Drivers, hitting times, and weldings in Loewner's equation
Vlad Margarint,
Tim Mesikepp
Abstract:In addition to conformal weldings , simple curves growing in the upper half plane generate driving functions and hitting times through Loewner's differential equation. While the Loewner transform and its inverse have been carefully examined, less attention has been paid to the maps . We study the continuity properties of these latter transformations and show that uniform driver convergence implies uniform hitting time convergence and uniform welding convergence, even when the corresponding curves do not c… Show more
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