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Champagne subregions of the unit disc

2011/01/07 by Joanna Pres, Pres, Joanna
Mathematics · #31A15 #31A25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:31A15 #msc:31A25

paper · pdf · doi:10.48550/arxiv.1101.1554

revised arguments, results unchanged

arxiv created 2011/06/20 · arxiv updated 2011/06/21

Abstract

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-Cerdà and Seip.

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