D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 32 Citations 5,309 163 World Ranking 2372 National Ranking 98

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Statistics
  • Quantum mechanics

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 most cited work include:

  • Measure-valued Markov processes (475 citations)
  • Critical dynamics and fluctuations for a mean-field model of cooperative behavior (252 citations)
  • Stochastic evolution equations and related measure processes (177 citations)

What are the main themes of his work throughout his whole career to date?

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.

He most often published in these fields:

  • Mathematical analysis (35.37%)
  • Statistical physics (23.17%)
  • Combinatorics (15.24%)

What were the highlights of his more recent work (between 2010-2021)?

  • Combinatorics (15.24%)
  • Discrete mathematics (10.98%)
  • Random walk (12.20%)

In recent papers he was focusing on the following fields of study:

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.

Between 2010 and 2021, his most popular works were:

  • Stochastic equations, flows and measure-valued processes (79 citations)
  • Introductory Lectures on Stochastic Population Systems (19 citations)
  • Multilevel mutation-selection systems and set-valued duals (18 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Statistics
  • Quantum mechanics

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Measure-valued Markov processes

Donald Dawson.
(1993)

967 Citations

Critical dynamics and fluctuations for a mean-field model of cooperative behavior

Donald A. Dawson.
Journal of Statistical Physics (1983)

396 Citations

Stochastic evolution equations and related measure processes

D.A Dawson.
Journal of Multivariate Analysis (1975)

299 Citations

The critical measure diffusion process

D. A. Dawson.
Probability Theory and Related Fields (1977)

239 Citations

AN INEQUALITY FOR PROBABILITIES

D. A. Dawson;D. Sankoff.
Proceedings of the American Mathematical Society (1967)

204 Citations

Super-Brownian motion: Path properties and hitting probabilities

D. A. Dawson;I. Iscoe;E. A. Perkins.
Probability Theory and Related Fields (1989)

191 Citations

Stochastic evolution equations

D.A. Dawson.
Bellman Prize in Mathematical Biosciences (1972)

180 Citations

Stochastic equations, flows and measure-valued processes

Donald A. Dawson;Zenghu Li.
Annals of Probability (2012)

148 Citations

Skew convolution semigroups and affine Markov processes

Donald A. Dawson;Zenghu Li.
Annals of Probability (2006)

134 Citations

Stochastic McKean-Vlasov equations

Donald Dawson;Jean Vaillancourt.
Nodea-nonlinear Differential Equations and Applications (1995)

105 Citations

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