Berry's random waves and stationary Poisson line processes share large-domain fluctuation limits in the fractional Gaussian field class with Hurst index H=(1-d)/2 for observables correlated with their second Wiener chaos projection.
Zeros and critical points of Gaussian fields: Cumulants asymptotics and limit theorems.Preprint ArXiv: 2501.10226, 2025
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Scars in random waves and the FGF 1/2 universality class
Berry's random waves and stationary Poisson line processes share large-domain fluctuation limits in the fractional Gaussian field class with Hurst index H=(1-d)/2 for observables correlated with their second Wiener chaos projection.