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arXiv · 1710.09301

The Loewner Equation for Multiple Hulls

Andrew Starnes
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Abstract

Kager, Nienhuis, and Kadanoff conjectured that the hull generated from the Loewner equation driven by two constant functions with constant weights could be generated by a single rapidly and randomly oscillating function. We prove their conjecture and generalize to multiple continuous driving functions. In the process, we generalize to multiple hulls a result of Roth and Schleissinger that says multiple slits can be generated by constant weight functions. The proof gives a simulation method for hulls generated by the multiple Loewner equation.

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Andrew Starnes. 2017-10-25. The Loewner Equation for Multiple Hulls. https://arxiv.org/abs/1710.09301

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