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arXiv · 1710.00854

On the smoothness of the partition function for multiple Schramm-Loewner evolutions

Mohammad Jahangoshahi·Gregory F. Lawler
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Abstract

We consider the measure on multiple chordal Schramm-Loewner evolution ($SLE_\kappa$) curves. We establish a derivative estimate and use it to give a direct proof that the partition function is $C^2$ if $\kappa<4$.

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Mohammad Jahangoshahi, Gregory F. Lawler. 2017-10-02. On the smoothness of the partition function for multiple Schramm-Loewner evolutions. https://doi.org/10.1007/s10955-018-2165-z

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