Notes

• Lecture Notes on Dirichlet Forms.
• Frostman's Thesis. This is a "classic" in potential theory, and hard to find in print.

For fun!

• Against all odds. (pdf) (html)
• Collector's problem. (pdf) (html)
• Poisson bursts - A fishy story?
• Factorials!
• Random harmonic series. American Mathematical Monthly 110, 407-416 (May 2003).
• How far is the moon from the sun?
• Wallis's formula for statistics students.
• A fun and frustrating recurrence sequence.
• The Markov property only depends on the finite dimensional distributions of a process.

Research articles

• Reversibility of interacting Fleming-Viot processes with mutation, selection, and recombination. (with S. Feng, J. Vaillancourt, and X. Zhou). Canadian Journal of Mathematics 63, 104-122 (2011).
• Yamada-Watanabe theorem for stochastic evolution equations in infinite dimensions. (with M. Röckner and X. Zhang). Condensed Matter Physics Vol. 11, No 2(54), 247-259 (2008).
• Reversibility for diffusions via quasi-invariance. (with Omar Rivasplata and Jan Rychtář). Acta Univ. Carolinae, Math. et Phys. 48, No. 1, 3-10 (2007).

• Invariant and reversible measures for random walks on Z. (with Omar Rivasplata). Pro Mathematica. XIX (37-38): 117-124 (2005).

• Generalized Mehler semigroups and catalytic branching processes with immigration. (with Don Dawson, Zenghu Li, and Wei Sun). Potential Analysis. 21 (1): 75-97 (2004).

• A central limit theorem and law of the iterated logarithm for a random field with exponential decay of correlations. (with Wei Sun). Canadian Journal of Mathematics 56 (1), 209-224 (2004).

• The maximum Markovian self-adjoint extensions of Dirichlet operators for interacting particle systems. (with Wei Sun). Forum Mathematicum 15 no. 4, 615-638 (2003).

• The law of large numbers and the law of the iterated logarithm for infinite dimensional interacting diffusion processes. (with Wei Sun). Infinite Dimensional Analysis, Quantum Probability and Related Topics 6 No. 3, 489-503 (2003).

• A cocycle proof that reversible Fleming Viot processes have uniform mutation.(with Wei Sun). English slides ; Chinese slides. Comptes Rendus Mathematical Reports, Royal Society of Canada 24, 124-128 (2002).

• On the equation µ_t+s=µ_s*T_sµ_t. (with Wei Sun) Statistics & Probability Letters 52, 183-188 (2001).

• Restricted Minimax Robust Designs for Misspecified Regression Models. (with G. Heo and D.P. Wiens) Canadian Journal of Statistics 29, 117-128 (2001).

• Some exceptional configurations (pdf) (slides) In: Stochastic Models ed. Luis Gorostiza and Gail Ivanoff, CMS Conference Proceedings, Volume 26, American Mathematical Society 419-434 (2000).

• Dirichlet forms: Some infinite dimensional examples. Canadian Journal of Statistics 27, 683-700 (1999).

• Extended Dirichlet spaces. Comptes Rendus Mathematical Reports, Royal Society of Canada 21, 146-152 (1999).

• Positivity preserving forms have the Fatou property. Potential Analysis 10, 373-378 (1999).

• A support property for infinite-dimensional interacting diffusion processes. (with M. Röckner) Comptes Rendus de L'Académie des Sciences 326, 359-364 (1998).

• Generalized Mehler semigroups and applications. (with V.I. Bogachev and M. Röckner) Probability Theory and Related Fields 105, 193-225 (1996).

• A robust generalized Bayes estimator of a multivariate normal mean. (with R.J. Karunamuni) Mathematical Methods of Statistics 4, 472-482 (1995).

• On the local property for positivity preserving coercive forms. Dirichlet forms and Stochastic Processes, Proceedings of the international conference held in Beijing, China, October 25-31, 1993. ed. Z.M. Ma, M. Röckner, and J.A. Yan, pp. 345-354. Walter deGruyter (1995).

• An analytic approach to Fleming-Viot processes with interactive selection. (with L. Overbeck and M. Röckner) Annals of Probability 23, 1-36 (1995).

• Quasi-regular Dirichlet forms: Examples and counterexamples. (with M. Röckner) Canadian Journal of Mathematics 47 (1), 165-200 (1995).

• A Dirichlet form primer. In: Measure-Valued Processes, Stochastic Partial Differential Equations, and Interacting Systems, ed. D.A. Dawson. CRM Proceedings and Lecture Notes, Volume 5, American Mathematical Society, 187-198 (1994).

• Non-symmetric Ornstein-Uhlenbeck processes in Banach space via Dirichlet forms. Canadian Journal of Mathematics 45 (6), 1324-1338 (1993).

• Dirichlet forms with polynomial domain. Mathematica Japonica 37, 1015-1024 (1992).

• Tightness of Gaussian capacities on subspaces. C. R. Math. Rep. Acad. Sci. Canada 14, 125-130 (1992).

• Tightness of general C_1,p capacities on Banach space (with M. Röckner). Journal of Functional Analysis 108, 1-12 (1992).

• Convergence of some martingale-like sequences (with A.N. Al-Hussaini). Revue Roumaine de Mathématiques, Pures et Appliquées 37 (4), 289-297 (1992).

• A result on the infinitely many neutral alleles diffusion model. Journal of Applied Probability 28, 253-267 (1991).

• An alternative compactification for classical Dirichlet forms on topological vector spaces. Stochastics 33, 75-90 (1990).

• Sample path properties of l^p-valued Ornstein-Uhlenbeck processes. Canadian Mathematical Bulletin 33(3), 358-366 (1990).

• Some regularity results on infinite dimensional diffusions via Dirichlet forms. Stochastic Analysis and Applications 6(3), 327-348 (1988).

• Moduli of continuity for some Hilbert space valued Ornstein-Uhlenbeck processes. C. R. Math. Rep. Acad. Sci. Canada 10, 197-201 (1988).

• Regularity of l²-valued Ornstein-Uhlenbeck processes. C. R. Math. Rep. Acad. Sci. Canada 10, 119-124 (1988).