Restricting SLE(8/3 ) to an annulus

Robert O. Bauer

Stochastic Processes and their Applications, 2007, vol. 117, issue 9, 1165-1188

Abstract: We study the probability that chordal in the unit disk from to 1 avoids the disk of radius q centered at zero. We find the initial/boundary value problem satisfied by this probability as a function of x and a=lnq, and show that asymptotically as q tends to 1 this probability decays like exp(-cx/(1-q)) with c=5[pi]/8 for 0

Keywords: SLE; Restriction; Annulus; Conformal; invariance; Elliptic; functions (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0304-4149(06)00191-8
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:117:y:2007:i:9:p:1165-1188

Ordering information: This journal article can be ordered from
http://http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Stochastic Processes and their Applications is currently edited by T. Mikosch

More articles in Stochastic Processes and their Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().