A level line of the massive Gaussian free field

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• Léonie Papon (Durham University)
• Friday 01 November 2024, 11:45-12:45
• Seminar Room 1, Newton Institute.

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SSDW03 - Geometry, occupation fields, and scaling limits

I will present a coupling between a massive planar Gaussian free field (GFF) and a random curve in which the curve can be interpreted as the level of the field. This coupling is constructed by reweighting the law of the standard GFF -SLE_4 coupling. I will then show that in this coupling, the marginal law of the curve is that of a massive version of SLE _4, called massive SLE _4. This law on curves was orignally introduced by Makarov and Smirnov to describe the scaling limit of a massive version of the harmonic explorer.

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

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