- Autor
- Technau, Marc
- Technau, Niclas
- TitelA Loewner Equation for Infinitely Many Slits
- Datei
- DOI10.1007/s40315-016-0179-6
- Persistent Identifier
- Erschienen inComputational Methods and Function Theory
- Band17
- Erscheinungsjahr2017
- Heft2
- Seiten255-272
- ISSN2195-3724
- Download Statistik1590
- Peer ReviewJa
- AbstractIt is well-known that the growth of a slit in the upper half-plane can be encoded via the chordal Loewner equation, which is a differential equation for schlicht functions with a certain normalisation. We prove that a multiple slit Loewner equation can be used to encode the growth of the union Γ of multiple slits in the upper half-plane if the slits have pairwise disjoint closures. Under certain assumptions on the geometry of Γ, our approach allows us to derive a Loewner equation for infinitely many slits as well.
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