On the nodal structures of random fields: a decade of results (Q6650247)
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scientific article; zbMATH DE number 7955467
| Language | Label | Description | Also known as |
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| English | On the nodal structures of random fields: a decade of results |
scientific article; zbMATH DE number 7955467 |
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On the nodal structures of random fields: a decade of results (English)
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6 December 2024
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The author performs a survey of work pertaining to the nodal structures of random fields, with emphasis on the transformative or principal results that shaped the field, and outlines the main techniques of proofs.\newline The survey is related to an earlier survey published by the author in [Proc. Symp. Pure Math. 84, 285--297 (2012; Zbl 1317.60013)] of results pertaining to the distribution of local functionals of some Gaussian ensembles of random fields, a subject which at that time was only in its early stage.
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Kac-Rice formula
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nodal sets
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Laplace eigenfunctions
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band-limited functions
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Gaussian random fields
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