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

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We consider the measure on multiple chordal Schramm–Loewner evolution ($$\textit{SLE}_\kappa $$SLEκ) curves. We establish a derivative estimate and use it to give a direct proof that the partition function is… Click to show full abstract

We consider the measure on multiple chordal Schramm–Loewner evolution ($$\textit{SLE}_\kappa $$SLEκ) curves. We establish a derivative estimate and use it to give a direct proof that the partition function is $$C^2$$C2 if $$\kappa < 4$$κ<4.

Keywords: schramm loewner; partition function

Journal Title: Journal of Statistical Physics
Year Published: 2018

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