Level lines of Gaussian Free Field I: Zero-boundary GFF
نویسندگان
چکیده
منابع مشابه
Contour lines of the two-dimensional discrete Gaussian free field
We prove that the chordal contour lines of the discrete Gaussian free field converge to forms of SLE(4). Specifically, there is a constant λ > 0 such that when h is an interpolation of the discrete Gaussian free field on a Jordan domain — with boundary values −λ on one boundary arc and λ on the complementary arc — the zero level line of h joining the endpoints of these arcs converges to SLE(4) ...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2017
ISSN: 0304-4149
DOI: 10.1016/j.spa.2016.07.009