2008/10/06 by Federico Camia, Camia, Federico
Mathematics · Physics and Astronomy · #30C35 #60D05 #60K35 #82B27 #82B43 #Cluster (spacecraft) #Computer science #Convergence (economics) #Critical exponent #FOS: Mathematics #FOS: Physical sciences #Geometry #Limit (mathematics) #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Percolation (cognitive psychology) #Percolation critical exponents #Percolation threshold #Physics #Probability (math.PR) #Quantum mechanics #Random Matrices and Applications #Scaling #Scaling limit #Statistical Mechanics (cond-mat.stat-mech) #Statistical physics #Stochastic processes and statistical mechanics #cond-mat.stat-mech #math-ph #math.MP #math.PR #msc:30C35 #msc:60D05 #msc:60K35 #msc:82B27 #msc:82B43
paper · pdf · doi:10.48550/arxiv.0810.1002
published in arXiv (Cornell University) (Cornell University) · 16 pages, 1 figure; written for a special issue of Satistica Neerlandica dedicated to EURANDOM's tenth anniversary
arxiv created 2008/10/06 · openalex publication_date 2008/10/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a review of the recent progress on percolation scaling limits in two dimensions. In particular, we will consider the convergence of critical crossing probabilities to Cardy's formula and of the critical exploration path to chordal SLE(6), the full scaling limit of critical cluster boundaries, and near-critical scaling limits.