Champagne subregions of the unit disc

Details Champagne subregions of the unit disc Champagne subregions of the unit disc

2011-01-07

arxiv.org/abs/1101.1554v2

Mathematics

Classical Analysis and ODEs

revised arguments, results unchanged

Scientific paper

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.

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