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

Details On Exact Multi-fractal Spectrum of the Whole-Plane SLE_kappa On Exact Multi-fractal Spectrum of the Whole-Plane SLE_kappa

2012-03-13

arxiv.org/abs/1203.2756v2

Physics

Mathematical Physics

Scientific paper

We present a one-parameter family of explicit solutions for moments of derivatives of unbounded conformal mappings related to the whole-plane Schramm-Loewner evolution SLE_kappa as well as find exact values of average beta(q)-spectrum for an infinite number of points in the parametric (q,kappa)-plane. Based on the above exact results, we conjecture average beta-spectrum of this version of the SLE_kappa for all values of parameters.

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