Statistical mechanics, structure of matter (82-XX) 7 Partial differential equations (35-XX) 5 General and overarching topics; collections (00-XX) 5 Combinatorics (05-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 2 Measure and integration (28-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 132 Publications have been cited 1,882 times in 1,132 Documents Cited by ▼ Year ▼ Measure-valued Markov processes. Zbl 0799.60080Dawson, Donald A. 198 1993 Large deviations from the McKean-Vlasov limit for weakly interacting diffusions. Zbl 0613.60021Dawson, Donald A.; Gärtner, Jürgen 154 1987 Stochastic evolution equations and related measure processes. Zbl 0299.60050Dawson, D. A. 81 1975 Historical processes. Zbl 0754.60062Dawson, Donald A.; Perkins, Edwin A. 75 1991 Super-Brownian motion: Path properties and hitting probabilities. Zbl 0692.60063Dawson, D. A.; Iscoe, I.; Perkins, E. A. 65 1989 The critical measure diffusion process. Zbl 0343.60001Dawson, D. A. 64 1977 Stochastic equations, flows and measure-valued processes. Zbl 1254.60088Dawson, Donald A.; Li, Zenghu 60 2012 Skew convolution semigroups and affine Markov processes. Zbl 1102.60065Dawson, D. A.; Li, Zenghu 59 2006 Stochastic evolution equations. Zbl 0251.60040Dawson, D. A. 53 1972 An inequality for probabilities. Zbl 0154.19401Dawson, D. A.; Sankoff, D. 47 1967 Stochastic McKean-Vlasov equations. Zbl 0830.60091Dawson, Donald; Vaillancourt, Jean 36 1995 Spatially homogeneous random evolutions. Zbl 0439.60051Dawson, Donald A.; Salehi, Habib 33 1980 The carrying dimension of a stochastic measure diffusion. Zbl 0411.60084Dawson, Donald A.; Hochberg, Kenneth J. 31 1979 Wandering random measures in the Fleming-Viot model. Zbl 0492.60045Dawson, Donald A.; Hochberg, Kenneth J. 28 1982 A continuous super-Brownian motion in a super-Brownian medium. Zbl 0877.60030Dawson, Donald A.; Fleischmann, Klaus 26 1997 Nonlocal branching superprocesses and some related models. Zbl 1014.60052Dawson, Donald A.; Gorostiza, Luis G.; Li, Zenghu 25 2002 Geostochastic calculus. Zbl 0399.60047Dawson, D. A. 24 1978 A super-Brownian motion with a single point catalyst. Zbl 0796.60087Dawson, Donald A.; Fleischmann, Klaus 24 1994 Occupation time fluctuations in branching systems. Zbl 0991.60095Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A. 23 2001 A random wave process. Zbl 0564.60061Dawson, D. A.; Papanicolaou, G. C. 22 1984 Generalized solutions of a class of nuclear-space-valued stochastic evolution equations. Zbl 0714.60048Dawson, Donald A.; Gorostiza, Luis G. 20 1990 Long-time behavior and coexistence in a mutually catalytic branching model. Zbl 0938.60042Dawson, Donald A.; Perkins, Edwin A. 20 1998 Law of large numbers and central limit theorem for unbounded jump mean- field models. Zbl 0751.60080Dawson, D. A.; Zheng, X. 19 1991 Superprocesses with dependent spatial motion and general branching densities. Zbl 1008.60093Dawson, Donald A.; Li, Zenghu; Wang, Hao 19 2001 Large deviations, free energy functional and quasi-potential for a mean field model of interacting diffusions. Zbl 0677.60106Dawson, D. A.; Gärtner, J. 18 1989 Strong clumping of critical space-time branching models in subcritical dimensions. Zbl 0678.60040Dawson, Donald A.; Fleischmann, Klaus 17 1988 Stable hydrodynamic limit fluctuations of a critical branching particle system in a random medium. Zbl 0694.60078Dawson, Donald A.; Fleischmann, Klaus; Gorostiza, Luis G. 17 1989 Critical branching in a highly fluctuating random medium. Zbl 0735.60087Dawson, Donald A.; Fleischmann, Klaus 16 1991 Generalized Mehler semigroups and catalytic branching processes with immigration. Zbl 1057.60074Dawson, Donald A.; Li, Zenghu; Schmuland, Byron; Sun, Wei 16 2004 Branching diffusions and random measures. Zbl 0407.60087Dawson, Donald A.; Ivanoff, G. 16 1978 Equilibria and quasi-equilibria for infinite collections of interacting Fleming-Viot processes. Zbl 0831.60102Dawson, Donald A.; Greven, Andreas; Vaillancourt, Jean 15 1995 Hierarchical models