Champagne subregions of the unit disc
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- by Joanna Pres PDF
- Proc. Amer. Math. Soc. 140 (2012), 3983-3992 Request permission
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.References
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Additional Information
- Joanna Pres
- Affiliation: School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland
- Email: joanna.t.pres@gmail.com
- Received by editor(s): May 12, 2011
- Published electronically: March 27, 2012
- Communicated by: Mario Bonk
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 3983-3992
- MSC (2010): Primary 31A15, 31A25
- DOI: https://doi.org/10.1090/S0002-9939-2012-11393-0
- MathSciNet review: 2944737