Corpus ID: 220055909

Reconstructing the base field from imaginary multiplicative chaos

@inproceedings{Aru2020ReconstructingTB,
  title={Reconstructing the base field from imaginary multiplicative chaos},
  author={Juhan Aru and Janne Junnila},
  year={2020}
}
  • Juhan Aru, Janne Junnila
  • Published 2020
  • Mathematics, Physics
  • We show that the imaginary multiplicative chaos exp(iβΓ) determines the gradient of the underlying field Γ for all log-correlated Gaussian fields with covariance of the form − log |x − y| + g(x, y) with mild regularity conditions on g, for all d ≥ 2 and for all β ∈ (0, √ d). In particular, we show that the 2D continuum zero boundary Gaussian free field is measurable w.r.t. its imaginary chaos. 
    Density of imaginary multiplicative chaos via Malliavin calculus

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