Donald A. Dawson

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Professor Emeritus and Distinguished Research Professor
School of Mathematics and Statistics, Ottawa, Canada

Contact Information

Address:
School of Mathematics and Statistics
Carleton University
1125 Colonel By Drive
Ottawa, Canada K1S5B6

Email: ddawson@math.carleton.ca
Fax: 613-520-3822
Telephone:  613-520-2600 x 2167

 

Research Interests
Stochastic Processes and their Applications
Population and Evolution Models
Stochastic Analysis
Measure-Valued Processes
Hierarchical Mean-Field Analysis

Education
B.Sc. Honours Mathematics and Physics, McGill University, 1958.
M.Sc. Mathematics, McGill University, 1959.
Ph.D. Mathematics, Massachusetts Institute of Technology, 1963

Academic and Professional Appointments
1962-1963. Senior Research Engineer, Raytheon Corp. Space Division, Massachusetts
1963-1966. Assistant Professor, McGill University, Department of Mathematics
1967-1970. Associate Professor, McGill University. Department of Mathematics
1970-1971. Associate Professor, Carleton University Department of Mathematics
1971- 1996 Professor of Mathematics and Statistics, Carleton University
1996- 2000 Director, The Fields Institute for Research in Mathematical Sciences, Toronto, Canada
1996-2000  Adjunct Professor, Departments of Mathematics and Statistics, University of Toronto
1999-  Distinguished Research Professor and Professor Emeritus, Carleton University.
2000-  Adjunct Professor, Department of Mathematics and Statistics, McGill University.

Professional Activities and Awards
Member, ICM Fields Medal Committee, 2006
President, Bernoulli Society, 2003-2005
Chair, Scientific Council, EURANDOM, 2004-
Member, International review of Mathematics, U.K. 2003.
Member, NSERC Grant Selection Committee for the Statistical Sciences, 1982-1985; Chair, 1985.
Member, NSERC Committee on Research Manpower, 1986-1988.
Member, NSERC Committee on International Relations, 1992-1994.
Member, NSERC Task Force on Strategy Implementation, 1995.
Member, Committee on U.S.Mathematical Sciences Research Institutes,  Board on Mathematical   Sciences, National Research Council,1998.
Member, Board of National Institute for Statistical Sciences, U.S.A., 1998-2000.
Fellow of the International Statistical Institute, elected 1975.
Fellow of the Institute of Mathematical Statistics, elected 1977.
Killam Senior Research Scholar 1977-1979
Associate Editor, Canadian Journal of Statistics, 1980-1987
Associate Editor, Annals of Probability, 1974-1978, and 1988-1991.
Member, Advisory Board, Stochastic Processes and their Applications 1982- 2000.
Co-Editor-in-Chief, Canadian Journal of Mathematics, 1988-1993.
Associate Editor, Electronic Journal of Probability, 1995-
Editor, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2000-
Member, Board of Directors, Carleton University - University of Ottawa Laboratory for Research in Statistics and Probability, 1982-.
Fellow of the Royal Society of Canada, Academy of Sciences, elected 1987.
John H. Barrett Memorial Lecturer, University of Tennessee, 1992-1993.
Carleton University Research Achievement Award 1989-1990, 1993-1994
Gold Medal of the Statistical Society of Canada, 1991.
Jeffrey-Williams Lecturer, Canadian Mathematical Society, 1994
Invited lecture, International Congress of Mathematicians, Zurich, 1994.
Special Invited Lecture, Institute of Mathematical Statistics, 1996
Fourth World Congress of the Bernoulli Society, Vienna, SPA Lecturer, 1996
Max Planck Research Award for International Cooperation, 1996-2001
CRM-Fields Institute Prize – 2004
Honourary Member: Statistical Society of Canada - 2004
Fields Institute Fellow - 2004

Research Areas
Probability, stochastic processes, measure-valued processes, hierarchical stochastic system; applications to communications, economics and finance, genetics and evolutionary biology.

