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## Dawson, Donald Andrew

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 Author ID: dawson.donald-a Published as: Dawson, Donald A.; Dawson, D. A.; Dawson, Donald; Dawson, D. Homepage: http://people.math.carleton.ca/~ddawson/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef
 Documents Indexed: 161 Publications since 1964, including 12 Books Reviewing Activity: 58 Reviews Biographic References: 2 Publications
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#### 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 4 Vaillancourt, Jean 4 Wang, Hao 4 Xiong, Jie 3 Müller, Carl E. 3 Mytnik, Leonid 3 Zhao, Yiqiang Q. 2 Cutler, Colleen D. 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 Dai, Hongshuai 1 Foley, Robert D. 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 Zhao, Yiqiang 1 Zhou, Xiaowen
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#### 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 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
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#### Fields

 149 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)

#### Citations contained in zbMATH Open

130 Publications have been cited 1,683 times in 1,029 Documents Cited by Year
Measure-valued Markov processes. Zbl 0799.60080
Dawson, Donald A.
1993
Large deviations from the McKean-Vlasov limit for weakly interacting diffusions. Zbl 0613.60021
Dawson, Donald A.; Gärtner, Jürgen
1987
Stochastic evolution equations and related measure processes. Zbl 0299.60050
Dawson, D. A.
1975
Historical processes. Zbl 0754.60062
Dawson, Donald A.; Perkins, Edwin A.
1991
Super-Brownian motion: Path properties and hitting probabilities. Zbl 0692.60063
Dawson, D. A.; Iscoe, I.; Perkins, E. A.
1989
The critical measure diffusion process. Zbl 0343.60001
Dawson, D. A.
1977
Skew convolution semigroups and affine Markov processes. Zbl 1102.60065
Dawson, D. A.; Li, Zenghu
2006
Stochastic evolution equations. Zbl 0251.60040
Dawson, D. A.
1972
Stochastic equations, flows and measure-valued processes. Zbl 1254.60088
Dawson, Donald A.; Li, Zenghu
2012
An inequality for probabilities. Zbl 0154.19401
Dawson, D. A.; Sankoff, D.
1967
Spatially homogeneous random evolutions. Zbl 0439.60051
Dawson, Donald A.; Salehi, Habib
1980
The carrying dimension of a stochastic measure diffusion. Zbl 0411.60084
Dawson, Donald A.; Hochberg, Kenneth J.
1979
Stochastic McKean-Vlasov equations. Zbl 0830.60091
Dawson, Donald; Vaillancourt, Jean
1995
A continuous super-Brownian motion in a super-Brownian medium. Zbl 0877.60030
Dawson, Donald A.; Fleischmann, Klaus
1997
Wandering random measures in the Fleming-Viot model. Zbl 0492.60045
Dawson, Donald A.; Hochberg, Kenneth J.
1982
A super-Brownian motion with a single point catalyst. Zbl 0796.60087
Dawson, Donald A.; Fleischmann, Klaus
1994
Occupation time fluctuations in branching systems. Zbl 0991.60095
Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A.
2001
A random wave process. Zbl 0564.60061
Dawson, D. A.; Papanicolaou, G. C.
1984
Generalized solutions of a class of nuclear-space-valued stochastic evolution equations. Zbl 0714.60048
Dawson, Donald A.; Gorostiza, Luis G.
1990
Geostochastic calculus. Zbl 0399.60047
Dawson, D. A.
1978
Superprocesses with dependent spatial motion and general branching densities. Zbl 1008.60093
Dawson, Donald A.; Li, Zenghu; Wang, Hao
2001
Law of large numbers and central limit theorem for unbounded jump mean- field models. Zbl 0751.60080
Dawson, D. A.; Zheng, X.
1991
Long-time behavior and coexistence in a mutually catalytic branching model. Zbl 0938.60042
Dawson, Donald A.; Perkins, Edwin A.
1998
Stable hydrodynamic limit fluctuations of a critical branching particle system in a random medium. Zbl 0694.60078
Dawson, Donald A.; Fleischmann, Klaus; Gorostiza, Luis G.
1989
Nonlocal branching superprocesses and some related models. Zbl 1014.60052
Dawson, Donald A.; Gorostiza, Luis G.; Li, Zenghu
2002
Strong clumping of critical space-time branching models in subcritical dimensions. Zbl 0678.60040
Dawson, Donald A.; Fleischmann, Klaus
1988
Critical branching in a highly fluctuating random medium. Zbl 0735.60087
Dawson, Donald A.; Fleischmann, Klaus
1991
Branching diffusions and random measures. Zbl 0407.60087
Dawson, Donald A.; Ivanoff, G.
