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arXiv · 1202.3948

The multiple-slit version of Loewner's differential equation and pointwise Hölder continuity of driving functions

Sebastian Schleißinger
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Abstract

We consider the chordal Loewner differential equation for multiple slits in the upper half-plane and relations between the pointwise Hölder continuity of the driving functions and the generated hulls. The first result generalizes a result of Lind that gives a sufficient condition for driving functions to generate simple curves. The second result translates the property that the hulls locally look like straight lines at their starting points into a condition for the driving functions.

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Sebastian Schleißinger. 2015-02-04. The multiple-slit version of Loewner's differential equation and pointwise Hölder continuity of driving functions. https://doi.org/10.5186/aasfm.2012.3720

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