40 citations
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math-ph2009★ 1 cited
New percolation crossing formulas and second-order modular forms
Nikolaos Diamantis, Peter Kleban
We consider the three new crossing probabilities for percolation recently found via conformal field theory by Simmons, Kleban and Ziff. We prove that all three of them (i) may be s…
math-ph2007★ 15 cited
Exact factorization of correlation functions in 2-D critical percolation
Jacob J. H. Simmons, Peter Kleban, Robert M. Ziff
By use of conformal field theory, we discover several exact factorizations of higher-order density correlation functions in critical two-dimensional percolation. Our formulas are v…