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Density of imaginary multiplicative chaos via Malliavin calculus

We consider the imaginary Gaussian multiplicative chaos, i.e. the complex Wick exponential [Formula: see text] for a log-correlated Gaussian field [Formula: see text] in [Formula: see text] dimensions. We prove a basic density result, showing that for any nonzero continuous test function f, the comp...

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Detalles Bibliográficos
Autores principales: Aru, Juhan, Jego, Antoine, Junnila, Janne
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9652292/
https://www.ncbi.nlm.nih.gov/pubmed/36397859
http://dx.doi.org/10.1007/s00440-022-01135-y