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• W2962903046 endingPage "6196" @default.
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• W2962903046 abstract "Abstract We study non-Gaussian log-correlated multiplicative chaos, where the random field is defined as a sum of independent fields that satisfy suitable moment and regularity conditions. The convergence, existence of moments, and analyticity with respect to the inverse temperature are proven for the resulting chaos in the full subcritical range. These results are generalizations of the corresponding theorems for Gaussian multiplicative chaos. A basic example where our results apply is the non-Gaussian Fourier series $$sum_{k=1}^infty frac{1}{sqrt{k}}(A_k cos(2pi k x) + B_k sin(2pi k x)),$$where $A_k$ and $B_k$ are i.i.d. random variables." @default.
• W2962903046 created "2019-07-30" @default.
• W2962903046 creator A5059448911 @default.
• W2962903046 date "2018-08-23" @default.
• W2962903046 modified "2023-09-25" @default.
• W2962903046 title "On the Multiplicative Chaos of Non-Gaussian Log-Correlated Fields" @default.
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• W2962903046 doi "https://doi.org/10.1093/imrn/rny196" @default.
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