Donald A. Dawson

Q: What Schools Are Affiliated With Donald A. Dawson

Donald A. Dawson is affiliated with the following schools: McGill University, Carleton University, Massachusetts Institute of Technology, University of Toronto

Donald A. Dawson's AcademicInfluence.com Rankings

Donald A. Dawson

Mathematics

#3901

World Rank

#5645

Historical Rank

Measure Theory

#1962

World Rank

#2385

Historical Rank

mathematics Degrees

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Mathematics

Why Is Donald A. Dawson Influential?

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According to Wikipedia, Donald Andrew Dawson is a Canadian mathematician, specializing in probability. Education and career Dawson received in 1958 his bachelor's degree and in 1959 his master's degree from McGill University and in 1963 his PhD from MIT under Henry McKean with thesis Constructions of Diffusions with Specified Mean Hitting Times and Hitting Probabilities. In 1962/63 he was an engineer in the aerospace department of Raytheon. At McGill University he became in 1963 an assistant professor and in 1967 an associate professor. At Carleton University he became in 1970 an associate professor and in 1971 a professor, working in this position until 1996.

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Donald A. Dawson's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Measure-valued Markov processes (1993) (692)
Critical dynamics and fluctuations for a mean-field model of cooperative behavior (1983) (313)
Ecole D'Ete De Probabilites De Saint-Flour Xxi-1991 (1993) (225)
Stochastic evolution equations and related measure processes (1975) (213)
Skew convolution semigroups and affine Markov processes (2005) (166)
AN INEQUALITY FOR PROBABILITIES (1967) (158)
Stochastic equations, flows and measure-valued processes (2010) (154)
Super-Brownian motion: Path properties and hitting probabilities (1989) (150)
The critical measure diffusion process (1977) (148)
Stochastic evolution equations (1972) (92)
The Carrying Dimension of a Stochastic Measure Diffusion (1979) (81)
Stochastic McKean-Vlasov equations (1995) (80)
Wandering Random Measures in the Fleming-Viot Model (1982) (79)
A super-Brownian motion with a single point catalyst (1994) (77)
Performance of machine learning methods in diagnosing Parkinson’s disease based on dysphonia measures (2018) (75)
Spatially homogeneous random evolutions (1980) (72)
A random wave process (1984) (64)
Long-time behavior and coexistence in a mutually catalytic branching model (1998) (63)
A Continuous Super-Brownian Motion in a Super-Brownian Medium (1997) (61)
Infinitely Divisible Random Measures and Superprocesses (1992) (61)
Equilibria and Quasi-Equilibria for Infinite Collections of Interacting Fleming-Viot Processes (1995) (55)
Generalized solutions of a class of nuclear-space-valued stochastic evolution equations (1990) (54)
Superprocesses with dependent spatial motion and general branching densities. (2001) (53)
Large Deviations, Free Energy Functional and Quasi-Potential for a Mean Field Model of Interacting Diffusions (1989) (51)
Occupation Time Fluctuations in Branching Systems (2000) (45)
Hierarchical models of interacting diffusions: Multiple time scale phenomena, phase transition and pattern of cluster-formation (1993) (45)
Nonlocal Branching Superprocesses and Some Related Models (2002) (43)
Hierarchically Interacting Fleming-Viot Processes With Selection and Mutation: Multiple Space Time Scale Analysis and Quasi-Equilibria (1999) (43)
Measure-Valued processes and renormalization of branching particle systems (1999) (42)
Large deviations for the Fleming-Viot process with neutral mutation and selection, II (1998) (42)
Stable Hydrodynamic Limit Fluctuations of a Critical Branching Particle System in a Random Medium (1989) (40)
Multilevel large deviations and interacting diffusions (1994) (40)
Strong clumping of critical space-time branching models in subcritical dimensions (1988) (39)
Multiple time scale analysis of interacting diffusions (1993) (36)
Evaluation and calibration of functional network modeling methods based on known anatomical connections (2012) (36)
Construction of immigration superprocesses with dependent spatial motion from one-dimensional excursions (2002) (36)
Introductory Lectures on Stochastic Population Systems (2017) (35)
Law of large numbers and central limit theorem for unbounded jump mean-field models (1991) (35)
Generalized Mehler Semigroups and Catalytic Branching Processes with Immigration (2004) (34)
Critical branching in a highly fluctuating random medium (1991) (34)
