Abstract
We prove a combinatorial statement about the distribution of directed currents in a complex “loop soup” and use it to give a new proof of the isomorphism, which relates loop measures and complex Gaussian free fields.
Citation
Gregory F. Lawler. Petr Panov. "Weighted graphs and complex Gaussian free fields." Electron. Commun. Probab. 24 1 - 9, 2019. https://doi.org/10.1214/19-ECP225