Diffusing polygons and SLE(κ,ρ)
Bauer, Robert O. ; Friedrich, Roland M.
Illinois J. Math., Tome 50 (2006) no. 1-4, p. 93-105 / Harvested from Project Euclid
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We give a geometric derivation of $\text{SLE}(\kappa,\rho)$ in terms of conformally invariant random growing compact subsets of polygons. The parameters $\rho_j$ are related to the exterior angles of the polygons. We also show that $\text{SLE}(\kappa,\rho)$ 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.
Publié le : 2006-05-15
Classification:  60K35,  60D05,  60J65 
@article{1258059471,
     author = {Bauer, Robert O. and Friedrich, Roland M.},
     title = {Diffusing polygons and SLE($\kappa$,$\rho$)},
     journal = {Illinois J. Math.},
     volume = {50},
     number = {1-4},
     year = {2006},
     pages = { 93-105},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258059471}
}

Bauer, Robert O.; Friedrich, Roland M. Diffusing polygons and SLE(κ,ρ). Illinois J. Math., Tome 50 (2006) no. 1-4, pp.  93-105. http://gdmltest.u-ga.fr/item/1258059471/