Geodesic
Tangential Loewner hulls
Joan Lind1
1 University of Tennessee, Department of Mathematics
Annales Fennici Mathematici, Tome 46 (2021) no. 2, pp. 619-631.

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Through the Loewner equation, real-valued driving functions generate sets called Loewner hulls. We analyze driving functions that approach 0 at least as fast as $a (T-t)^r$ as $t \to T$, where $r \in (0, 1/2)$, and show that the corresponding Loewner hulls have tangential behavior at time $T$. We also prove a result about trace existence and apply it to show that the Loewner hulls driven by $a(T-t)^r$ for $r \in (0,1/2)$ have a tangential trace curve.
Keywords: Loewner evolution, Loewner hulls

Joan Lind 1

1 University of Tennessee, Department of Mathematics 
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Joan Lind. Tangential Loewner hulls. Annales Fennici Mathematici, Tome 46 (2021) no. 2, pp. 619-631. http://geodesic.mathdoc.fr/item/AFM_2021_46_2_a1/