TY - JOUR
T1 - Évolution stochastique de Loewner dans des domaines multiple connexes
AU - Bauer, Robert O.
AU - Friedrich, Roland M.
N1 - Funding Information:
E-mail addresses: [email protected] (R.O. Bauer), [email protected] (R.M. Friedrich). 1 Research supported by NSA grant H98230-04-1-0039. 2 Research supported by NSF grant DMS-0111298.
PY - 2004/10/15
Y1 - 2004/10/15
N2 - 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 driving function or input is a diffusion on the associated moduli space. The diffusion stops when it reaches the boundary of the moduli space. We show that for this driving function the family of random growing compacts has a phase transition for κ = 4 and κ = 8, and that it satisfies locality for κ = 6.
AB - 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 driving function or input is a diffusion on the associated moduli space. The diffusion stops when it reaches the boundary of the moduli space. We show that for this driving function the family of random growing compacts has a phase transition for κ = 4 and κ = 8, and that it satisfies locality for κ = 6.
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U2 - 10.1016/j.crma.2004.08.010
DO - 10.1016/j.crma.2004.08.010
M3 - Article
AN - SCOPUS:7244229729
SN - 1631-073X
VL - 339
SP - 579
EP - 584
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 8
ER -