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arXiv · 1412.3700

Higher moments of the natural parameterization for SLE curves

Mohammad A. Rezaei·Dapeng Zhan
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Abstract

In this paper, we will show that the higher moments of the natural parametrization of SLE curves in any bounded domain in the upper half plane is finite. We prove this by estimating the probability that an SLE curve gets near n given points.

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Mohammad A. Rezaei, Dapeng Zhan. 2017-07-21. Higher moments of the natural parameterization for SLE curves. https://doi.org/10.1214/15-aihp712

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