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arXiv · 1201.4750

Harmonic measures of slit sides perpendicular to the domain boundary

Dmitri Prokhorov·Andrey Zakharov
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Abstract

The article is devoted to the geometry of solutions to the chordal Loewner equation which is based on comparison of singular solutions and harmonic measures for the sides of a slit in domains generated by a driving term. It is proved that harmonic measures of two sides of a slit in the upper half-plane which is perpendicular to the real axis are asymptotically equal to each other.

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Dmitri Prokhorov, Andrey Zakharov. 2012-01-23. Harmonic measures of slit sides perpendicular to the domain boundary. https://arxiv.org/abs/1201.4750

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