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A rough describtion of local sets of bounded type for the Gaussian free field

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Local sets of the Gaussian free field (GFF) can be thought of as stopping times for the Brownian motion. A prime example is CLE _4 that can be coupled with the zero boundary GFF as a collection of contour lines of height +-1. We will describe the geometry of local sets of the GFF that have bounded boundary values by showing that they are always contained in a certain iterated version of CLE _4. This is joint work with Avelio Sepúlveda and Wendelin Werner.

This talk is part of the Probability series.

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