On the Smoothness of the Partition Function for Multiple Schramm–Loewner Evolutions

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Abstract

We consider the measure on multiple chordal Schramm–Loewner evolution (SLEκ) curves. We establish a derivative estimate and use it to give a direct proof that the partition function is C2 if κ< 4.

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Jahangoshahi, M., & Lawler, G. F. (2018). On the Smoothness of the Partition Function for Multiple Schramm–Loewner Evolutions. Journal of Statistical Physics, 173(5), 1353–1368. https://doi.org/10.1007/s10955-018-2165-z

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