Geometric description of some Loewner chains with infinitely many slits
Complex Variables
2023-09-25 v1 Analysis of PDEs
Abstract
We study the chordal Loewner equation associated with certain driving functions that produce infinitely many slits. Specifically, for a choice of a sequence of positive numbers and points of the real line , we explicitily solve the Loewner PDE in . Using techniques involving the harmonic measure, we analyze the geometric behaviour of its solutions, as .
Keywords
Cite
@article{arxiv.2309.12517,
title = {Geometric description of some Loewner chains with infinitely many slits},
author = {Eleftherios Theodosiadis and Konstantinos Zarvalis},
journal= {arXiv preprint arXiv:2309.12517},
year = {2023}
}