Byron Schmuland: Publication List
Notes
For fun!
Research articles
 Reversibility of interacting FlemingViot processes with mutation, selection, and recombination.
(with S. Feng, J. Vaillancourt, and X. Zhou). Canadian Journal of Mathematics 63, 104122 (2011).
 YamadaWatanabe theorem for stochastic evolution equations in
infinite dimensions.
(with M. Röckner and X. Zhang).
Condensed Matter Physics Vol. 11, No 2(54), 247259 (2008).

Reversibility for diffusions via quasiinvariance.
(with Omar Rivasplata and Jan Rychtář). Acta Univ. Carolinae, Math. et Phys.
48, No. 1, 310 (2007).
 Invariant and reversible measures for random walks on Z.
(with Omar Rivasplata). Pro Mathematica. XIX (3738): 117124 (2005).

Generalized Mehler semigroups and catalytic
branching processes with immigration.
(with Don Dawson, Zenghu Li, and Wei Sun). Potential Analysis.
21 (1): 7597 (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), 209224 (2004).

The maximum Markovian selfadjoint extensions of Dirichlet operators for interacting particle systems.
(with Wei Sun). Forum Mathematicum 15 no. 4, 615638 (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, 489503 (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, 124128 (2002).

On the equation
µ_{t+s}=µ_{s}*T_{s}µ_{t}.
(with Wei Sun) Statistics & Probability Letters 52, 183188 (2001).
 Restricted Minimax Robust Designs for Misspecified Regression Models.
(with G. Heo and D.P. Wiens)
Canadian Journal of Statistics 29, 117128 (2001).
 Some exceptional configurations
(pdf)
(slides)
In: Stochastic Models
ed. Luis Gorostiza and Gail Ivanoff,
CMS Conference Proceedings, Volume 26,
American Mathematical Society 419434 (2000).

Dirichlet forms: Some infinite dimensional examples.
Canadian Journal of Statistics
27, 683700 (1999).

Extended Dirichlet spaces.
Comptes Rendus Mathematical Reports, Royal Society of Canada
21, 146152 (1999).
 Positivity preserving forms have the
Fatou property.
Potential Analysis 10, 373378 (1999).

A support property for infinitedimensional
interacting diffusion processes.
(with M. Röckner)
Comptes Rendus de L'Académie des Sciences 326, 359364 (1998).
 Generalized Mehler semigroups and applications.
(with V.I. Bogachev and M. Röckner)
Probability Theory and Related Fields 105, 193225 (1996).
 A robust generalized Bayes estimator of a multivariate normal mean.
(with R.J. Karunamuni)
Mathematical Methods of Statistics 4, 472482 (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 2531, 1993.
ed. Z.M. Ma, M. Röckner, and J.A. Yan, pp. 345354.
Walter deGruyter (1995).
 An analytic approach to FlemingViot processes with interactive selection.
(with L. Overbeck and M. Röckner)
Annals of Probability 23, 136 (1995).
 Quasiregular Dirichlet forms: Examples and counterexamples.
(with M. Röckner)
Canadian Journal of Mathematics 47 (1), 165200 (1995).
 A Dirichlet form primer.
In: MeasureValued Processes, Stochastic
Partial Differential Equations, and Interacting
Systems, ed. D.A. Dawson.
CRM Proceedings and Lecture Notes, Volume 5,
American Mathematical Society,
187198 (1994).
 Nonsymmetric OrnsteinUhlenbeck processes in Banach space via Dirichlet forms.
Canadian Journal of Mathematics 45 (6), 13241338 (1993).
 Dirichlet forms with polynomial domain.
Mathematica Japonica 37, 10151024 (1992).
 Tightness of Gaussian capacities on subspaces.
C. R. Math. Rep. Acad. Sci. Canada 14, 125130 (1992).
 Tightness of general C_{1,p}
capacities on Banach space (with M. Röckner).
Journal of Functional Analysis 108, 112 (1992).
 Convergence of some martingalelike sequences (with A.N. AlHussaini).
Revue Roumaine de Mathématiques, Pures et Appliquées 37 (4),
289297 (1992).
 A result on the infinitely many neutral alleles diffusion model.
Journal of Applied Probability 28, 253267 (1991).
 An alternative compactification for classical Dirichlet forms
on topological vector spaces. Stochastics 33, 7590 (1990).
 Sample
path properties of l^{p}valued OrnsteinUhlenbeck processes.
Canadian Mathematical Bulletin 33(3), 358366 (1990).
 Some regularity results on infinite dimensional diffusions via Dirichlet
forms. Stochastic Analysis and Applications 6(3), 327348 (1988).
 Moduli of continuity for some Hilbert space valued OrnsteinUhlenbeck
processes. C. R. Math. Rep. Acad. Sci. Canada 10, 197201 (1988).
 Regularity of l^{2}valued OrnsteinUhlenbeck processes.
C. R. Math. Rep. Acad. Sci. Canada 10, 119124 (1988).