On the nodal structures of random fields -- a decade of results

Igor Wigman

On the nodal structures of random fields -- a decade of results

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arxiv 2206.10020 v3 pith:UI6BOF77 submitted 2022-06-20 math.PR math-phmath.APmath.MPmath.NT

Igor Wigman This is my paper · ORCID

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keywords decadefieldsnodalrandomstructuresemphasisfieldpertaining

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We survey a decade worth of work pertaining to the nodal structures of random fields, with emphasis on the transformative techniques that shaped the field.

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Level area of spin random fields: a chaos decomposition
math.PR 2025-07 reject novelty 5.0 of 10

The paper claims explicit chaos formulas for the level area of spin-s Gaussian fields on SO(3), but internal consistency checks indicate a factor-2 normalization error and the headline high-frequency variance claim is...

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