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Some recent aspects of random conformally invariant systems. (English) Zbl 1370.60142
Bovier, Anton (ed.) et al., Mathematical statistical physics. École d’Été de Physique des Houches session LXXXIII, ESF Summer school École thématique du CNRS, Les Houches, France, July 4–29, 2005. Amsterdam: Elsevier (ISBN 978-0-444-52813-1/hbk). 57-99 (2006).
Summary: These are the lecture notes from a course given in July 2005 at the summer school in Les Houches. We describe some recent results concerning two-dimensional conformally invariant systems. In particular, we discuss conformally invariant measures on loops and conformal loop-ensembles (CLE).
For the entire collection see [Zbl 1191.82003].

MSC:
60J67 Stochastic (Schramm-)Loewner evolution (SLE)
60K35 Interacting random processes; statistical mechanics type models; percolation theory
82-02 Research exposition (monographs, survey articles) pertaining to statistical mechanics
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
82B41 Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics
82B43 Percolation
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