Publications 1998-2004

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.