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arXiv · 2004.09104

Scaling Limits of Crossing Probabilities in Metric Graph GFF

Mingchang Liu·Hao Wu
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Abstract

We consider metric graph Gaussian free field (GFF) defined on polygons of $\delta\mathbb{Z}^2$ with alternating boundary data. The crossing probabilities for level-set percolation of metric graph GFF have scaling limits. When the boundary data is well-chosen, the scaling limits of crossing probabilities can be explicitly constructed as "fusion" of multiple SLE$_4$ pure partition functions.

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Mingchang Liu, Hao Wu. 2020-04-20. Scaling Limits of Crossing Probabilities in Metric Graph GFF. https://arxiv.org/abs/2004.09104

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