Multiple Space-Time Scale Analysis For Interacting Branching Models (1996) (34)
Mutually catalytic super branching random walks: large finite systems and renormalization analysis (2004) (32)
Asymptotic behavior of the Poisson–Dirichlet distribution for large mutation rate (2006) (31)
Resolvent Estimates for Fleming-Viot Operators and Uniqueness of Solutions to Related Martingale Problems (1995) (31)
Longtime behavior of a branching process controlled by branching catalysts (1997) (31)
A multilevel branching model (1991) (31)
Applications of duality to measure-valued diffusion processes (1982) (30)
Super-Brownian motions in higher dimensions with absolutely continuous measure states (1995) (30)
Spatial Fleming-Viot Models with Selection and Mutation (2013) (30)
Estimation of dimension for spatially distributed data and related limit theorems (1989) (30)
Schrödinger processes and large deviations (1990) (29)
Synchronous and Asynchronous Reversible Markov Systems(1) (1975) (29)
Stochastic partial differential equations for a class of interacting measure-valued diffusions (2000) (28)
Mutually Catalytic Branching in The Plane: Infinite Measure States (2002) (28)
Measure-Valued Processes, Stochastic Partial Differential Equations, and Interacting Systems (1994) (28)
Diffusion and reaction caused by point catalysts (1992) (27)
Balancing Queues by Mean Field Interaction (2005) (26)
Absolute Continuity of the Measure States in a Branching Model with Catalysts (1991) (24)
Catalytic and Mutually Catalytic Super-Brownian Motions (2002) (24)
Multilevel mutation-selection systems and set-valued duals (2015) (23)
Critical dimension for a model of branching in a random medium (1985) (23)
Catalytic and Mutually Catalytic Branching (2002) (23)
Almost-sure path properties of (2, d, β)-superprocesses (1994) (22)
Partial Correlation-Based Retinotopically Organized Resting-State Functional Connectivity Within and Between Areas of the Visual Cortex Reflects More Than Cortical Distance (2016) (21)
Corrigendum to “Large deviations for the Fleming-Viot process with neutral mutation and selection” (1998) (21)
Asymptotic Laws and Methods in Stochastics (2015) (20)
Degrees of Transience and Recurrence and Hierarchical Random Walks (2004) (19)
Qualitative behavior of geostochastic systems (1980) (19)
High-density limits of hierarchically structured branching-diffusing populations (1996) (18)
Hierarchical equilibria of branching populations (2003) (18)
Solutions of evolution equations in Hilbert space (1987) (17)
Mutually catalytic branching in the plane: uniqueness (2003) (17)
Percolation in an ultrametric space (2010) (17)
Equivalence of Markov processes (1968) (16)
Nearest-neighbor analysis of a family of fractal distributions (1990) (15)
Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits (2004) (15)
Singularity of Super-Brownian Local Time at a Point Catalyst (1995) (15)
The renormalization transformation for two-type branching models (2006) (15)
Multiple Time Scale Analysis of Hierarchically Interacting Systems (1993) (15)
Large Deviations for Interacting Processes in the Strong Topology (2005) (15)
Meta-Analysis of Antiretroviral Effects on HIV-1 RNA, CD4 Cell Count and Progression to AIDS or Death (1998) (15)
PERCOLATION IN A HIERARCHICAL RANDOM GRAPH (2006) (15)
Limit Theorems for Supercritical Branching Random Fields (1984) (14)
On path properties of super-2 processes. I (1994) (14)
A Limit Theorem for Brownian Motion in a Random Scenery (1991) (13)
Generalized stochastic integrals and equations (1970) (13)
Large deviations for the Fleming–Viot process with neutral mutation and selection11Research supported by the Natural Science and Engineering Research Council of Canada. (1998) (13)
Information flow in discrete Markov systems (1973) (12)
Measure-valued processes Construction, qualitative behavior and stochastic geometry (1986) (12)
Probability and Mathematical Physics (2007) (12)
A critical measure-valued branching process with infinite mean (1986) (12)
Non-Differentiable Skew Convolution Semigroups and Related Ornstein–Uhlenbeck Processes (2004) (12)
Long-time fluctuations of weakly interacting diffusions (1987) (12)
Comparative Genomics Via Phylogenetic Invariants For Jukes-Cantor Semigroups (2003) (11)
Continuous dependence of a class of superprocesses on branching parameters and applications (1998) (11)
On Spatially Homogeneous Branching Processes in a Random Environment (1983) (11)
High-Density Fluctuations of Immigration Branching Particle Systems (2000) (10)
State Dependent Multitype Spatial Branching Processes and their Longtime Behavior (2003) (10)
Super-Brownian Motions in Catalytic Media (1995) (10)