of interacting diffusions: Multiple time scale phenomena, phase transition and pattern of cluster-formation. Zbl 0794.60101Dawson, Donald A.; Greven, Andreas 15 1993 Multilevel large deviations and interacting diffusions. Zbl 0794.60015Dawson, D. A.; Gärtner, J. 15 1994 Construction of immigration superprocesses with dependent spatial motion from one-dimensional excursions. Zbl 1038.60082Dawson, Donald A.; Li, Zenghu 15 2003 Large deviation for the Fleming-Viot process with neutral mutation and selection. Zbl 0934.60024Dawson, Donald A.; Feng, Shui 15 1998 Large deviations for the Fleming-Viot process with neutral mutation and selection. II. Zbl 1047.60020Dawson, Donald A.; Feng, Shui 15 2001 Stochastic partial differential equations for a class of interacting measure-valued diffusions. Zbl 0973.60077Dawson, D. A.; Vaillancourt, J.; Wang, H. 15 2000 Schrödinger processes and large deviations. Zbl 0736.60071Dawson, Donald A.; Gorostiza, L.; Wakolbinger, A. 13 1990 Multiple time scale analysis of interacting diffusions. Zbl 0791.60094Dawson, Donald; Greven, Andreas 13 1993 Asymptotic behavior of the Poisson-Dirichlet distribution for large mutation rate. Zbl 1119.92046Dawson, Donald A.; Feng, Shui 12 2006 Resolvent estimates for Fleming-Viot operators and uniqueness of solutions to related martingale problems. Zbl 0853.60043Dawson, Donald A.; March, Peter 12 1995 Measure-valued processes and renormalization of branching particle systems. Zbl 0934.60078Dawson, Donald A.; Perkins, Edwin A. 12 1999 Catalytic and mutually catalytic branching. Zbl 0983.92036Dawson, Donald A.; Fleischmann, Klaus 11 2000 Critical dimension for a model of branching in a random medium. Zbl 0554.60068Dawson, Donald A.; Fleischmann, Klaus 11 1985 Infinitely divisible random measures. Zbl 0785.60034Dawson, Donald A. 11 1992 Synchronous and asynchronous reversible Markov systems. Zbl 0311.60027Dawson, D. A. 10 1975 Diffusion and reaction caused by point catalysts. Zbl 0781.35026Dawson, Donald A.; Fleischmann, Klaus 9 1992 Multilevel mutation-selection systems and set-valued duals. Zbl 1391.92029Dawson, Donald A. 9 2018 Absolute continuity of the measure states in a branching model with catalysts. Zbl 0724.60089Dawson, Donald A.; Fleischmann, Klaus; Roelly, Sylvie 9 1991 Spatial Fleming-Viot models with selection and mutation. Zbl 1295.92008Dawson, Donald A.; Greven, Andreas 9 2014 Almost-sure path properties of \((2,d,\beta)\)-superprocesses. Zbl 0810.60028Dawson, Donald A.; Vinogradov, Vladimir 9 1994 *-solutions of evolution equations in Hilbert space. Zbl 0613.34048Dawson, D. A.; Gorostiza, L. G. 9 1987 Multiple space-time scale analysis for interacting branching models. Zbl 0890.60093Dawson, Donald A.; Greven, Andreas 9 1996 Longtime behavior of a branching process controlled by branching catalysts. Zbl 0942.60073Dawson, Donald A.; Fleischmann, Klaus 9 1997 Hierarchically interacting Fleming-Viot processes with selection and mutation: Multiple space time scale analysis and quasi-equilibria. Zbl 0920.92016Dawson, Donald A.; Greven, Andreas 9 1999 Super-Brownian motions in higher dimensions with absolutely continuous measure states. Zbl 0820.60032Dawson, Donald A.; Fleischmann, Klaus 8 1995 Long-time fluctuations of weakly interacting diffusions. Zbl 0627.60105Dawson, D. A.; Gärtner, J. 8 1987 Estimation of dimension for spatially distributed data and related limit theorems. Zbl 0688.62036Cutler, C. D.; Dawson, D. A. 8 1989 Mutually catalytic super branching random walks: Large finite systems and renormalization analysis. Zbl 1063.60143Cox, J. T.; Dawson, D. A.; Greven, A. 8 2004 Degrees of transience and recurrence and hierarchical random walks. Zbl 1075.60043Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A. 8 2005 Nearest-neighbor analysis of a family of fractal distributions. Zbl 0715.60024Cutler, Colleen D.; Dawson, Donald A. 7 1990 A multilevel branching model. Zbl 0737.60070Dawson, D. A.; Hochberg, K. J. 7 1991 Mutually catalytic branching in the plane: Infinite measure states. Zbl 1016.60075Dawson, Donald A.; Etheridge, Alison M.