arXiv Analytics

Sign in

arXiv:1101.1554 [math.CA]AbstractReferencesReviewsResources

Champagne subregions of the unit disc

Joanna Pres

Published 2011-01-07, updated 2011-06-20Version 2

This paper concerns harmonic measure on the domains that arise when infinitely many disjoint closed discs are removed from the unit disc. It investigates which configurations of discs are unavoidable for Brownian motion, and obtains refinements of related results of Akeroyd, and of Ortega-Cerd\`{a} and Seip.

Comments: revised arguments, results unchanged
Categories: math.CA
Subjects: 31A15, 31A25
Related articles: Most relevant | Search more
arXiv:0906.3481 [math.CA] (Published 2009-06-18)
Brownian motion in a ball in the presence of spherical obstacles
arXiv:math/0512659 [math.CA] (Published 2005-12-30, updated 2007-03-18)
Localized bases in L^2(0,1) and their use in the analysis of Brownian motion
arXiv:2011.01560 [math.CA] (Published 2020-11-03)
Irregular finite order solutions of complex LDE's in unit disc