paper

Harmonic measure of the outer boundary of colander sets

arXiv:1912.00247

Abstract

We present two companion results: Phragmén-Lindelöf type tight bounds on the minimal possible growth of subharmonic functions with recurrent zero set, and tight bounds on the maximal possible decay of the harmonic measure of the outer boundary of colander sets.

arXiv comment28 pages, 3 figures