English

Loewner evolution driven by a stochastic boundary point

Complex Variables 2015-03-19 v1

Abstract

We consider evolution in the unit disk in which the sample paths are represented by the trajectories of points evolving randomly under the generalized Loewner equation. The driving mechanism differs from the SLE evolution, but nevertheless solutions possess similar invariance properties.

Cite

@article{arxiv.1201.1358,
  title  = {Loewner evolution driven by a stochastic boundary point},
  author = {Georgy Ivanov and Alexander Vasil'ev},
  journal= {arXiv preprint arXiv:1201.1358},
  year   = {2015}
}

Comments

23 pages, 6 figures

R2 v1 2026-06-21T20:01:09.568Z