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On Exact Multi-fractal Spectrum of the Whole-Plane SLE

Mathematical Physics 2019-02-26 v4 Statistical Mechanics Complex Variables math.MP Probability

Abstract

We consider the whole-plane Shramm-Loewner evolution. Using exact solutions of fundamental equations for moments of derivative of conformal mappings we determine its average integral means beta-spectrum.

Keywords

Cite

@article{arxiv.1203.2756,
  title  = {On Exact Multi-fractal Spectrum of the Whole-Plane SLE},
  author = {Igor Loutsenko and Oksana Yermolayeva},
  journal= {arXiv preprint arXiv:1203.2756},
  year   = {2019}
}

Comments

Significantly updated version. arXiv admin note: substantial text overlap with arXiv:1201.4381