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie 7 2002 High-density limits of hierarchically structured branching-diffusing populations. Zbl 0863.60031Dawson, D. A.; Hochberg, K. J.; Vinogradov, V. 7 1996 Catalytic and mutually catalytic super-Brownian motions. Zbl 1030.60091Dawson, D. A.; Fleischmann, K. 7 2002 Qualitative behavior of geostochastic systems. Zbl 0444.92014Dawson, Donald A. 7 1980 Applications of duality to measure-valued diffusion processes. Zbl 0496.60057Dawson, Donald A.; Kurtz, Thomas G. 7 1982 Equivalence of Markov processes. Zbl 0159.46701Dawson, D. A. 7 1968 Strong uniqueness for cyclically symbiotic branching diffusions. Zbl 1069.60087Dawson, Donald A.; Fleischmann, Klaus; Xiong, Jie 6 2005 Finite time extinction of superprocesses with catalysts. Zbl 1044.60073Dawson, Donald A.; Fleischmann, Klaus; Mueller, Carl 6 2000 Superprocesses at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1541 (1993) and 1781 (2002). Zbl 1245.60002Dawson, Donald A.; Perkins, Edwin 6 2012 Percolation in a hierarchical random graph. Zbl 1328.60210Dawson, D. A.; Gorostiza, L. G. 6 2007 Limit theorems for supercritical branching random fields. Zbl 0553.60073Dawson, Donald A.; Gorostiza, Luis G. 6 1984 Non-differentiable skew convolution semigroups and related Ornstein-Uhlenbeck processes. Zbl 1037.60071Dawson, Donald A.; Li, Zenghu 6 2004 Hierarchical equilibria of branching populations. Zbl 1076.60073Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A. 6 2004 Balancing queues by mean field interaction. Zbl 1080.90026Dawson, Donald A.; Tang, Jiashan; Zhao, Yiqiang Q. 6 2005 Mutually catalytic branching in the plane: Uniqueness. Zbl 1016.60091Dawson, Donald A.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie 5 2003 Percolation in an ultrametric space. Zbl 1282.05196Dawson, Donald A.; Gorostiza, Luis G. 5 2013 A degenerate stochastic partial differential equation for the purely atomic superprocess with dependent spatial motion. Zbl 1044.60079Dawson, Donald A.; Li, Zenghu; Wang, Hao 5 2003 Superprocesses with coalescing Brownian spatial motion as large-scale limits. Zbl 1067.60085Dawson, D. A.; Li, Z.; Zhou, X. 5 2004 The renormalization transformation for two-type branching models. Zbl 1181.60122Dawson, D. A.; Greven, A.; den Hollander, F.; Sun, Rongfeng; Swart, J. M. 5 2008 A limit theorem for Brownian motion in a random scenery. Zbl 0755.60062Remillard, Bruno; Dawson, Donald A. 4 1991 On the uniqueness problem for catalytic branching networks and other singular diffusions. Zbl 1107.60045Dawson, D. A.; Perkins, E. A. 4 2006 Mutually catalytic branching in the plane: Finite measure states. Zbl 1017.60098Dawson, Donald A.; Etheridge, Alison M.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie 4 2002 Large deviations and tunnelling for particle systems with mean field interaction. Zbl 0613.60020Dawson, D. A.; Gärtner, J. 4 1986 Information flow in discrete Markov systems. Zbl 0259.60050Dawson, D. A. 4 1973 On spatially homogeneous branching processes in a random environment. Zbl 0533.60091Dawson, Donald; Fleischmann, Klaus 4 1983 Multiple time scale analysis of hierarchically interacting systems. Zbl 0785.60046Dawson, Donald A.; Greven, Andreas 4 1993 Hierarchical random walks. Zbl 1068.60071Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A. 4 2004 Limit theorems for interaction free geostochastic systems. Zbl 0463.60051Dawson, D. A. 4 1981 Multilevel branching systems. Zbl 0817.60087Dawson, D. A.; Hochberg, K. J.; Wu, Y. 3 1990 On path properties of super-2 processes. II. Zbl 0821.60041Dawson, Donald A.; Hochberg, Kenneth J.; Vinogradov, Vladimir 3 1995 Super-Brownian motions in catalytic media. Zbl 0823.60044Dawson, Donald A.; Fleischmann, Klaus; Le Gall, Jean-François 3 1995 Singularity of super-Brownian local time at a point catalyst. Zbl 0830.60079Dawson, Donald A.; Fleischmann, Klaus; Li, Yi; Mueller, Carl 3 1995 Generalized stochastic integrals