English

Problems related to conformal slit-mappings

Complex Variables 2018-11-30 v1 Probability

Abstract

In this note we discuss some problems related to conformal slit-mappings. On the one hand, classical Loewner theory leads us to questions concerning the embedding of univalent functions into slit-like Loewner chains. On the other hand, a recent result from monotone probability theory motivates the study of univalent functions from a probabilistic perspective.

Keywords

Cite

@article{arxiv.1811.12046,
  title  = {Problems related to conformal slit-mappings},
  author = {Ikkei Hotta and Sebastian Schleißinger},
  journal= {arXiv preprint arXiv:1811.12046},
  year   = {2018}
}
R2 v1 2026-06-23T06:24:51.577Z