43 citations · 130 across the 29 of their papers we have counts for
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Percolation of strongly correlated Gaussian fields II. Sharpness of the phase transition
Stephen Muirhead
We establish the sharpness of the phase transition for a wide class of Gaussian percolation models, on or , , with correlations decaying at le…
Percolation of strongly correlated Gaussian fields I. Decay of subcritical connection probabilities
Stephen Muirhead, Franco Severo
We study the decay of connectivity of the subcritical excursion sets of a class of strongly correlated Gaussian fields. Our main result shows that, for smooth isotropic Gaussian fi…
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…
Sharp phase transition for Cox percolation
Christian Hirsch, Benedikt Jahnel, Stephen Muirhead
We prove the sharpness of the percolation phase transition for a class of Cox percolation models, i.e., models of continuum percolation in a random environment. The key requirement…