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• W2019926042 abstract "We present basic properties of Dipolar SLEs, a new version of stochastic Loewner evolutions (SLE) in which the critical interfaces end randomly on an interval of the boundary of a planar domain. We present a general argument explaining why correlation functions of models of statistical mechanics are expected to be martingales and we give a relation between dipolar SLEs and CFTs. We compute SLE excursion and/or visiting probabilities, including the probability for a point to be on the left/right of the SLE trace or that to be inside the SLE hull. These functions, which turn out to be harmonic, have a simple CFT interpretation. We also present numerical simulations of the ferromagnetic Ising interface that confirm both the probabilistic approach and the CFT mapping." @default.
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• W2019926042 date "2005-03-09" @default.
• W2019926042 modified "2023-10-10" @default.
• W2019926042 title "Dipolar stochastic Loewner evolutions" @default.
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• W2019926042 doi "https://doi.org/10.1088/1742-5468/2005/03/p03001" @default.
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