Évolution stochastique de Loewner dans des domaines multiple connexes

Translated title of the contribution: Stochastic Loewner evolution in multiply connected domains

Robert O. Bauer, Roland M. Friedrich

Research output: Contribution to journalArticlepeer-review


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.

Translated title of the contributionStochastic Loewner evolution in multiply connected domains
Original languageFrench
Pages (from-to)579-584
Number of pages6
JournalComptes Rendus Mathematique
Issue number8
StatePublished - Oct 15 2004
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)


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