1978
Large deviations, free energy functional and quasi-potential for a mean field model of interacting diffusions. Zbl 0677.60106
Dawson, D. A.; Gärtner, J.
1989
Generalized Mehler semigroups and catalytic branching processes with immigration. Zbl 1057.60074
Dawson, Donald A.; Li, Zenghu; Schmuland, Byron; Sun, Wei
2004
Large deviation for the Fleming-Viot process with neutral mutation and selection. Zbl 0934.60024
Dawson, Donald A.; Feng, Shui
1998
Multilevel large deviations and interacting diffusions. Zbl 0794.60015
Dawson, D. A.; Gärtner, J.
1994
Large deviations for the Fleming-Viot process with neutral mutation and selection. II. Zbl 1047.60020
Dawson, Donald A.; Feng, Shui
2001
Stochastic partial differential equations for a class of interacting measure-valued diffusions. Zbl 0973.60077
Dawson, D. A.; Vaillancourt, J.; Wang, H.
2000
Construction of immigration superprocesses with dependent spatial motion from one-dimensional excursions. Zbl 1038.60082
Dawson, Donald A.; Li, Zenghu
2003
Hierarchical models of interacting diffusions: Multiple time scale phenomena, phase transition and pattern of cluster-formation. Zbl 0794.60101
Dawson, Donald A.; Greven, Andreas
1993
Multiple time scale analysis of interacting diffusions. Zbl 0791.60094
Dawson, Donald; Greven, Andreas
1993
Schrödinger processes and large deviations. Zbl 0736.60071
Dawson, Donald A.; Gorostiza, L.; Wakolbinger, A.
1990
Equilibria and quasi-equilibria for infinite collections of interacting Fleming-Viot processes. Zbl 0831.60102
Dawson, Donald A.; Greven, Andreas; Vaillancourt, Jean
1995
Critical dimension for a model of branching in a random medium. Zbl 0554.60068
Dawson, Donald A.; Fleischmann, Klaus
1985
Measure-valued processes and renormalization of branching particle systems. Zbl 0934.60078
Dawson, Donald A.; Perkins, Edwin A.
1999
Catalytic and mutually catalytic branching. Zbl 0983.92036
Dawson, Donald A.; Fleischmann, Klaus
2000
Synchronous and asynchronous reversible Markov systems. Zbl 0311.60027
Dawson, D. A.
1975
Asymptotic behavior of the Poisson-Dirichlet distribution for large mutation rate. Zbl 1119.92046
Dawson, Donald A.; Feng, Shui
2006
*-solutions of evolution equations in Hilbert space. Zbl 0613.34048
Dawson, D. A.; Gorostiza, L. G.
1987
Almost-sure path properties of $$(2,d,\beta)$$-superprocesses. Zbl 0810.60028
1994
Longtime behavior of a branching process controlled by branching catalysts. Zbl 0942.60073
Dawson, Donald A.; Fleischmann, Klaus
1997
Diffusion and reaction caused by point catalysts. Zbl 0781.35026
Dawson, Donald A.; Fleischmann, Klaus
1992
Resolvent estimates for Fleming-Viot operators and uniqueness of solutions to related martingale problems. Zbl 0853.60043
Dawson, Donald A.; March, Peter
1995
Absolute continuity of the measure states in a branching model with catalysts. Zbl 0724.60089
Dawson, Donald A.; Fleischmann, Klaus; Roelly, Sylvie
1991
Long-time fluctuations of weakly interacting diffusions. Zbl 0627.60105
Dawson, D. A.; Gärtner, J.
1987
Estimation of dimension for spatially distributed data and related limit theorems. Zbl 0688.62036
Cutler, C. D.; Dawson, D. A.
1989
Super-Brownian motions in higher dimensions with absolutely continuous measure states. Zbl 0820.60032
Dawson, Donald A.; Fleischmann, Klaus
1995
Multiple space-time scale analysis for interacting branching models. Zbl 0890.60093
Dawson, Donald A.; Greven, Andreas
1996
Infinitely divisible random measures. Zbl 0785.60034
Dawson, Donald A.
1992
Catalytic and mutually catalytic super-Brownian motions. Zbl 1030.60091
Dawson, D. A.; Fleischmann, K.
2002
Mutually catalytic super branching random walks: Large finite systems and renormalization analysis. Zbl 1063.60143
Cox, J. T.; Dawson, D. A.; Greven, A.
2004
Qualitative behavior of geostochastic systems. Zbl 0444.92014
Dawson, Donald A.
