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math.CV2025
On Loewner energy and curve composition
Tim Mesikepp, Yaosong Yang
The composition of Jordan curves and in universal Teichmüller space is defined through the composition of their conformal weldings. We show that w…
math.CV2022
Drivers, hitting times, and weldings in Loewner's equation
Vlad Margarint, Tim Mesikepp
In addition to conformal weldings , simple curves growing in the upper half plane generate driving functions and hitting times through Loewner's differential equatio…
math.CV2022
A deterministic approach to Loewner-energy minimizers
Tim Mesikepp
We study two minimization questions: the nature of curves which minimize the Loewner energy among all curves from 0 to a fixed , and the n…