Let X = {X(x): x ∊ 𝕊N} be a real-valued, centered Gaussian random field indexed on the N -dimensional unit sphere 𝕊N. Approximations to the excursion probability ℙ{supx∊𝕊N X(x) ≥ u}, as →∞, are ...

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Over the last half 50 years, fractals have challenged ideas about geometry and pushed math, science and technology into unexpected areas.

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