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Harmonic measure versus Hausdorff measures on repellers for holomorphic maps

Harmonic measure versus Hausdorff measures on repellers for holomorphic maps

This paper is a continuation of a joint paper of the author with F. Przytycki and M. Urbański. We study a harmonic measure on a boundary of so-called repelling boundary domain; an important example is a basin of a sink for a rational map. Using the results of the above-mentioned …