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arXiv · 1803.11489

Weighted graphs and complex Gaussian free fields

Gregory F. Lawler·Petr Panov
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Abstract

We prove a combinatorial lemma about the distribution of directed currents in a complex "loop soup" and use it to give a new proof of the isomorphism relating loop measures and complex Gaussian fields.

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Gregory F. Lawler, Petr Panov. 2018-03-30. Weighted graphs and complex Gaussian free fields. https://arxiv.org/abs/1803.11489

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