Probability and mathematical physics : a volume in honor of Stanislav Molchanov (2007) (10)
Finite time extinction of superprocesses with catalysts (2000) (10)
Strong uniqueness for cyclically symbiotic branching diffusions (2005) (10)
Invariance Principles for Parabolic Equations with Random Coefficients (1997) (9)
Analytic aspects of multilevel large deviations (1998) (9)
On the uniqueness problem for catalytic branching networks and other singular diffusions (2006) (9)
Qualitative behavior of a selectively neutral allelic model. (1983) (9)
The Support of Measure-Valued Branching Processes in a Random Environment (1995) (8)
A degenerate stochastic partial differential equation for the purely atomic superprocess with dependent spatial motion (2003) (8)
Superprocesses at Saint-Flour (2011) (8)
Generalized solutions of stochastic evolution equations (1989) (8)
Audit of Direct Access Cardiac Investigations: Experience in an Inner London Health District (1994) (8)
Kernel Method for Stationary Tails: From Discrete to Continuous (2015) (7)
Strong clumping of super-Brownian motion in a stable catalytic medium (2002) (6)
Multiscale analysis: Fisher-Wright diffusions with rare mutations and selection, logistic branching system (2010) (6)
Duality for spatially interacting Fleming-Viot processes with mutation and selection (2011) (6)
Asymptotic analysis of multilevel stochastic systems (1985) (6)
Information flow in graphs (1975) (6)
Information flow in one-dimensional Markov systems (1974) (5)
Prediction of HIV-1 RNA Suppression and its Durability during Treatment with Zidovudine/Lamivudine (1998) (5)
Finite time extinction of super-Brownian motions with catalysts (1998) (5)
Stochastic Measure Diffusion Processes (1979) (4)
The construction of a class of diffusions (1964) (4)
Information flow in some classes of Markov systems (1974) (4)
Multilevel Multitype Branching Models of an Information System (1997) (4)
Laws of the iterated logarithm and large deviations for a class of diffusionl processes (1989) (4)
Invasion by rare mutants in a spatial two-type Fisher-Wright system with selection (2011) (4)
Local Stability of McKean–Vlasov Equations Arising from Heterogeneous Gibbs Systems Using Limit of Relative Entropies (2021) (3)
Transience and Recurrence of Random Walks on Percolation Clusters in an Ultrametric Space (2015) (3)
Stochastic Measure Processes (1981) (3)
Introduction to Markov chains (1970) (3)
Stochastic ensembles and hierarchies (1986) (3)
Stable States of Probabilisti Cellular Automata (1977) (2)
Tanaka formula and local time for a class of interacting branching measure-valued diffusions. (2019) (2)
Performance Analysis of Joining the Shortest Queue Model Among a Large Number of Queues (2019) (2)
Propagation of chaos and large deviations in mean-field models with jumps on block-structured networks (2020) (2)
A class of measure-valued markov processes (1978) (2)
Joint Hölder continuity of local time for a class of interacting branching measure-valued diffusions (2019) (2)
Human Connectome Project resting state fMRI data organized into 60 fine-scaled retinotopically organized regions in cortical areas V1, V2 and V3 (2018) (2)
A stochastic explosive reaction system with sampling (1989) (2)
Neural signatures to emotion-related word stimuli may vary (2018) (2)
A Class of Affine Processes Arising as Fluctuation Limits of Super-Brownian Motion in a Super-Brownian Catalytic Medium (2012) (1)
Mutual Singularity of Genealogical Structures of Fleming-Viot and Continuous Branching Processes (1994) (1)
Interaction and Hierarchy in Measure-Valued Processes (1995) (1)
Book Review: Diffusions, superdiffusions and partial differential equations (2004) (1)
Performance of machine learning methods in diagnosing Parkinson’s disease based on dysphonia measures (2017) (1)
A Note on the Feasibility of Application of the Davis Putnam Proof Procedure to Elementary Number Theory (1962) (1)
Multilevel Models of Interacting Diffusions and Large Deviations (1992) (1)
Asymptotic laws and methods in stochastics : a volume in honour of Miklós Csörgö (2015) (1)
Potential theory and non-Markovian chains (1966) (1)
Probabilistic Methods in Applied Mathematics, Volume 1. Edited by A. T. Bharucha-Reid. Academic Press, New York and London (1968). x+291 pp. (1970) (1)
Problems in probability theory, mathematical statistics and theory of random functions. Edited by A. A. Sveshnikov. Translated by Scripta Technica Inc. W.B, Saunders Co., Philadelphia, London, Toronto, 1968. ix + 481 pages. Can. $15.70. (1969) (1)
Large deviations for homozygosity (2016) (1)
