2013 - Fellow of the American Mathematical Society
His scientific interests lie mostly in Mathematical analysis, Superprocess, Random measure, Diffusion process and Stochastic partial differential equation. His Mathematical analysis study incorporates themes from Stochastic process, Stable process, Branching process and Brownian motion. His Superprocess study combines topics in areas such as Lebesgue measure and Limit.
His work in Random measure covers topics such as Hausdorff dimension which are related to areas like Discrete mathematics. His studies in Diffusion process integrate themes in fields like Martingale, Spatial motion, Bounded function, Special case and Limit of a sequence. Donald A. Dawson studied Stochastic partial differential equation and Applied mathematics that intersect with Markov process.
His main research concerns Mathematical analysis, Statistical physics, Combinatorics, Superprocess and Brownian motion. His Mathematical analysis research incorporates themes from Martingale, Stochastic process and Branching process. His work in the fields of Large deviations theory overlaps with other areas such as Scale analysis.
His work carried out in the field of Combinatorics brings together such families of science as Discrete mathematics, Ultrametric space, Random walk and Type. His biological study deals with issues like Bounded function, which deal with fields such as Limit of a sequence. The study incorporates disciplines such as Stochastic differential equation and Applied mathematics in addition to Stochastic partial differential equation.
Donald A. Dawson mostly deals with Combinatorics, Discrete mathematics, Random walk, Type and Measure. His biological study spans a wide range of topics, including Section, Markov process, Extension, Interacting particle system and Branching process. His studies in Random walk integrate themes in fields like Ultrametric space and Random graph.
To a larger extent, he studies Mathematical analysis with the aim of understanding Measure. Many of his studies on Mathematical analysis involve topics that are commonly interrelated, such as Martingale. His work deals with themes such as Phase and Superprocess, which intersect with Statistical physics.
His primary areas of study are Combinatorics, Applied mathematics, Discrete mathematics, Statistics and Type. His research investigates the link between Combinatorics and topics such as Mutation that cross with problems in Random walk, Mutation rate, Statistical physics, Stochastic process and Branching random walk. His studies deal with areas such as Poincaré conjecture, Population genetics, Population model, Mathematical economics and Scaling limit as well as Applied mathematics.
His Discrete mathematics research includes elements of Interacting particle system, Markov process and Branching process. His Branching process research integrates issues from Markov chain and Duality. The Type study combines topics in areas such as Open problem, Large deviations theory, Rate function and Distribution.
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Measure-valued Markov processes
Critical dynamics and fluctuations for a mean-field model of cooperative behavior
Donald A. Dawson.
Journal of Statistical Physics (1983)
Stochastic evolution equations and related measure processes
Journal of Multivariate Analysis (1975)
The critical measure diffusion process
D. A. Dawson.
Probability Theory and Related Fields (1977)
AN INEQUALITY FOR PROBABILITIES
D. A. Dawson;D. Sankoff.
Proceedings of the American Mathematical Society (1967)
Super-Brownian motion: Path properties and hitting probabilities
D. A. Dawson;I. Iscoe;E. A. Perkins.
Probability Theory and Related Fields (1989)
Stochastic evolution equations
Bellman Prize in Mathematical Biosciences (1972)
Stochastic equations, flows and measure-valued processes
Donald A. Dawson;Zenghu Li.
Annals of Probability (2012)
Skew convolution semigroups and affine Markov processes
Donald A. Dawson;Zenghu Li.
Annals of Probability (2006)
Stochastic McKean-Vlasov equations
Donald Dawson;Jean Vaillancourt.
Nodea-nonlinear Differential Equations and Applications (1995)
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