Some Properties of Annulus SLE

Dapeng Zhan
2006 Electronic Journal of Probability  
An annulus SLE κ trace tends to a single point on the target circle, and the density function of the end point satisfies some differential equation. Some martingales or local martingales are found for annulus SLE 4 , SLE 8 and SLE 8/3 . From the local martingale for annulus SLE 4 we find a candidate of discrete lattice model that may have annulus SLE 4 as its scaling limit. The local martingale for annulus SLE 8/3 is similar to those for chordal and radial SLE 8/3 . But it seems that annulus SLE 8/3 does not satisfy the restriction property
doi:10.1214/ejp.v11-338 fatcat:rqplmmddf5elxm27bvjxlclsri