General slit L\"owner chains
Georgy Ivanov, Alexey Tochin, Alexander Vasil'ev

TL;DR
This paper extends L"owner theory to define new slit L"owner chains in the unit disk, enabling the construction of novel SLE-type processes with conformal invariance and domain Markov property, beyond classical examples.
Contribution
It introduces a generalized framework for slit L"owner chains that allows creating new SLE-type processes with key invariance properties.
Findings
New SLE-type processes with conformal invariance
Construction of processes with domain Markov property
Local behavior similar to classical SLE
Abstract
We use general L\"owner theory to define general slit L\"owner chains in the unit disk, which in the stochastic case lead to slit holomorphic stochastic flows. Radial, chordal and dipolar SLE are classical examples of such flows. Our approach, however, allows to construct new processes of SLE type that possess conformal invariance and the domain Markov property.The local behavior of these processes is similar to that of the classical SLE.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsStochastic processes and statistical mechanics · Chemistry and Stereochemistry Studies · Geometric and Algebraic Topology