1980
Hierarchically interacting Fleming-Viot processes with selection and mutation: Multiple space time scale analysis and quasi-equilibria. Zbl 0920.92016
Dawson, Donald A.; Greven, Andreas
1999
Nearest-neighbor analysis of a family of fractal distributions. Zbl 0715.60024
Cutler, Colleen D.; Dawson, Donald A.
1990
Degrees of transience and recurrence and hierarchical random walks. Zbl 1075.60043
Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A.
2005
Equivalence of Markov processes. Zbl 0159.46701
Dawson, D. A.
1968
Finite time extinction of superprocesses with catalysts. Zbl 1044.60073
Dawson, Donald A.; Fleischmann, Klaus; Mueller, Carl
2000
Non-differentiable skew convolution semigroups and related Ornstein-Uhlenbeck processes. Zbl 1037.60071
Dawson, Donald A.; Li, Zenghu
2004
Spatial Fleming-Viot models with selection and mutation. Zbl 1295.92008
Dawson, Donald A.; Greven, Andreas
2014
Percolation in a hierarchical random graph. Zbl 1328.60210
Dawson, D. A.; Gorostiza, L. G.
2007
A multilevel branching model. Zbl 0737.60070
Dawson, D. A.; Hochberg, K. J.
1991
High-density limits of hierarchically structured branching-diffusing populations. Zbl 0863.60031
Dawson, D. A.; Hochberg, K. J.; Vinogradov, V.
1996
Strong uniqueness for cyclically symbiotic branching diffusions. Zbl 1069.60087
Dawson, Donald A.; Fleischmann, Klaus; Xiong, Jie
2005
Applications of duality to measure-valued diffusion processes. Zbl 0496.60057
Dawson, Donald A.; Kurtz, Thomas G.
1982
Limit theorems for supercritical branching random fields. Zbl 0553.60073
Dawson, Donald A.; Gorostiza, Luis G.
1984
Hierarchical equilibria of branching populations. Zbl 1076.60073
Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A.
2004
Mutually catalytic branching in the plane: Infinite measure states. Zbl 1016.60075
Dawson, Donald A.; Etheridge, Alison M.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
2002
Mutually catalytic branching in the plane: Uniqueness. Zbl 1016.60091
Dawson, Donald A.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
2003
Multilevel mutation-selection systems and set-valued duals. Zbl 1391.92029
Dawson, Donald A.
2018
Balancing queues by mean field interaction. Zbl 1080.90026
Dawson, Donald A.; Tang, Jiashan; Zhao, Yiqiang Q.
2005
Superprocesses at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1541 (1993) and 1781 (2002). Zbl 1245.60002
Dawson, Donald A.; Perkins, Edwin
2012
Percolation in an ultrametric space. Zbl 1282.05196
Dawson, Donald A.; Gorostiza, Luis G.
2013
Large deviations and tunnelling for particle systems with mean field interaction. Zbl 0613.60020
Dawson, D. A.; Gärtner, J.
1986
Multiple time scale analysis of hierarchically interacting systems. Zbl 0785.60046
Dawson, Donald A.; Greven, Andreas
1993
On spatially homogeneous branching processes in a random environment. Zbl 0533.60091
Dawson, Donald; Fleischmann, Klaus
1983
A limit theorem for Brownian motion in a random scenery. Zbl 0755.60062
Remillard, Bruno; Dawson, Donald A.
1991
Generalized stochastic integrals and equations. Zbl 0199.52402
Dawson, D. A.
1970
Information flow in discrete Markov systems. Zbl 0259.60050
Dawson, D. A.
1973
On the uniqueness problem for catalytic branching networks and other singular diffusions. Zbl 1107.60045
Dawson, D. A.; Perkins, E. A.
2006
Superprocesses with coalescing Brownian spatial motion as large-scale limits. Zbl 1067.60085
Dawson, D. A.; Li, Z.; Zhou, X.
2004
A critical measure-valued branching process with infinite mean. Zbl 0588.60087
Dawson, D. A.; Fleischmann, K.; Foley, R. D.; Peletier, L. A.
1986
Hierarchical random walks. Zbl 1068.60071
Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A.
2004
Mutually catalytic branching in the plane: Finite measure states. Zbl 1017.60098
Dawson, Donald A.; Etheridge, Alison M.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
2002
A degenerate stochastic partial differential equation for the purely atomic superprocess with dependent spatial motion. Zbl 1044.60079
Dawson, Donald A.; Li, Zenghu; Wang, Hao
2003
The construction of a class of diffusions. Zbl 0142.14302
Dawson, D. A.
1964
Limit theorems for interaction free geostochastic systems. Zbl 0463.60051
Dawson, D. A.
