On the number of excursion sets of planar Gaussian fields

The Nazarov–Sodin constant describes the average number of nodal set components of smooth Gaussian fields on large scales. We generalise this to a functional describing the corresponding number of level set components for arbitrary levels. Using results from Morse theory, we express this functional...

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Bibliographic Details
Main Authors: Beliaev, D, McAuley, M, Muirhead, S
Format: Journal article
Language:English
Published: Springer 2020