Exact universal log-asymptotics for persistence probabilities and entropic repulsion profiles of d-dimensional stationary Gaussian fields with spectral singularity of order alpha at the origin, given explicitly via capacity and equilibrium potential of the alpha-Riesz kernel.
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Persistence and entropic repulsion of stationary Gaussian fields with spectral singularity at the origin
Exact universal log-asymptotics for persistence probabilities and entropic repulsion profiles of d-dimensional stationary Gaussian fields with spectral singularity of order alpha at the origin, given explicitly via capacity and equilibrium potential of the alpha-Riesz kernel.