1981
Multilevel branching systems. Zbl 0817.60087
Dawson, D. A.; Hochberg, K. J.; Wu, Y.
1990
On path properties of super-2 processes. II. Zbl 0821.60041
1995
Super-Brownian motions in catalytic media. Zbl 0823.60044
Dawson, Donald A.; Fleischmann, Klaus; Le Gall, Jean-François
1995
Singularity of super-Brownian local time at a point catalyst. Zbl 0830.60079
Dawson, Donald A.; Fleischmann, Klaus; Li, Yi; Mueller, Carl
1995
The support of measure-valued branching processes in a random environment. Zbl 0853.60065
Dawson, Donald A.; Li, Y.; Mueller, C.
1995
Invariance principles for parabolic equations with random coefficients. Zbl 0894.60055
Dawson, Donald A.; Kouritzin, Michael A.
1997
Continuous dependence of a class of superprocesses on branching parameters and applications. Zbl 0938.60078
Dawson, Donald A.; Fleischmann, Klaus; Leduc, Guillaume
1998
Information flow in one-dimensional Markov systems. Zbl 0322.60060
Dawson, D. A.
1974
Multilevel mutation-selection systems and set-valued duals. Zbl 1391.92029
Dawson, Donald A.
2018
Transience and recurrence of random walks on percolation clusters in an ultrametric space. Zbl 1384.05139
Dawson, D. A.; Gorostiza, L. G.
2018
Kernel method for stationary tails: from discrete to continuous. Zbl 1368.60048
Dai, Hongshuai; Dawson, Donald A.; Zhao, Yiqiang Q.
2015
Spatial Fleming-Viot models with selection and mutation. Zbl 1295.92008
Dawson, Donald A.; Greven, Andreas
2014
Percolation in an ultrametric space. Zbl 1282.05196
Dawson, Donald A.; Gorostiza, Luis G.
2013
Stochastic equations, flows and measure-valued processes. Zbl 1254.60088
Dawson, Donald A.; Li, Zenghu
2012
Superprocesses at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1541 (1993) and 1781 (2002). Zbl 1245.60002
Dawson, Donald A.; Perkins, Edwin
2012
Multiscale analysis: Fisher-Wright diffusions with rare mutations and selection, logistic branching system. Zbl 1408.60080
Dawson, Donald A.; Greven, Andreas
2012
The renormalization transformation for two-type branching models. Zbl 1181.60122
Dawson, D. A.; Greven, A.; den Hollander, F.; Sun, Rongfeng; Swart, J. M.
2008
Percolation in a hierarchical random graph. Zbl 1328.60210
Dawson, D. A.; Gorostiza, L. G.
2007
Skew convolution semigroups and affine Markov processes. Zbl 1102.60065
Dawson, D. A.; Li, Zenghu
2006
Asymptotic behavior of the Poisson-Dirichlet distribution for large mutation rate. Zbl 1119.92046
Dawson, Donald A.; Feng, Shui
2006
On the uniqueness problem for catalytic branching networks and other singular diffusions. Zbl 1107.60045
Dawson, D. A.; Perkins, E. A.
2006
Degrees of transience and recurrence and hierarchical random walks. Zbl 1075.60043
Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A.
2005
Strong uniqueness for cyclically symbiotic branching diffusions. Zbl 1069.60087
Dawson, Donald A.; Fleischmann, Klaus; Xiong, Jie
2005
Balancing queues by mean field interaction. Zbl 1080.90026
Dawson, Donald A.; Tang, Jiashan; Zhao, Yiqiang Q.
2005
Generalized Mehler semigroups and catalytic branching processes with immigration. Zbl 1057.60074
Dawson, Donald A.; Li, Zenghu; Schmuland, Byron; Sun, Wei
2004
Mutually catalytic super branching random walks: Large finite systems and renormalization analysis. Zbl 1063.60143
Cox, J. T.; Dawson, D. A.; Greven, A.
2004
Non-differentiable skew convolution semigroups and related Ornstein-Uhlenbeck processes. Zbl 1037.60071
Dawson, Donald A.; Li, Zenghu
2004
Hierarchical equilibria of branching populations. Zbl 1076.60073
Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A.
2004
Superprocesses with coalescing Brownian spatial motion as large-scale limits. Zbl 1067.60085
Dawson, D. A.; Li, Z.; Zhou, X.
2004
Hierarchical random walks. Zbl 1068.60071
Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A.
