Diffusing Polygons and Sle(κ, Ρ)

نویسنده

  • ROBERT O. BAUER
چکیده

We give a geometric derivation of SLE(κ, ρ) in terms of con-formally invariant random growing compact subsets of polygons. The parameters ρ j are related to the exterior angles of the polygons. We also show that SLE(κ, ρ) can be generated by a metric Brownian motion , where metric and Brownian motion are coupled and the metric is a pull-back metric of the Euclidean metric of an evolving polygon.

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تاریخ انتشار 2005