Löwner evolution driven by a stochastic boundary point. (English) Zbl 1255.60169
Summary: We consider evolution in the unit disk in which the sample paths are represented by the trajectories of points evolving randomly under the generalized Löwner equation. The driving mechanism differs from the SLE evolution, but nevertheless solutions possess similar invariance properties.
MSC:
| 60K35 | Interacting random processes; statistical mechanics type models; percolation theory |
| 30C35 | General theory of conformal mappings |
| 60J65 | Brownian motion |
| 60J67 | Stochastic (Schramm-)Loewner evolution (SLE) |
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