- Obliquely Reflected Brownian
Motion in Non-Smooth Planar Domains, with K. Burdzy, Z-Q. Chen,
and K. Ramanan, Annals of Prob., to appear.
- The Uniformization
Theorem , now included in forthcoming Complex Analysis,
Cambridge Univ. Press, to appear.
Lens chains and the geodesic algorithm for conformal mapping
The geodesic algorithm, with proof of convergence, can also be found in
Complex Analysis, Cambridge Univ. Press, to appear.
Angular Derivatives and Lipschitz Majorants.
Much of this material is now incorporated into the book Harmonic Measure,
with J. Garnett (see below).
Conformal Welding for Finitely Connected Regions
, Comput. Methods Funct. Theory 11 (2011), No. 2, 655--669.
- Collisions and Spirals
of Loewner traces, with J. Lind and S. Rohde, Duke Math. J.
154 (2010), 527-573.
- Area, Capacity, and Diameter
versions of Schwarz's Lemma
with R. Burckel, D. Minda, P. Poggi-Corradini, and T. Ransford,
Conform. Geom. Dyn. 12 (2008), 133-152.
Convergence of a variant of the Zipper algorithm for conformal mapping,
with S. Rohde, SIAM J. Numer. Anal. 45(2007), 2577-2609.
Traps for Reflected Brownian Motion,
with K. Burdzy and Z-Q. Chen, Math. Zeit. 252(2006), 103-132.
The Loewner differential equation and slit mappings,
with S. Rohde, Jour. Amer. Math. Soc., 18(2005), 763-778.
with J. Garnett, Cambridge University Press,
2005, 587 pp.
Table of Contents, Typos, corrections, etc.
- A few of my publications:
- Math Reviews of my publications:
- Harmonic Measure
by C. Bishop, Bull. Amer. Math. Soc. 44 (2007), 267-276.
begins with a well-written introduction to the subject.
The material in these publications and preprints is based upon work
supported by the National Science Foundation, most recently under
Grant No. DMS-0900814.
Any opinions, findings, and conclusions or recommendations expressed
in this material are those of the author(s) and do not
necessarily reflect the views of the National Science Foundation.
Questions? Send them to me at:
Return to Don Marshall's home page.