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arxiv: 1411.4799 · v1 · pith:6WSCMB7Lnew · submitted 2014-11-18 · 🧮 math.CV

On driving functions generating quasislits in the chordal Loewner-Kufarev equation

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keywords chordaldrivingequationloewner-kufarevcorrespondingdownarrow0everyexists
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We prove that for every $C>0$ there exists a driving function $U:[0,1]\to\mathbb{R}$ such that the corresponding chordal Loewner-Kufarev equation generates a quasislit and $ \limsup_{h\downarrow0}\frac{|U(1)-U(1-h)|}{\sqrt{h}}=C. $

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