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- W4297789057 abstract "In the present paper, we show that (under some minor technical assumption) Complex Gaussian Multiplicative Chaos defined as the complex exponential of a $log$-correlated Gaussian field can be obtained by taking the limit of the exponential of the field convoluted with a smoothing Kernel. We consider two types of chaos: $e^{gamma X}$ for a log correlated field $X$ and $gamma=alpha+ibeta$, $alpha, betain mathbb R$ and $e^{alpha X+ibeta Y}$ for $X$ and $Y$ two independent fields with $alpha, betain mathbb R$. Our result is valid in the range $$ mathcal O_{mathrm{sub}}:={ alpha^2+beta^2<d } cup { |alpha|in (sqrt{d/2},sqrt{2d} ) text{ and } |beta|< sqrt{2d}-|alpha| },$$ which, up to boundary, is conjectured to be optimal." @default.
- W4297789057 created "2022-10-01" @default.
- W4297789057 creator A5028955238 @default.
- W4297789057 date "2020-03-31" @default.
- W4297789057 modified "2023-09-30" @default.
- W4297789057 title "A universality result for subcritical Complex Gaussian Multiplicative Chaos" @default.
- W4297789057 doi "https://doi.org/10.48550/arxiv.2003.14024" @default.
- W4297789057 hasPublicationYear "2020" @default.
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