Random Curves by Conformal Welding

Details Random Curves by Conformal Welding Random Curves by Conformal Welding

2009-12-17

arxiv.org/abs/0912.3423v1

Mathematics

Complex Variables

5 pages

Scientific paper

We construct a conformally invariant random family of closed curves in the
plane by welding of random homeomorphisms of the unit circle given in terms of
the exponential of Gaussian Free Field. We conjecture that our curves are
locally related to SLE$(\kappa)$ for $\kappa<4$.

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