General slit L\"owner chains
Complex Variables
2014-06-06 v1 Probability
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.
Cite
@article{arxiv.1404.1253,
title = {General slit L\"owner chains},
author = {Georgy Ivanov and Alexey Tochin and Alexander Vasil'ev},
journal= {arXiv preprint arXiv:1404.1253},
year = {2014}
}