Published January 1, 2015
| Version v1
Journal article
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ASYMPTOTIC RATIO OF HARMONIC MEASURES OF SLIT SIDES
Creators
- 1. Saratov NG Chernyshevskii State Univ, 83 Astrakhanskaya St, Saratov 410012, Russia
Description
The article is devoted to the geometry of solutions to the chordal Lowner equation which is based on the comparison of singular solutions and harmonic measures for the sides of a slit in the upper half-plane generated by a driving term. An asymptotic ratio for harmonic measures of slit sides is found for a slit which is tangential to a straight line under a given angle, and for a slit with high order tangency to a circular arc tangential to the real axis.
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