43 citations · 130 across the 29 of their papers we have counts for
4 papers · 1 filter
Asymptotics for the critical level and a strong invariance principle for high intensity shot noise fields
Raphael Lachieze-Rey, Stephen Muirhead
We study fine properties of the convergence of a high intensity shot noise field towards the Gaussian field with the same covariance structure. In particular we (i) establish a str…
Boundedness of the nodal domains of additive Gaussian fields
Stephen Muirhead
We study the connectivity of the excursion sets of additive Gaussian fields, i.e.\ stationary centred Gaussian fields whose covariance function decomposes into a sum of terms that…
Mean-field bounds for Poisson-Boolean percolation
Vivek Dewan, Stephen Muirhead
We establish the mean-field bounds , and on the critical exponents of the Poisson-Boolean continuum percolation model under a moment condition on…
Upper bounds on the one-arm exponent for dependent percolation models
Vivek Dewan, Stephen Muirhead
We prove upper bounds on the one-arm exponent for a class of dependent percolation models which generalise Bernoulli percolation; while our main interest is level set percola…