Critical percolation exploration path and \(\mathrm{SLE}_{6}\): a proof of convergence

DOI10.1007/s00440-006-0049-7zbMath1126.82007arXivmath/0604487OpenAlexW2099626568MaRDI QIDQ2642928

Publication date: 6 September 2007

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604487

zbMATH Keywords

percolation conformal invariance critical behaviour continuum scaling limit triangular lattice stochastic Löwner evolution (SLE)

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) General theory of conformal mappings (30C35) Percolation (82B43) Critical phenomena in equilibrium statistical mechanics (82B27)

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