and equations. Zbl 0199.52402Dawson, D. A. 3 1970 A critical measure-valued branching process with infinite mean. Zbl 0588.60087Dawson, D. A.; Fleischmann, K.; Foley, R. D.; Peletier, L. A. 3 1986 Continuous dependence of a class of superprocesses on branching parameters and applications. Zbl 0938.60078Dawson, Donald A.; Fleischmann, Klaus; Leduc, Guillaume 3 1998 The support of measure-valued branching processes in a random environment. Zbl 0853.60065Dawson, Donald A.; Li, Y.; Mueller, C. 3 1995 Invariance principles for parabolic equations with random coefficients. Zbl 0894.60055Dawson, Donald A.; Kouritzin, Michael A. 3 1997 Information flow in one-dimensional Markov systems. Zbl 0322.60060Dawson, D. A. 3 1974 Multilevel mutation-selection systems and set-valued duals. Zbl 1391.92029Dawson, Donald A. 9 2018 Transience and recurrence of random walks on percolation clusters in an ultrametric space. Zbl 1384.05139Dawson, D. A.; Gorostiza, L. G. 2 2018 Kernel method for stationary tails: from discrete to continuous. Zbl 1368.60048Dai, Hongshuai; Dawson, Donald A.; Zhao, Yiqiang Q. 2 2015 Spatial Fleming-Viot models with selection and mutation. Zbl 1295.92008Dawson, Donald A.; Greven, Andreas 9 2014 Percolation in an ultrametric space. Zbl 1282.05196Dawson, Donald A.; Gorostiza, Luis G. 5 2013 Stochastic equations, flows and measure-valued processes. Zbl 1254.60088Dawson, Donald A.; Li, Zenghu 60 2012 Superprocesses at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1541 (1993) and 1781 (2002). Zbl 1245.60002Dawson, Donald A.; Perkins, Edwin 6 2012 Multiscale analysis: Fisher-Wright diffusions with rare mutations and selection, logistic branching system. Zbl 1408.60080Dawson, Donald A.; Greven, Andreas 1 2012 The renormalization transformation for two-type branching models. Zbl 1181.60122Dawson, D. A.; Greven, A.; den Hollander, F.; Sun, Rongfeng; Swart, J. M. 5 2008 Percolation in a hierarchical random graph. Zbl 1328.60210Dawson, D. A.; Gorostiza, L. G. 6 2007 Skew convolution semigroups and affine Markov processes. Zbl 1102.60065Dawson, D. A.; Li, Zenghu 59 2006 Asymptotic behavior of the Poisson-Dirichlet distribution for large mutation rate. Zbl 1119.92046Dawson, Donald A.; Feng, Shui 12 2006 On the uniqueness problem for catalytic branching networks and other singular diffusions. Zbl 1107.60045Dawson, D. A.; Perkins, E. A. 4 2006 Degrees of transience and recurrence and hierarchical random walks. Zbl 1075.60043Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A. 8 2005 Strong uniqueness for cyclically symbiotic branching diffusions. Zbl 1069.60087Dawson, Donald A.; Fleischmann, Klaus; Xiong, Jie 6 2005 Balancing queues by mean field interaction. Zbl 1080.90026Dawson, Donald A.; Tang, Jiashan; Zhao, Yiqiang Q. 6 2005 Generalized Mehler semigroups and catalytic branching processes with immigration. Zbl 1057.60074Dawson, Donald A.; Li, Zenghu; Schmuland, Byron; Sun, Wei 16 2004 Mutually catalytic super branching random walks: Large finite systems and renormalization analysis. Zbl 1063.60143Cox, J. T.; Dawson, D. A.; Greven, A. 8 2004 Non-differentiable skew convolution semigroups and related Ornstein-Uhlenbeck processes. Zbl 1037.60071Dawson, Donald A.; Li, Zenghu 6 2004 Hierarchical equilibria of branching populations. Zbl 1076.60073Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A. 6 2004 Superprocesses with coalescing Brownian spatial motion as large-scale limits. Zbl 1067.60085Dawson, D. A.; Li, Z.; Zhou, X. 5 2004 Hierarchical random walks. Zbl 1068.60071Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A. 4 2004 Construction of immigration superprocesses with dependent spatial motion from one-dimensional excursions. Zbl 1038.60082Dawson, Donald A.; Li, Zenghu 15 2003 Mutually catalytic branching in the plane: Uniqueness. Zbl 1016.60091Dawson, Donald A.