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A note on Loewner energy, conformal restriction and Werner's measure on self-avoiding loops
Published 10 Oct 2018 in math.CV and math.PR | (1810.04578v1)
Abstract: In this note, we establish an expression of the Loewner energy of a Jordan curve on the Riemann sphere in terms of Werner's measure on simple loops of SLE$_{8/3}$ type. The proof is based on a formula for the change of the Loewner energy under a conformal map that is reminiscent of the restriction properties derived for SLE processes.
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