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A CLT for winding angles of the arms for critical planar percolation


 
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1. Title Title of document A CLT for winding angles of the arms for critical planar percolation
 
2. Creator Author's name, affiliation, country Changlong Yao; Chinese Academy of Mathematics and Systems Science; China
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) critical percolation; incipient infinite cluster; winding angle; central limit theorem; martingale; arm events.
 
3. Subject Subject classification 60K35；82B43
 
4. Description Abstract Consider critical percolation in two dimensions. Under the condition that there are k disjoint alternating open and closed arms crossing the annulus $A(l,n)$, we prove a central limit theorem and variance estimates for the winding angles of the arms (as $n\rightarrow \infty$, $l$ fixed). This result confirms a prediction of Beffara and Nolin (Ann. Probab. 39: 1286-1304, 2011). Using this theorem, we also get a CLT for the multiple-armed incipient infinite cluster (IIC) measures.
 
5. Publisher Organizing agency, location
 
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7. Date (YYYY-MM-DD) 2013-09-23
 
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/2285
 
10. Identifier Digital Object Identifier 10.1214/EJP.v18-2285
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 18
 
12. Language English=en en
 
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