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie 5 2003 A degenerate stochastic partial differential equation for the purely atomic superprocess with dependent spatial motion. Zbl 1044.60079Dawson, Donald A.; Li, Zenghu; Wang, Hao 5 2003 State dependent multitype spatial branching processes and their longtime behavior. Zbl 1076.60084Dawson, Donald A.; Greven, Andreas 2 2003 Nonlocal branching superprocesses and some related models. Zbl 1014.60052Dawson, Donald A.; Gorostiza, Luis G.; Li, Zenghu 25 2002 Mutually catalytic branching in the plane: Infinite measure states. Zbl 1016.60075Dawson, Donald A.; Etheridge, Alison M.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie 7 2002 Catalytic and mutually catalytic super-Brownian motions. Zbl 1030.60091Dawson, D. A.; Fleischmann, K. 7 2002 Mutually catalytic branching in the plane: Finite measure states. Zbl 1017.60098Dawson, Donald A.; Etheridge, Alison M.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie 4 2002 Strong clumping of super-Brownian motion in a stable catalytic medium. Zbl 1029.60088Dawson, Donald A.; Fleischmann, Klaus; Mörters, Peter 2 2002 Occupation time fluctuations in branching systems. Zbl 0991.60095Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A. 23 2001 Superprocesses with dependent spatial motion and general branching densities. Zbl 1008.60093Dawson, Donald A.; Li, Zenghu; Wang, Hao 19 2001 Large deviations for the Fleming-Viot process with neutral mutation and selection. II. Zbl 1047.60020Dawson, Donald A.; Feng, Shui 15 2001 Stochastic partial differential equations for a class of interacting measure-valued diffusions. Zbl 0973.60077Dawson, D. A.; Vaillancourt, J.; Wang, H. 15 2000 Catalytic and mutually catalytic branching. Zbl 0983.92036Dawson, Donald A.; Fleischmann, Klaus 11 2000 Finite time extinction of superprocesses with catalysts. Zbl 1044.60073Dawson, Donald A.; Fleischmann, Klaus; Mueller, Carl 6 2000 Stochastic models of evolving information systems. Zbl 0951.60090Dawson, Donald A. 2 2000 Measure-valued processes and renormalization of branching particle systems. Zbl 0934.60078Dawson, Donald A.; Perkins, Edwin A. 12 1999 Hierarchically interacting Fleming-Viot processes with selection and mutation: Multiple space time scale analysis and quasi-equilibria. Zbl 0920.92016Dawson, Donald A.; Greven, Andreas 9 1999 The dynamic behaviour of flexible semi-trailers on board Ro-Ro ship. Zbl 0941.70509Turnbull, S. R.; Dawson, D. 1 1999 Long-time behavior and coexistence in a mutually catalytic branching model. Zbl 0938.60042Dawson, Donald A.; Perkins, Edwin A. 20 1998 Large deviation for the Fleming-Viot process with neutral mutation and selection. Zbl 0934.60024Dawson, Donald A.; Feng, Shui 15 1998 Continuous dependence of a class of superprocesses on branching parameters and applications. Zbl 0938.60078Dawson, Donald A.; Fleischmann, Klaus; Leduc, Guillaume 3 1998 Analytic aspects of multilevel large deviations. Zbl 0931.60068Dawson, D. A.; Gärtner, J. 3 1998 A continuous super-Brownian motion in a super-Brownian medium. Zbl 0877.60030Dawson, Donald A.; Fleischmann, Klaus 26 1997 Longtime behavior of a branching process controlled by branching catalysts. Zbl 0942.60073Dawson, Donald A.; Fleischmann, Klaus 9 1997 Invariance principles for parabolic equations with random coefficients. Zbl 0894.60055Dawson, Donald A.; Kouritzin, Michael A. 3 1997 Multilevel multitype branching models of an information system. Zbl 0870.60093Dawson, D. A.; Wu, Y. 2 1997 Hierarchical and mean-field stepping stone models. Zbl 0897.60071Dawson, D. A. 1 1997 Multiple space-time scale analysis for interacting branching models. Zbl 0890.60093Dawson, Donald A.; Greven, Andreas 9 1996 High-density limits of hierarchically structured branching-diffusing populations. Zbl 0863.60031Dawson, D. A.; Hochberg, K. J.; Vinogradov, V. 7 1996 On weak convergence of branching particle systems undergoing spatial motion. Zbl 0866.60026Dawson, Donald A.; Hochberg, Kenneth J.; Vinogradov, Vladimir 2 1996 The Wiener process revisited. Zbl 0965.60082Dawson, Donald A.; Hochberg, Kenneth J.; Vinogradov, Vladimir 1 1996 Stochastic McKean-Vlasov equations. Zbl 