2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/186430By 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 improvedMathematical PhysicsDisordered Systems and Neural NetworksStatistical MechanicsHigh Energy Physics - Theorytext