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Stationarity of SLE

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Abstract

A new method to study a stopped hull of SLE κ (ρ) is presented. In this approach, the law of the conformal map associated to the hull is invariant under a SLE induced flow. The full trace of a chordal SLE κ can be studied using this approach. Some example calculations are presented.

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Author notes

  1. Antti Kemppainen

    Present address: Université Paris-Sud 11, Orsay Cedex, France

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, 00014, Helsinki, Finland

    Antti Kemppainen

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  1. Antti Kemppainen
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Correspondence to Antti Kemppainen.

Additional information

This work was financially supported by Academy of Finland and by Finnish Academy of Science and Letters, Vilho, Yrjö and Kalle Väisälä Foundation.

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Kemppainen, A. Stationarity of SLE. J Stat Phys 139, 108–121 (2010). https://doi.org/10.1007/s10955-010-9929-4

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  • DOI: https://doi.org/10.1007/s10955-010-9929-4

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