0830.60091Dawson, Donald; Vaillancourt, Jean 36 1995 Equilibria and quasi-equilibria for infinite collections of interacting Fleming-Viot processes. Zbl 0831.60102Dawson, Donald A.; Greven, Andreas; Vaillancourt, Jean 15 1995 Resolvent estimates for Fleming-Viot operators and uniqueness of solutions to related martingale problems. Zbl 0853.60043Dawson, Donald A.; March, Peter 12 1995 Super-Brownian motions in higher dimensions with absolutely continuous measure states. Zbl 0820.60032Dawson, Donald A.; Fleischmann, Klaus 8 1995 On path properties of super-2 processes. II. Zbl 0821.60041Dawson, Donald A.; Hochberg, Kenneth J.; Vinogradov, Vladimir 3 1995 Super-Brownian motions in catalytic media. Zbl 0823.60044Dawson, Donald A.; Fleischmann, Klaus; Le Gall, Jean-François 3 1995 Singularity of super-Brownian local time at a point catalyst. Zbl 0830.60079Dawson, Donald A.; Fleischmann, Klaus; Li, Yi; Mueller, Carl 3 1995 The support of measure-valued branching processes in a random environment. Zbl 0853.60065Dawson, Donald A.; Li, Y.; Mueller, C. 3 1995 Interaction and hierarchy in measure-valued processes. Zbl 0853.60044Dawson, Donald 1 1995 A super-Brownian motion with a single point catalyst. Zbl 0796.60087Dawson, Donald A.; Fleischmann, Klaus 24 1994 Multilevel large deviations and interacting diffusions. Zbl 0794.60015Dawson, D. A.; Gärtner, J. 15 1994 Almost-sure path properties of \((2,d,\beta)\)-superprocesses. Zbl 0810.60028Dawson, Donald A.; Vinogradov, Vladimir 9 1994 On path properties of super-2 processes. I. Zbl 0824.60089Dawson, Donald A.; Hochberg, Kenneth J.; Vinogradov, Vladimir 2 1994 Measure-valued Markov processes. Zbl 0799.60080Dawson, Donald A. 198 1993 Hierarchical models of interacting diffusions: Multiple time scale phenomena, phase transition and pattern of cluster-formation. Zbl 0794.60101Dawson, Donald A.; Greven, Andreas 15 1993 Multiple time scale analysis of interacting diffusions. Zbl 0791.60094Dawson, Donald; Greven, Andreas 13 1993 Multiple time scale analysis of hierarchically interacting systems. Zbl 0785.60046Dawson, Donald A.; Greven, Andreas 4 1993 Infinitely divisible random measures. Zbl 0785.60034Dawson, Donald A. 11 1992 Diffusion and reaction caused by point catalysts. Zbl 0781.35026Dawson, Donald A.; Fleischmann, Klaus 9 1992 Historical processes. Zbl 0754.60062Dawson, Donald A.; Perkins, Edwin A. 75 1991 Law of large numbers and central limit theorem for unbounded jump mean- field models. Zbl 0751.60080Dawson, D. A.; Zheng, X. 19 1991 Critical branching in a highly fluctuating random medium. Zbl 0735.60087Dawson, Donald A.; Fleischmann, Klaus 16 1991 Absolute continuity of the measure states in a branching model with catalysts. Zbl 0724.60089Dawson, Donald A.; Fleischmann, Klaus; Roelly, Sylvie 9 1991 A multilevel branching model. Zbl 0737.60070Dawson, D. A.; Hochberg, K. J. 7 1991 A limit theorem for Brownian motion in a random scenery. Zbl 0755.60062Remillard, Bruno; Dawson, Donald A. 4 1991 Generalized solutions of a class of nuclear-space-valued stochastic evolution equations. Zbl 0714.60048Dawson, Donald A.; Gorostiza, Luis G. 20 1990 Schrödinger processes and large deviations. Zbl 0736.60071Dawson, Donald A.; Gorostiza, L.; Wakolbinger, A. 13 1990 Nearest-neighbor analysis of a family of fractal distributions. Zbl 0715.60024Cutler, Colleen D.; Dawson, Donald A. 7 1990 Multilevel branching systems. Zbl 0817.60087Dawson, D. A.; Hochberg, K. J.; Wu, Y. 3 1990 Super-Brownian motion: Path properties and hitting probabilities. Zbl 0692.60063Dawson, D. A.; Iscoe, I.; Perkins, E. A. 65 1989 Large deviations, free energy functional and quasi-potential for a mean field model of interacting diffusions. Zbl 0677.60106Dawson, D. A.; Gärtner, J. 18 1989 Stable hydrodynamic limit fluctuations of a critical branching particle system in a random medium. Zbl 0694.60078Dawson, Donald A.; Fleischmann, Klaus; Gorostiza, Luis G. 17 1989 Estimation of dimension for spatially distributed data and related limit theorems. Zbl 