260 citations
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Showing 2010 · math.PRShow all
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math.PR2010★ 1 cited
Conformal Loop Ensembles: The Markovian characterization and the loop-soup construction
Scott Sheffield, Wendelin Werner
For random collections of self-avoiding loops in two-dimensional domains, we define a simple and natural conformal restriction property that is conjecturally satisfied by the scali…
math.PR2010★ 2 cited
Phase separation in random cluster models I: uniform upper bounds on local deviation
Alan Hammond
This is the first in a series of three papers that addresses the behaviour of the droplet that results, in the percolating phase, from conditioning the Fortuin-Kasteleyn planar ran…