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

   
@article{EJP2285,
	author = {Changlong Yao},
	title = {A CLT for winding angles of the arms for critical planar percolation},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {18},
	year = {2013},
	keywords = {critical percolation; incipient infinite cluster; winding angle; central limit theorem; martingale; arm events.},
	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.},
	pages = {no. 85, 1-20},
	issn = {1083-6489},
	doi = {10.1214/EJP.v18-2285},    
        url = {http://ejp.ejpecp.org/article/view/2285}}