Рубрика: 
УДК: 
517.54
Язык публикации: 
английский

ASYMPTOTIC RATIO OF HARMONIC MEASURES OF SLIT SIDES

Аннотация: 

The article is devoted to the geometry of solutions to the chordal Löwner 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.

DOI: 
10.18500/1816-9791-2015-15-2-160-167
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