title: Exact factorization of correlation functions in two-dimensional critical percolation.
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.
authors.affiliation: LASST and Department of Physics & Astronomy, University of Maine, Orono, Maine 04469, USA. j.simmons1@physics.ox.ac.uk
authors.forename: Jacob J H
authors.initials: JJ
authors.lastname: Simmons
authors.forename: Peter
authors.initials: P
authors.lastname: Kleban
authors.forename: Robert M
authors.initials: RM
authors.lastname: Ziff