Ph.D. and Postdoctoral Supervision
25 Ph.D. theses and 29 Postdoctoral Fellows supervised.

Publications: Over 100 papers in refereed journals and 7 monographs published.

Journal Papers

In press

  1. D. A. Dawson, J. Tang and Y.Q. Zhao (2005).  Balancing queues by mean field interaction,  Queueing Systems, to appear
  2. D.A. Dawson, K. Fleischmann and J. Xiong (2005). Strong uniqueness for cyclically symbiotic branching diffusions, Statistics and Probability Letter, to appear.
  3. D.A. Dawson, L.G. Gorostiza and A. Wakolbinger, Degrees of transience and recurrence and hierarchical random walk, Potential Analysis, vol. 22, no.4(2005).

2004

  1. D.A. Dawson and Z. Li, Non-differentiable convolution semigroups and related Ornstein-Uhlenbeck processes, Potential Analysis, 20(2004), 285-302.
  2. D.A. Dawson. Review of  Diffusions, superdiffusions and partial differential equations by E.B. Dynkin, Bulletin of the AMS 41(2004), 245-252.
  3. T. Cox, D.A. Dawson and A. Greven. Mutually catalytic super branching random walks: large finite systems and renormalization analysis, Memoirs of the American Mathematical Society Vol. 171, No. 809 (2004), 97 pages.
  4. D.A. Dawson, B. Schmuland and W. Sun. Generalized Mehler semigroups and catalytic branching processes with immigration, Potential Analysis 21(2004), 75-97.
  5. D.A. Dawson, L.G. Gorostiza and A. Wakolbinger, Hierarchical equilibria of branching populations, Electronic Journal of Probability Volume 9, paper 12, 2004, 316-381.
  6. D. Dawson and P. Del Moral, Large deviations for interacting processes in the strong topology, to appear in Statistical Modeling and Analysis for Complex Data Problem,  edited by Bruno Rémillard and Pierre Duchesne, Kluwer 2004.
  7. D.A. Dawson, Z. Li and X. Zhou, Superprocesses with coalescing Brownian spatial motion as large scale limits, J. Theoret. Prob. 17(2004), 673-692.

2003

  1. D.A. Dawson, K. Fleischmann, L. Mytnik, E.A. Perkins and J. Xiong (2003). Mutually catalytic branching in the plane: uniqueness, Ann. l'Institut Henri Poincaré, 39(2003), 135-191
  2. D.A. Dawson and Z. Li. Construction of superprocesses with dependent spatial motion from one-dimensional excursions, Probability Theory and Related Fields 127(2003), 37-61.
  3. D.A. Dawson and A. Greven. State dependent multitype state dependent branching processes and their longtime behavior, Elect. J. Probab. Vol 8 (2003), paper 4, 1-93.
  4. D.A. Dawson, Z. Li and H. Wang. A degenerate stochastic partial differential equation for the purely atomic superprocess with dependent spatial motion, Infinite Dimensional Analysis and Quantum Probability 6(2003), 597-607.

2002

  1. D.A. Dawson, A.M. Etheridge, K. Fleischmann, L. Mytnik, E.A. Perkins and J. Xiong. Mutually catalytic branching in the plane: infinite measure states, Electronic Journal of Probability, Electronic Journal of Probability paper 14, 1-61.  Electronic Journal of Probability - Vol. 7 (2002)
  2. D.A. Dawson, A.M. Etheridge, K. Fleischmann, L. Mytnik, E.A. Perkins and J. Xiong. Mutually catalytic branching in the plane: finite measure states, Annals of Probability, Annals of Probability, 30(2002), 1681-1762.
  3. D.A. Dawson, K. Fleischmann, L. Mytnik, E.A. Perkins and J. Xiong (2000). Mutually catalytic branching in the plane: uniqueness, Ann. l'Institut Henri Poincare, 39(2003), 135-191.
  4. D.A. Dawson, K. Fleischmann and P. Moerters, Strong clumping of super-Brownian motion in a stable catalytic medium, Annals of Probability, 30(2002), 1606-1656.
  5. D.A. Dawson, L.G. Gorostiza and Z. Li. Non-local branching superprocesses and related models, Acta Applicandae Mathematicae, 74 (2002), 93-112.

