A covariance formula for topological events of smooth Gaussian fields

We derive a covariance formula for the class of ‘topological events’ of smooth Gaussian fields on manifolds; these are events that depend only on the topology of the level sets of the field, for example, (i) crossing events for level or excursion sets, (ii) events measurable with respect to the numb...

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Bibliographic Details
Main Authors: Beliaev, D, Muirhead, S, Rivera, A
Format: Journal article
Language:English
Published: Institute of Mathematical Statistics 2020