2004
Construction of immigration superprocesses with dependent spatial motion from one-dimensional excursions. Zbl 1038.60082
Dawson, Donald A.; Li, Zenghu
2003
Mutually catalytic branching in the plane: Uniqueness. Zbl 1016.60091
Dawson, Donald A.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
2003
A degenerate stochastic partial differential equation for the purely atomic superprocess with dependent spatial motion. Zbl 1044.60079
Dawson, Donald A.; Li, Zenghu; Wang, Hao
2003
State dependent multitype spatial branching processes and their longtime behavior. Zbl 1076.60084
Dawson, Donald A.; Greven, Andreas
2003
Nonlocal branching superprocesses and some related models. Zbl 1014.60052
Dawson, Donald A.; Gorostiza, Luis G.; Li, Zenghu
2002
Catalytic and mutually catalytic super-Brownian motions. Zbl 1030.60091
Dawson, D. A.; Fleischmann, K.
2002
Mutually catalytic branching in the plane: Infinite measure states. Zbl 1016.60075
Dawson, Donald A.; Etheridge, Alison M.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
2002
Mutually catalytic branching in the plane: Finite measure states. Zbl 1017.60098
Dawson, Donald A.; Etheridge, Alison M.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
2002
Strong clumping of super-Brownian motion in a stable catalytic medium. Zbl 1029.60088
Dawson, Donald A.; Fleischmann, Klaus; Mörters, Peter
2002
Occupation time fluctuations in branching systems. Zbl 0991.60095
Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A.
2001
Superprocesses with dependent spatial motion and general branching densities. Zbl 1008.60093
Dawson, Donald A.; Li, Zenghu; Wang, Hao
2001
Large deviations for the Fleming-Viot process with neutral mutation and selection. II. Zbl 1047.60020
Dawson, Donald A.; Feng, Shui
2001
Stochastic partial differential equations for a class of interacting measure-valued diffusions. Zbl 0973.60077
Dawson, D. A.; Vaillancourt, J.; Wang, H.
2000
Catalytic and mutually catalytic branching. Zbl 0983.92036
Dawson, Donald A.; Fleischmann, Klaus
2000
Finite time extinction of superprocesses with catalysts. Zbl 1044.60073
Dawson, Donald A.; Fleischmann, Klaus; Mueller, Carl
2000
Stochastic models of evolving information systems. Zbl 0951.60090
Dawson, Donald A.
2000
Measure-valued processes and renormalization of branching particle systems. Zbl 0934.60078
Dawson, Donald A.; Perkins, Edwin A.
1999
Hierarchically interacting Fleming-Viot processes with selection and mutation: Multiple space time scale analysis and quasi-equilibria. Zbl 0920.92016
Dawson, Donald A.; Greven, Andreas
1999
The dynamic behaviour of flexible semi-trailers on board Ro-Ro ship. Zbl 0941.70509
Turnbull, S. R.; Dawson, D.
1999
Long-time behavior and coexistence in a mutually catalytic branching model. Zbl 0938.60042
Dawson, Donald A.; Perkins, Edwin A.
1998
Large deviation for the Fleming-Viot process with neutral mutation and selection. Zbl 0934.60024
Dawson, Donald A.; Feng, Shui
1998
Continuous dependence of a class of superprocesses on branching parameters and applications. Zbl 0938.60078
Dawson, Donald A.; Fleischmann, Klaus; Leduc, Guillaume
1998
Analytic aspects of multilevel large deviations. Zbl 0931.60068
Dawson, D. A.; Gärtner, J.
1998
A continuous super-Brownian motion in a super-Brownian medium. Zbl 0877.60030
Dawson, Donald A.; Fleischmann, Klaus
1997
Longtime behavior of a branching process controlled by branching catalysts. Zbl 0942.60073
Dawson, Donald A.; Fleischmann, Klaus
1997
Invariance principles for parabolic equations with random coefficients. Zbl 0894.60055
Dawson, Donald A.; Kouritzin, Michael A.
1997
Multilevel multitype branching models of an information system. Zbl 0870.60093
Dawson, D. A.; Wu, Y.
1997
Multiple space-time scale analysis for interacting branching models. Zbl 0890.60093
Dawson, Donald A.; Greven, Andreas
1996
High-density limits of hierarchically structured branching-diffusing populations. Zbl 0863.60031
Dawson, D. A.; Hochberg, K. J.; Vinogradov, V.
