Problems related to conformal slit-mappings

2018/11/29 by Ikkei Hotta, Hotta, Ikkei, Sebastian Schleißinger +1
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1811.12046

openalex publication_date 2018/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

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