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Some Properties of Annulus SLE


 
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1. Title Title of document Some Properties of Annulus SLE
 
2. Creator Author's name, affiliation, country Dapeng Zhan; U. C. Berkeley
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) continuum scaling limit, percolation, SLE, conformal invariance
 
3. Subject Subject classification 82B27, 60K35, 82B43, 60D05, 30C35
 
4. Description Abstract An annulus SLEκ 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 SLE4, SLE8 and SLE8/3. From the local martingale for annulus SLE4 we find a candidate of discrete lattice model that may have annulus SLE4 as its scaling limit. The local martingale for annulus SLE8/3 is similar to those for chordal and radial SLE8/3. But it seems that annulus SLE8/3 does not satisfy the restriction property
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2006-11-28
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/338
 
10. Identifier Digital Object Identifier 10.1214/EJP.v11-338
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 11
 
12. Language English=en
 
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