Imaginary geometry I: interacting SLEs

Fix constants and θ∈[0,2π), and let h be an instance of the Gaussian free field on a planar domain. We study flow lines of the vector field e[superscript i(h/χ+θ)] starting at a fixed boundary point of the domain. Letting θ vary, one obtains a family of curves that look locally like SLE[subscript κ]...

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Bibliographic Details
Main Authors: Miller, Jason P., Sheffield, Scott Roger
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer-Verlag 2016
Online Access:http://hdl.handle.net/1721.1/104896
https://orcid.org/0000-0002-5951-4933