In critical dimension d=N/H, for Gaussian fields with σ(r)=r^H (log(1/r))^γ, points are polar iff γ≤1/d (equivalently, the integral ∫ r^{N-1}/σ^d(r) dr diverges).
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Polarity of points for Gaussian random fields in critical dimension
In critical dimension d=N/H, for Gaussian fields with σ(r)=r^H (log(1/r))^γ, points are polar iff γ≤1/d (equivalently, the integral ∫ r^{N-1}/σ^d(r) dr diverges).