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arxiv: 1811.12046 · v1 · pith:4JLPWHIWnew · submitted 2018-11-29 · 🧮 math.CV · math.PR

Problems related to conformal slit-mappings

classification 🧮 math.CV math.PR
keywords conformalfunctionshandloewnerproblemsrelatedslit-mappingstheory
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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.

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