English

Multiple-paths $SLE_\kappa$ in multiply connected domains

Probability 2018-11-14 v1

Abstract

We define multiple-paths Schramm-Loewner evolution (SLEκSLE_\kappa) in multiply connected domains when κ4\kappa\leq 4 and prove that in annuli, the partition function is smooth. Moreover, we give up-to-constant estimates for the partition function of bi-chordal annulus SLEκSLE_\kappa measure and we establish a connection between this measure and two-sided SLEκSLE_\kappa in the unit disk.

Cite

@article{arxiv.1811.05066,
  title  = {Multiple-paths $SLE_\kappa$ in multiply connected domains},
  author = {Mohammad Jahangoshahi and Gregory F. Lawler},
  journal= {arXiv preprint arXiv:1811.05066},
  year   = {2018}
}
R2 v1 2026-06-23T05:13:25.416Z