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math.PR2023★ 1 cited
A covariance formula for the number of excursion set components of Gaussian fields and applications
Dmitry Beliaev, Michael McAuley, Stephen Muirhead
We derive a covariance formula for the number of excursion or level set components of a smooth stationary Gaussian field on contained in compact domains. We also pre…
math.PR2023
A sprinkled decoupling inequality for Gaussian processes and applications
Stephen Muirhead
We establish a sprinkled decoupling inequality for increasing events of Gaussian vectors with an error that depends only on the maximum pairwise correlation. As an application we p…