1996
On weak convergence of branching particle systems undergoing spatial motion. Zbl 0866.60026
1996
The Wiener process revisited. Zbl 0965.60082
1996
Stochastic McKean-Vlasov equations. Zbl 0830.60091
Dawson, Donald; Vaillancourt, Jean
1995
Equilibria and quasi-equilibria for infinite collections of interacting Fleming-Viot processes. Zbl 0831.60102
Dawson, Donald A.; Greven, Andreas; Vaillancourt, Jean
1995
Resolvent estimates for Fleming-Viot operators and uniqueness of solutions to related martingale problems. Zbl 0853.60043
Dawson, Donald A.; March, Peter
1995
Super-Brownian motions in higher dimensions with absolutely continuous measure states. Zbl 0820.60032
Dawson, Donald A.; Fleischmann, Klaus
1995
On path properties of super-2 processes. II. Zbl 0821.60041
1995
Super-Brownian motions in catalytic media. Zbl 0823.60044
Dawson, Donald A.; Fleischmann, Klaus; Le Gall, Jean-François
1995
Singularity of super-Brownian local time at a point catalyst. Zbl 0830.60079
Dawson, Donald A.; Fleischmann, Klaus; Li, Yi; Mueller, Carl
1995
The support of measure-valued branching processes in a random environment. Zbl 0853.60065
Dawson, Donald A.; Li, Y.; Mueller, C.
1995
Interaction and hierarchy in measure-valued processes. Zbl 0853.60044
Dawson, Donald
1995
A super-Brownian motion with a single point catalyst. Zbl 0796.60087
Dawson, Donald A.; Fleischmann, Klaus
1994
Multilevel large deviations and interacting diffusions. Zbl 0794.60015
Dawson, D. A.; Gärtner, J.
1994
Almost-sure path properties of $$(2,d,\beta)$$-superprocesses. Zbl 0810.60028
1994
On path properties of super-2 processes. I. Zbl 0824.60089
1994
Measure-valued Markov processes. Zbl 0799.60080
Dawson, Donald A.
1993
Hierarchical models of interacting diffusions: Multiple time scale phenomena, phase transition and pattern of cluster-formation. Zbl 0794.60101
Dawson, Donald A.; Greven, Andreas
1993
Multiple time scale analysis of interacting diffusions. Zbl 0791.60094
Dawson, Donald; Greven, Andreas
1993
Multiple time scale analysis of hierarchically interacting systems. Zbl 0785.60046
Dawson, Donald A.; Greven, Andreas
1993
Diffusion and reaction caused by point catalysts. Zbl 0781.35026
Dawson, Donald A.; Fleischmann, Klaus
1992
Infinitely divisible random measures. Zbl 0785.60034
Dawson, Donald A.
1992
Historical processes. Zbl 0754.60062
Dawson, Donald A.; Perkins, Edwin A.
1991
Law of large numbers and central limit theorem for unbounded jump mean- field models. Zbl 0751.60080
Dawson, D. A.; Zheng, X.
1991
Critical branching in a highly fluctuating random medium. Zbl 0735.60087
Dawson, Donald A.; Fleischmann, Klaus
1991
Absolute continuity of the measure states in a branching model with catalysts. Zbl 0724.60089
Dawson, Donald A.; Fleischmann, Klaus; Roelly, Sylvie
1991
A multilevel branching model. Zbl 0737.60070
Dawson, D. A.; Hochberg, K. J.
1991
A limit theorem for Brownian motion in a random scenery. Zbl 0755.60062
Remillard, Bruno; Dawson, Donald A.
1991
Generalized solutions of a class of nuclear-space-valued stochastic evolution equations. Zbl 0714.60048
Dawson, Donald A.; Gorostiza, Luis G.
1990
Schrödinger processes and large deviations. Zbl 0736.60071
Dawson, Donald A.; Gorostiza, L.; Wakolbinger, A.
1990
Nearest-neighbor analysis of a family of fractal distributions. Zbl 0715.60024
Cutler, Colleen D.; Dawson, Donald A.
1990
Multilevel branching systems. Zbl 0817.60087
Dawson, D. A.; Hochberg, K. J.; Wu, Y.
1990
Super-Brownian motion: Path properties and hitting probabilities. Zbl 0692.60063
Dawson, D. A.; Iscoe, I.; Perkins, E. A.
1989
Stable hydrodynamic limit fluctuations of a critical branching particle system in a random medium. Zbl 0694.60078
Dawson, Donald A.; Fleischmann, Klaus; Gorostiza, Luis G.
1989
Large deviations, free energy functional and quasi-potential for a mean field model of interacting diffusions. Zbl 0677.60106
Dawson, D. A.; Gärtner, J.
1989
Estimation of dimension for spatially distributed data and related limit theorems. Zbl 0688.62036
Cutler, C. D.; Dawson, D. A.
1989
Laws of the iterated logarithm and large deviations for a class of diffusion processes. Zbl 0694.60025
Remillard, Bruno; Dawson, Donald A.
