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On exact scaling log-infinitely divisible cascades

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Multiplicative chaos theory originates from the study of energy dissipation in turbulence by Kolmogorov in 1940s. It was developed by Mandelbrot in 1970s and was mathematically rigorously founded by Kahane and Peyriere in 1976 and then by Kahane in 1985. The theory has drawn much of attention recently due to its connection to Liouville quantum gravity. I will talk about the extension of some classical results valid for canonical multiplicative cascades to exact scaling log-infinitely divisible cascades, that includes the extension of Kahane and Peyriere’s results in 1976 and Guivarc’h’s results in 1990. This is joint work with Julien Barral.

This talk is part of the Probability series.

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