0688.62036Cutler, C. D.; Dawson, D. A. 8 1989 Laws of the iterated logarithm and large deviations for a class of diffusion processes. Zbl 0694.60025Remillard, Bruno; Dawson, Donald A. 2 1989 A stochastic explosive reaction system with sampling. Zbl 0679.60074Dawson, Donald A.; Fleischmann, Klaus 1 1989 Strong clumping of critical space-time branching models in subcritical dimensions. Zbl 0678.60040Dawson, Donald A.; Fleischmann, Klaus 17 1988 Long time behaviour of interacting diffusions. Zbl 0668.60067Dawson, D. A.; Gärtner, J. 2 1988 Sample path properties of the support process of super-Brownian motion. Zbl 0644.60089Dawson, D. A.; Iscoe, I.; Perkins, E. A. 1 1988 Large deviations from the McKean-Vlasov limit for weakly interacting diffusions. Zbl 0613.60021Dawson, Donald A.; Gärtner, Jürgen 154 1987 *-solutions of evolution equations in Hilbert space. Zbl 0613.34048Dawson, D. A.; Gorostiza, L. G. 9 1987 Long-time fluctuations of weakly interacting diffusions. Zbl 0627.60105Dawson, D. A.; Gärtner, J. 8 1987 Stochastic models of parallel systems for global optimization. Zbl 0648.60104Dawson, D. A. 1 1987 Large deviations and tunnelling for particle systems with mean field interaction. Zbl 0613.60020Dawson, D. A.; Gärtner, J. 4 1986 A critical measure-valued branching process with infinite mean. Zbl 0588.60087Dawson, D. A.; Fleischmann, K.; Foley, R. D.; Peletier, L. A. 3 1986 Critical dimension for a model of branching in a random medium. Zbl 0554.60068Dawson, Donald A.; Fleischmann, Klaus 11 1985 Asymptotic analysis of multilevel stochastic systems. Zbl 0558.60054Dawson, Donald A. 1 1985 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,052 Authors 48 Dawson, Donald Andrew 37 Li, Zenghu 28 Xiong, Jie 27 Fleischmann, Klaus 27 Gorostiza, Luis G. 22 Greven, Andreas 19 Mytnik, Leonid 17 Perkins, Edwin A. 17 Ren, Yanxia 16 Bojdecki, Tomasz 16 Feng, Shui 15 Klenke, Achim 13 Garnier, Josselin 13 Le Gall, Jean-François 13 Sølna, Knut 13 Zhou, Xiaowen 11 Dynkin, Evgeniĭ Borisovich 11 He, Hui 11 Müller, Carl E. 11 Song, Renming 11 Wang, Hao 10 den Hollander, Frank 10 Talarczyk, Anna 10 Wakolbinger, Anton 9 Hong, Wenming 9 Ma, Chunhua 9 Xiang, Kai-Nan 9 Zhang, Mei 8 Etheridge, Alison Mary 8 Kotelenez, Peter M. 8 Kurtz, Thomas Gordon 8 McKibben, Mark Anthony 8 Pardoux, Etienne 8 Peletier, Mark Adriaan 8 Yang, Xu 7 Cox, J. Theodore 7 Engländer, János 7 Evans, Steven Neil 7 Pap, Gyula 7 Vaillancourt, Jean 6 Barczy, Mátyás 6 Kallenberg, Olav 6 Swart, Jan M. 6 Tran, Viet Chi 6 Tribe, Roger P. 5 Athreya, Siva R. 5 Budhiraja, Amarjit S. 5 Burdzy, Krzysztof 5 da Silva, Telles Timóteo 5 Delarue, François 5 Döring, Leif 5 Fragoso, Marcelo Dutra 5 Gao, Fuqing 5 Iscoe, Ian 5 Ji, Lina 5 Kolokoltsov, Vassili N. 5 Kuznetsov, Sergei E. 5 Kyprianou, Andreas E. 5 Léonard, Christian 5 Lin, Zhengyan 5 López-Mimbela, José Alfredo 5 Ma, Rugang 5 Méléard, Sylvie 5 Pardo, Juan Carlos 5 Pavon, Michele 5 Pfaffelhuber, Peter 5 Pinsky, Ross George 5 Prékopa, András 5 Rüdiger, Barbara 5 Ryzhik, Lenya 5 Schied, Alexander 5 Vinogradov, Vladimir Vladimirovich 5 Wang, Li 5 Zabczyk, Jerzy 4 Adler, Robert Joseph 4 Bal, Guillaume 4 Bansaye, Vincent 4 Beznea, Lucian 4 Bocharov, Sergey S. 4 Bogachev, Vladimir Igorevich 4 Carlier, Guillaume 4 Chen, Yongxin 4 Chen, Zhen-Qing 4 Da Prato, Giuseppe 4 Dai Pra, Paolo 4 Dalang, Robert C. 4 Delmas, Jean-François 4 Deuschel, Jean-Dominique 4 Dunlap, Alexander 4 Feng, Jin 4 Fontbona, Joaquin 4 Foucart, Clément 4 Friesen, Martin 4 Frolov, Andreĭ Nikolaevich 4 Gärtner, Jürgen 4 Gu, Yu 4 Guionnet, Alice 4 Hochberg, Kenneth J. 4 Jin, Peng 4 Kliem, Sandra M. ...and 952 more Authors all top 5 Cited in 220 Serials 163 Stochastic Processes and their Applications 97 The Annals of Probability 95 Probability Theory and Related Fields 48 The Annals of Applied Probability 38 Statistics & Probability Letters 27 Stochastic Analysis and Applications 25 Journal of Statistical Physics 25 Journal of Theoretical Probability 21 Electronic Journal of Probability 19 