Hadamard’s formula and couplings of SLEs with free field

@article{Izyurov2010HadamardsFA,
  title={Hadamard’s formula and couplings of SLEs with free field},
  author={Konstantin Izyurov and Kalle Kyt{\"o}l{\"a}},
  journal={Probability Theory and Related Fields},
  year={2010},
  volume={155},
  pages={35-69}
}
  • Konstantin Izyurov, Kalle Kytölä
  • Published 2010
  • Mathematics, Physics
  • Probability Theory and Related Fields
  • The relation between level lines of Gaussian free fields (GFF) and SLE4-type curves was discovered by O. Schramm and S. Sheffield. A weak interpretation of this relation is the existence of a coupling of the GFF and a random curve, in which the curve behaves like a level line of the field. In the present paper we study these couplings for the free field with different boundary conditions. We provide a unified way to determine the law of the curve (i.e. to compute the driving process of the… CONTINUE READING

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