Exact factorization of correlation functions in 2-D critical percolation
arXiv:0706.4105 · doi:10.1103/PhysRevE.76.041106
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.
6 pages, 3 figures. Oral presentation given at STATPHYS 23. V2: Minor additions and corrections, figures improved