Monochromatic Random Waves for General Riemannian Manifolds

Yaiza Canzani ()
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Yaiza Canzani: University of North Carolina, Chapel Hill, Department of Mathematics

A chapter in Frontiers in Analysis and Probability, 2020, pp 1-20 from Springer

Abstract: Abstract This is a survey article on some of the recent developments on monochromatic random waves defined for general Riemannian manifolds. We discuss the conditions needed for the waves to have a universal scaling limit, we review statistics for the size of their zero set and the number of their critical points, and we discuss the structure of their zero set as described by the diffeomorphism types and the nesting configurations of its components.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-56409-4_1

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DOI: 10.1007/978-3-030-56409-4_1

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