Loewner evolution driven by a stochastic boundary point

Details Loewner evolution driven by a stochastic boundary point Loewner evolution driven by a stochastic boundary point

2012-01-06

arxiv.org/abs/1201.1358v1

Analysis and Mathematical Physics 2011

Mathematics

Complex Variables

23 pages, 6 figures

Scientific paper

10.1007/s13324-011-0019-9

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.

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