On three-point connectivity in two-dimensional percolation

2010/09/07 by Gesualdo Delfino, Jacopo Viti · 1 citation
Mathematics · Physics and Astronomy · Psychology · #Complex Network Analysis Techniques #Continuum percolation theory #Critical exponent #Critical point (mathematics) #Directed percolation #Geometry #Ising model #Limit (mathematics) #Mathematical analysis #Mathematics #Percolation (cognitive psychology) #Percolation critical exponents #Percolation threshold #Physics #Point (geometry) #Potts model #Psychology #Quantum mechanics #Scaling #Scaling limit #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1088/1751-8113/44/3/032001

published as J. Phys. A: Math. Theor. 44 (2011) 032001 · 10 pages, 1 figure

arxiv created 2010/09/07 · openalex publication_date 2010/12/15 · arxiv updated 2014/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We argue the exact universal result for the three-point connectivity of critical percolation in two dimensions. Predictions for Potts clusters and for the scaling limit below p c are also given.

Citations

• Universal amplitude ratios of two-dimensional percolation from field theory
• On the space of quantum fields in massive two-dimensional theories
• Infinite conformal symmetry in two-dimensional quantum field theory
• An introduction to percolation theory
• Critical percolation in finite geometries
• Universal properties of Ising clusters and droplets near criticality
• Exact factorization of correlation functions in two-dimensional critical percolation
• Some generalized order-disorder transformations
• Percolation

Cited by

• Spin clusters and conformal field theory