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Gaussian Multiplicative Chaos on balls: Laplace transforms, small deviations and some connections with maximal packing

Maciej Wiśniewolski
Oct. 12, 2023, 12:15 p.m.
room 3160
Seminar of Probability Group

During my talk i will show some new representations of Laplace transforms of the Gaussian Multiplicative Chaos (GMC) on Euclidean balls in R^d. I will discuss the problem of small deviations of GMC and their lognormal asymptotic bounds. I will also present some ideas how to use GMC in the problem of maximal packing. Based on two separte works: one with Anna Talarczyk-Noble and second with Jacek Jakubowski.