1989
A stochastic explosive reaction system with sampling. Zbl 0679.60074
Dawson, Donald A.; Fleischmann, Klaus
1989
Strong clumping of critical space-time branching models in subcritical dimensions. Zbl 0678.60040
Dawson, Donald A.; Fleischmann, Klaus
1988
Sample path properties of the support process of super-Brownian motion. Zbl 0644.60089
Dawson, D. A.; Iscoe, I.; Perkins, E. A.
1988
Long time behaviour of interacting diffusions. Zbl 0668.60067
Dawson, D. A.; Gärtner, J.
1988
Large deviations from the McKean-Vlasov limit for weakly interacting diffusions. Zbl 0613.60021
Dawson, Donald A.; Gärtner, Jürgen
1987
*-solutions of evolution equations in Hilbert space. Zbl 0613.34048
Dawson, D. A.; Gorostiza, L. G.
1987
Long-time fluctuations of weakly interacting diffusions. Zbl 0627.60105
Dawson, D. A.; Gärtner, J.
1987
Stochastic models of parallel systems for global optimization. Zbl 0648.60104
Dawson, D. A.
1987
Large deviations and tunnelling for particle systems with mean field interaction. Zbl 0613.60020
Dawson, D. A.; Gärtner, J.
1986
A critical measure-valued branching process with infinite mean. Zbl 0588.60087
Dawson, D. A.; Fleischmann, K.; Foley, R. D.; Peletier, L. A.
1986
Critical dimension for a model of branching in a random medium. Zbl 0554.60068
Dawson, Donald A.; Fleischmann, Klaus
1985
Function-valued duals for measure-valued processes and applications. Zbl 0568.60068
Dawson, Donald A.; Hochberg, Kenneth J.
1985
A random wave process. Zbl 0564.60061
Dawson, D. A.; Papanicolaou, G. C.
1984
...and 30 more Documents
all top 5

#### Cited by 938 Authors

 46 Dawson, Donald Andrew 29 Li, Zenghu 27 Fleischmann, Klaus 27 Gorostiza, Luis G. 24 Xiong, Jie 21 Greven, Andreas 17 Mytnik, Leonid 17 Perkins, Edwin A. 16 Bojdecki, Tomasz 15 Feng, Shui 15 Klenke, Achim 14 Ren, Yanxia 13 Garnier, Josselin 13 Le Gall, Jean-François 13 Sølna, Knut 11 He, Hui 10 Dynkin, Evgeniĭ Borisovich 10 Müller, Carl E. 10 Talarczyk, Anna 10 Zhou, Xiaowen 9 den Hollander, Frank 9 Hong, Wenming 9 Song, Renming 9 Xiang, Kai-Nan 9 Zhang, Mei 8 Etheridge, Alison Mary 8 Kotelenez, Peter M. 8 Kurtz, Thomas Gordon 8 Ma, Chunhua 8 McKibben, Mark Anthony 8 Wakolbinger, Anton 8 Wang, Hao 7 Cox, J. Theodore 7 Engländer, János 7 Evans, Steven Neil 7 Pap, Gyula 7 Peletier, Mark Adriaan 6 Barczy, Mátyás 6 Pardoux, Etienne 6 Swart, Jan M. 6 Tribe, Roger P. 6 Vaillancourt, Jean 6 Yang, Xu 5 Athreya, Siva R. 5 Delarue, François 5 Döring, Leif 5 Gao, Fuqing 5 Iscoe, Ian 5 Kallenberg, Olav 5 Léonard, Christian 5 Lin, Zhengyan 5 López-Mimbela, José Alfredo 5 Ma, Rugang 5 Pinsky, Ross George 5 Prékopa, András 5 Rüdiger, Barbara 5 Schied, Alexander 5 Tran, Viet Chi 5 Vinogradov, Vladimir Vladimirovich 5 Zabczyk, Jerzy 4 Adler, Robert Joseph 4 Bal, Guillaume 4 Bogachev, Vladimir Igorevich 4 Budhiraja, Amarjit S. 4 Chen, Zhen-Qing 4 Da Prato, Giuseppe 4 da Silva, Telles Timóteo 4 Dai Pra, Paolo 4 Dalang, Robert C. 4 Delmas, Jean-François 4 Deuschel, Jean-Dominique 4 Feng, Jin 4 Fragoso, Marcelo Dutra 4 Friesen, Martin 4 Frolov, Andrei N. 4 Gärtner, Jürgen 4 Guionnet, Alice 4 Hochberg, Kenneth J. 4 Jin, Peng 4 Kliem, Sandra M. 4 Kolokoltsov, Vassili N. 4 Kouritzin, Michael A. 4 Kuznetsov, Sergei E. 4 Kyprianou, Andreas E. 4 Lee, Tzong-Yow 4 Li, Yuqiang 4 Méléard, Sylvie 4 Molchanov, Stanislav Alekseevich 4 Pavon, Michele 4 Pérez-Abreu Carrión, Víctor M. 4 Peszat, Szymon 4 Pfaffelhuber, Peter 4 Pinaud, Olivier 4 Puhalskii, Anatolii A. 4 Robert, Philippe 4 Ryzhik, Lenya 4 Scotti, Simone 4 Wang, Yongjin 4 Zhang, Rui 3 Abraham, Romain ...and 838 more Authors
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#### Cited in 205 Serials