2001

  1. D.A. Dawson and S. Feng. Large deviations for the Fleming-Viot process with neutral mutation and selection II, Stochastic Processes and their Applications 92, 2001, 131-162.
  2. D.A. Dawson, L.G. Gorostiza and A. Wakolbinger. Occupation time fluctuations in branching systems, Journal of Theoretical Probability, 2001.
  3. D.A. Dawson, Z. Li and H. Wang. Superprocesses with dependent spatial motion and general branching densities, Electronic Journal of Probability 6(2001), paper 25, 1-33.   Electronic Journal of Probability - Vol. 6 (2001)

2000

  1. D.A. Dawson, K. Fleischmann and C. Mueller. Finite time extinction of superprocesses with catalysts, Annals of Probability, 28, 2000, 603-642.
  2. D.A. Dawson, J. Vaillancourt and H. Wang. Stochastic partial differential equations for a class of interacting measure-valued diffusions, Annales de L'Institut Henri-Poincare, Probab. et Statistiques 36, 2(2000), 167-180

1999

  1. D.A. Dawson and A. Greven. Hierarchically interacting Fleming-Viot processes with selection and mutation: multiple space time scale analysis and quasi-equilibria, Electronic J. of Probability Paper no. 4, pages 1-81. Electronic Journal of Probability - Vol. 4 (1999)

1998

  1. D.A. Dawson and S. Feng. Large deviations for the Fleming-Viot process with neutral mutation and selection, Stoch. Proc. Appl. 77 (1998), 207-222.
  2. D.A. Dawson and E.A. Perkins. Long-time behaviour and co-existence in a mutually catalytic branching model, Ann. Probab., 26 (1998), 1088-1138.
  3. D.A. Dawson, K. Fleischmann and G. Leduc. Continuous dependence of a class of superprocesses on branching parameters and applications, Ann. Probab., 26(1998), 652-601.

Research Monographs, Chapters in Books and Lecture Notes

D.A. Dawson and E.A. Perkins (1999). Measure-valued processes and Renormalization of Branching Particle Systems, in Stochastic Partial Differential Equations: Six Perspectives, edited by R. Carmona and B. Rozovskii, American Mathematical Society Mathematical Surveys and Monographs, Vol. 64, pp. 45-106.

Conference Proceedings Papers

  1. D.A. Dawson, L.G. Gorostiza and A. Wakolbinger   Hierarchical random walks, in Asymptotic Methods in Stochastics, eds.L. Horváth and B. Szyszkowicz,  Fields Institute Communications and Monograph Series 44, Amer. Math. Soc., 2004.
  2. D.A. Dawson (2000). Stochastic models of evolving information systems, in Stochastic Models, eds. L.G. Gorostiza dn B.G. Ivanoff, CMS Conference Proceedings 26, pp. 1-14.
  3. D.A. Dawson and K. Fleischmann (2000). Catalytic and mutually catalytic branching, in Infinite Dimensional Stochastic Analysis , eds. Ph. Clément, F. den Hollander, J. van Neerven and B. de Pagter, Royal Netherlands Academy, Amsterdam, pp. 145-170.
  4. D.A. Dawson and K. Fleischmann (2000). Catalytic and mutually catalytic super-Brownian motions, to appear in Proceedings of the 3rd Ascona Conference on Stochastic Analysis, Random Fields and Applications, 1999.
  5. D.A. Dawson and J. Gaertner (1998), Analytic aspects of multilevel large deviations, in Asymptotic Methods in Probability and Statistics, ed. B. Szyszkowicz, Elsevier, Amsterdam, pp. 401-440.

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