Large-time behavior of finite-state mean-field systems with multi-classes (2021) (1)
Random Integral Equations (A. T. Bharucha-Reid) (1974) (1)
Stochastic models : proceedings of the International Conference on Stochastic Models in Honour of Professor Donald A. Dawson, Ottawa, Canada, June 10-13, 1998 (2000) (1)
Limiting behavior of the super-Brownian motion with super-Brownian immigration (2003) (1)
Stochastic Models of Parallel Systems for Global Optimization (1987) (1)
Multilevel mutation-selection systems and set-valued duals (2017) (0)
Stories of institutional and local policy change from Harvard’s Cambridge Health Alliance (2020) (0)
The Local Diffusions of a Harmonic Sheaf (1965) (0)
ANALYTIC ASPECTS OF MULTILEVEL LARGE DEVIATIONS 1 By (2016) (0)
AN IDEAL TEXT FOR A FIRST GRADUATE COURSE (2002) (0)
Lecture notes on discrete Markov systems (1974) (0)
Re-equilibration on Higher Level E1 (Phase 4) (2014) (0)
Long-Time Behaviour: Ergodicity and Non-ergodicity (2014) (0)
Large-Time Behavior of Finite-State Mean-Field Systems With Multiclasses (2022) (0)
Formulation of the Multitype and Multiscale Model (2014) (0)
Review: A. V. Skorohod, Stochastic equations for complex systems (1989) (0)
Book Review: Stochastic equations for complex systems (1989) (0)
Transactions of the fourth Prague conference on information theory, statistical decision functions, random processes. Academic Press, New York and London, 1967, 725 pages. (1968) (0)
Mathematical theory of probability and statistics, by Richard von Mises, edited and complemented by H. Geiringer. Academic Press, New York, 1964. vii + 694 pages. $22.00. (1968) (0)
Neutral Evolution on E1 After Fixation (Phase 3) (2014) (0)
Quasi-deterministic states for Markov systems (1975) (0)
Tanaka Representation and Joint Continuity of Local Time for a Class of Interacting Branching Measure-valued Diffusions (2019) (0)
PR ] 2 3 M ay 2 00 0 Occupation Time Fluctuations in Branching Systems 1 (2021) (0)
Théorie des Probabilities et Quelques Applications, by P.L. Hennequin and A. Tortrat. Masson et Cie., Paris, 1965. 458 pages. Price: 88 F . (1967) (0)
Winding-Up: Proofs of the Theorems 3–11 (2014) (0)
O ct 2 01 5 Multilevel mutation-selection systems and set-valued duals October 7 , 2015 (2015) (0)
Mean-Field Emergence and Fixation of Rare Mutants in the Fisher–Wright Model with Two Types (2014) (0)
Iteration of the Cycle II: Extension to the General Multilevel Hierarchy (2014) (0)
Limit fluctuations of a critical branching particle system in a random medium (1987) (0)
LONG-TIME BEHAVIOR AND COEXISTENCE IN A MUTUALLY CATALYTIC BRANCHING MODEL1 (2002) (0)
EQUIVALENCE OF MARKOV PROCESSES(x) (2010) (0)
A Basic Tool: Dual Representations (2014) (0)
Emergence with M ≥ 2 Lower Order Types (Phases 0,1,2) (2014) (0)
Iteration of the Cycle I: Emergence and Fixation on E2 (2014) (0)
A random walk through Canadian contributions on empirical processes and their applications in probability and statistics (2022) (0)
Methods and Proofs for the Fisher–Wright Model with Two Types (2014) (0)
Multilevel large deviations (2005) (0)
A dual approach to models with multilevel selection (2013) (0)
Occupation Time Fluctuations in Branching Systems A.1. Background on 1-and 2-level Branching Systems A.2. the Palm Formula A.3. Tree Representation of the Palm Measures of R A.4. Second and Third Moments of R (0)
Transience and Recurrence of Random Walks on Percolation Clusters in an Ultrametric Space (2016) (0)
The General (M, M)-Type Mean-Field Model: Emergence, Fixation and Droplets (2014) (0)
O ct 2 01 5 Multilevel mutation-selection systems and set-valued duals August 29 , 2020 (2020) (0)
QUALITATIVE BEHAVIOR 0-P GE STOCHASTIC SYSTEMS (1980) (0)
Formulation of the Main Results in the General Case (2014) (0)
Two papers on the applications of measurevalued diffusion processes (1981) (0)
Book Review: Malliavin calculus with applications to stochastic partial differential equations (2007) (0)
Mean-Field Emergence and Fixation of Rare Mutants: Concepts, Strategy and a Caricature Model (2014) (0)
Random systems in ultrametric spaces (2018) (0)
The catalytic Ornstein-Uhlenbeck process with superprocess catalyst (2014) (0)
INFORMATION FLOW IN ONE-DIMENSIONAL MARKOV SYSTEMS1 (2010) (0)
A graduate course in probability, by Howard G. Tucker. Academic Press, New York and London, 1967. xiii + 273 pages. $14.00. (1968) (0)
GENERALIZED STOCHASTIC INTEGRALS AND EQUATIONSO (2010) (0)
Neural signatures to emotion-related word stimuli may vary (2018) (0)

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What Schools Are Affiliated With Donald A. Dawson?

Donald A. Dawson is affiliated with the following schools: