Exact factorization of correlation functions in 2-D 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.

6 pages, 3 figures. Oral presentation given at STATPHYS 23. V2: Minor additions and corrections, figures improved

References in corpus (2)

• Critical Percolation in Finite Geometries
• Anchored Critical Percolation Clusters and 2-D Electrostatics

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