 155 Stochastic Processes and their Applications 96 The Annals of Probability 87 Probability Theory and Related Fields 38 The Annals of Applied Probability 36 Statistics & Probability Letters 27 Stochastic Analysis and Applications 23 Journal of Statistical Physics 23 Journal of Theoretical Probability 17 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 17 Electronic Journal of Probability 16 Acta Applicandae Mathematicae 14 Journal of 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 Advances in Applied Probability 10 Journal of Mathematical Analysis and Applications 10 Science China. Mathematics 9 Journal of Multivariate Analysis 9 Potential Analysis 8 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 7 Communications in Mathematical Physics 7 Applied Mathematics and Optimization 7 Journal of Differential Equations 7 Stochastics and Stochastics Reports 7 Acta Mathematica Sinica. English Series 6 Stochastics 6 Bernoulli 6 Stochastics and Dynamics 6 Frontiers of Mathematics in China 5 Communications on Pure and Applied Mathematics 5 Mathematische Nachrichten 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Vestnik St. Petersburg University. Mathematics 4 Archive for Rational Mechanics and Analysis 4 Computers & Mathematics with Applications 4 Discrete Applied Mathematics 4 Journal of Mathematical Biology 4 Journal of Mathematical Physics 4 Lithuanian Mathematical Journal 4 Proceedings of the American Mathematical Society 4 Communications in Partial Differential Equations 4 NoDEA. Nonlinear Differential Equations and Applications 4 Electronic Communications in Probability 4 Discrete and Continuous Dynamical Systems 4 Stochastic Models 4 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 The Canadian Journal of Statistics 3 Discrete Mathematics 3 Nonlinearity 3 Wave Motion 3 Journal of Computational and Applied Mathematics 3 Journal of Optimization Theory and Applications 3 Journal of Soviet Mathematics 3 Theoretical Population Biology 3 Advances in Applied Mathematics 3 Queueing Systems 3 Annals of Operations Research 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Chinese Science Bulletin 3 Bulletin des Sciences Mathématiques 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Stochastics 3 Mathematical Control and Related Fields 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Rocky Mountain Journal of Mathematics 2 Bulletin of Mathematical Biology 2 Theory of Probability and its Applications 2 Applied Mathematics and Computation 2 Inventiones Mathematicae 2 Memoirs of the American Mathematical Society 2 Nagoya Mathematical Journal 2 SIAM Journal on Control and Optimization 2 Insurance Mathematics & Economics 2 Operations Research Letters 2 Statistics 2 Journal of Applied Mathematics and Stochastic Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Applied Mathematics 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 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 2 Chaos 2 Journal of Evolution Equations 2 Multiscale Modeling & Simulation 2 Advances in Difference Equations 2 Mathematics and Financial Economics 2 Optimization Letters 2 Probability Surveys 2 International Journal of Stochastic Analysis ...and 105 more Serials
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#### Cited in 40 Fields

 947 Probability theory and stochastic processes (60-XX) 141 Partial differential equations (35-XX) 82 Statistical mechanics, structure of matter (82-XX) 77 Biology and other natural sciences (92-XX) 41 Statistics (62-XX) 39 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 33 Systems theory; control (93-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 32 Operations research, mathematical programming (90-XX) 22 Operator theory (47-XX) 19 Numerical analysis (65-XX) 18 Dynamical systems and ergodic theory (37-XX) 16 Measure and integration (28-XX) 14 Functional analysis (46-XX) 14 Fluid mechanics (76-XX) 12 Ordinary differential equations (34-XX) 12 Computer science (68-XX) 11 Information and communication theory, circuits (94-XX) 10 Mechanics of deformable solids (74-XX) 10 Quantum theory (81-XX) 9 Combinatorics (05-XX) 7 Potential theory (31-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Real functions (26-XX) 3 Difference and functional equations (39-XX) 3 Integral equations (45-XX) 3 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Classical thermodynamics, heat transfer (80-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 Convex and discrete geometry (52-XX) 1 Geophysics (86-XX)

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