Matches in DBpedia 2015-10 for { ?s ?p "A conformal loop ensemble (CLEκ) is a random collection of non-crossing loops in a simply connected, open subset of the plane. These random collections of loops are indexed by a parameter κ, which may be any real number between 8/3 and 8. CLEκ is a loop version of the Schramm-Loewner evolution: SLEκ is designed to model a single discrete random interface, while CLEκ models a full collection of interfaces.In many instances for which there is a conjectured or proved relationship between a discrete model and SLEκ, there is also a conjectured or proved relationship with CLEκ. For example:CLE3 is the limit of interfaces for the critical Ising model.CLE4 may be viewed as a set of level lines of the Gaussian free field.CLE16/3 is a scaling limit of cluster interfaces in critical FK percolation.CLE6 is a scaling limit of critical percolation on the triangular lattice."@en }
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- Conformal_loop_ensemble abstract "A conformal loop ensemble (CLEκ) is a random collection of non-crossing loops in a simply connected, open subset of the plane. These random collections of loops are indexed by a parameter κ, which may be any real number between 8/3 and 8. CLEκ is a loop version of the Schramm-Loewner evolution: SLEκ is designed to model a single discrete random interface, while CLEκ models a full collection of interfaces.In many instances for which there is a conjectured or proved relationship between a discrete model and SLEκ, there is also a conjectured or proved relationship with CLEκ. For example:CLE3 is the limit of interfaces for the critical Ising model.CLE4 may be viewed as a set of level lines of the Gaussian free field.CLE16/3 is a scaling limit of cluster interfaces in critical FK percolation.CLE6 is a scaling limit of critical percolation on the triangular lattice.".