2019/09/03 by Lind, Joan
#30C35 #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.1909.01151
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 → T, where r ∈ (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 ∈ (0,1/2) have a tangential trace curve.