19 citations · 109 across the 25 of their papers we have counts for
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math.PR2022★ 1 cited
Gaussian fields and percolation
Dmitry Beliaev
In the last two decades there was a lot of progress in understanding the geometry of smooth Gaussian fields. This survey aims to cover one particular line of research: the large sc…
math.PR2022★ 5 cited
A central limit theorem for the number of excursion set components of Gaussian fields
Dmitry Beliaev, Michael McAuley, Stephen Muirhead
For a smooth stationary Gaussian field on and level , we consider the number of connected components of the excursion set (or l…