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Liouville quantum gravity via multiplicative cascades

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I will discuss some constructions of random measures via multiplicative cascades and Gaussian multiplicative chaos. In particular, I will be interested in the special case of Liouville quantum gravity, where the density of the measure corresponds in some sense to the “exponential” of a 2d Gaussian free field. I will talk about a new construction of this measure using “local sets” of the field, which is based on the classical multiplicative cascades approach. This is joint work with Juhan Aru and Avelio Sepulveda.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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