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2021 Some percolations involving the Gaussian free fields
Nathalie Eisenbaum
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Electron. Commun. Probab. 26: 1-8 (2021). DOI: 10.1214/21-ECP379

Abstract

Consider an infinite, connected, locally finite graph with vertex set V. Intuitively a simple point process on V with attractive properties, should percolate more easily than a Bernoulli point process with the same marginales. Although it seems wrong to imagine that it could be true in general, we confirm this intuition on several examples involving Gaussian free fields and permanental free fields.

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Nathalie Eisenbaum. "Some percolations involving the Gaussian free fields." Electron. Commun. Probab. 26 1 - 8, 2021. https://doi.org/10.1214/21-ECP379

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Received: 7 July 2020; Accepted: 4 February 2021; Published: 2021
First available in Project Euclid: 23 March 2021

Digital Object Identifier: 10.1214/21-ECP379

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JOURNAL ARTICLE
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