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arXiv · 0706.4105

Exact factorization of correlation functions in 2-D critical percolation

Jacob J. H. Simmons·Peter Kleban·Robert M. Ziff
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Abstract

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 valid in the upper half-plane, or any conformally equivalent region. We find excellent agreement of our results with high-precision computer simulations. There are indications that our formulas hold more generally.

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Jacob J. H. Simmons, Peter Kleban, Robert M. Ziff. 2007-09-24. Exact factorization of correlation functions in 2-D critical percolation. https://doi.org/10.1103/physreve.76.041106

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