6 citations · 16 across the 8 of their papers we have counts for
7 papers · 1 filter
Diffusing polygons and SLE()
Robert O. Bauer, Roland M. Friedrich
We give a geometric derivation of SLE() in terms of conformally invariant random growing subsets of polygons. We relate the parameters to the exterior angles of the poly…
On Chordal and Bilateral SLE in multiply connected domains
Robert O. Bauer, Roland M. Friedrich
We discuss the possible candidates for conformally invariant random non-self-crossing curves which begin and end on the boundary of a multiply connected planar domain, and which sa…
On radial stochastic Loewner evolution in multiply connected domains
Robert O. Bauer, Roland M. Friedrich
We discuss the extension of radial SLE to multiply connected planar domains. First, we extend Loewner's theory of slit mappings to multiply connected domains by establishing the ra…
Stochastic Loewner evolution in multiply connected domains
Robert O. Bauer, Roland M. Friedrich
We construct radial stochastic Loewner evolution in multiply connected domains, choosing the unit disk with concentric circular slits as a family of standard domains. The natural d…
Chordal Loewner families and univalent Cauchy transforms
Robert O. Bauer
We study chordal Loewner families in the upper half-plane and show that they have a parametric representation. We show one, that to every chordal Loewner family there corresponds a…
Discrete Loewner evolution
Robert O. Bauer
We study a one parameter family of discrete Loewner evolutions driven by a random walk on the real line. We show that it converges to the stochastic Loewner evolution (SLE) under r…