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 16 Journal of Applied Probability 16 Acta Applicandae Mathematicae 14 Advances in Applied Probability 14 Journal of Functional Analysis 13 Transactions of the American Mathematical Society 13 Infinite Dimensional Analysis, Quantum Probability and Related Topics 12 Science in China. Series A 11 Journal of Mathematical Analysis and Applications 10 Science China. Mathematics 9 Journal of Multivariate Analysis 9 Potential Analysis 8 Journal of Differential Equations 8 Bernoulli 7 Communications in Mathematical Physics 7 Applied Mathematics and Optimization 7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 7 Stochastics and Stochastics Reports 7 Acta Mathematica Sinica. English Series 7 Stochastics and Dynamics 6 Journal of Mathematical Biology 6 Stochastics 6 Electronic Communications in Probability 6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 6 ALEA. 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(English Edition) 4 Proceedings of the Steklov Institute of Mathematics 4 Mathematical Control and Related Fields 4 Stochastic and Partial Differential Equations. Analysis and Computations 3 The Canadian Journal of Statistics 3 Discrete Mathematics 3 Nonlinearity 3 Wave Motion 3 Theory of Probability and its Applications 3 Journal of Computational and Applied Mathematics 3 Journal of Optimization Theory and Applications 3 Journal of Soviet Mathematics 3 SIAM Journal on Control and Optimization 3 Theoretical Population Biology 3 Advances in Applied Mathematics 3 Queueing Systems 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Chinese Science Bulletin 3 Bulletin des Sciences Mathématiques 3 Discrete and Continuous Dynamical Systems. Series B 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Rocky Mountain Journal of Mathematics 2 Bulletin of Mathematical Biology 2 Applied Mathematics and Computation 2 Inventiones Mathematicae 2 Mathematics of Operations Research 2 Memoirs of the American Mathematical Society 2 Nagoya Mathematical Journal 2 Systems & Control Letters 2 Insurance Mathematics & Economics 2 Operations Research Letters 2 Statistics 2 Journal of Applied Mathematics and Stochastic Analysis 2 Communications in Statistics. Simulation and Computation 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 SIAM Review 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Applied Mathematics. Series B (English Edition) 2 Calculus of Variations and Partial Differential Equations 2 Theory of Probability and Mathematical Statistics 2 Random Operators and Stochastic Equations 2 Applied Mathematical Finance 2 Electronic Research Announcements of the American Mathematical Society 2 Finance and Stochastics 2 Mathematical Finance 2 Abstract and Applied Analysis ...and 120 more Serials all top 5 Cited in 43 Fields 1,037 Probability theory and stochastic processes (60-XX) 169 Partial differential equations (35-XX) 101 Biology and other natural sciences (92-XX) 90 Statistical mechanics, structure of matter (82-XX) 45 Statistics (62-XX) 45 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 39 Systems theory; control (93-XX) 33 Operations research, mathematical programming (90-XX) 27 Numerical analysis (65-XX) 26 Operator theory (47-XX) 23 Dynamical systems and ergodic theory (37-XX) 20 Measure and integration (28-XX) 16 Fluid mechanics (76-XX) 14 Functional analysis (46-XX) 14 Computer science (68-XX) 13 Ordinary differential equations (34-XX) 11 Information and communication theory, circuits (94-XX) 10 Combinatorics (05-XX) 10 Mechanics of deformable solids (74-XX) 10 Quantum theory (81-XX) 8 Potential theory (31-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of particles and systems (70-XX) 4 Integral equations (45-XX) 3 Real functions (26-XX) 3 Difference and functional equations (39-XX) 3 Optics, electromagnetic theory (78-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-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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