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Percolation for level-sets of Gaussian free fields on metric graphs

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RGMW06 - RGM follow up

In this talk, I will present a new result on the chemical distance for percolation of level-sets for Gaussian free fields on metric graphs in two dimensions. I will try to present a sketch of our proof, which is based on analyzing a certain exploration martingale. Time permitting, I will also discuss some other potential applications as well as related open problems. Based on joint work with Mateo Wirth.

This talk is part of the Isaac Newton Institute Seminar Series series.

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