43 citations · 130 across the 29 of their papers we have counts for
3 papers · 1 filter
Russo-Seymour-Welsh estimates for the Kostlan ensemble of random polynomials
Dmitry Beliaev, Stephen Muirhead, Igor Wigman
We study the percolation properties of the nodal structures of random fields. Lower bounds on crossing probabilities (RSW-type estimates) of quads by nodal domains or nodal sets of…
The Bouchaud-Anderson model with double-exponential potential
Stephen Muirhead, Richard Pymar, Renato Soares dos Santos
The Bouchaud-Anderson model (BAM) is a generalisation of the parabolic Anderson model (PAM) in which the driving simple random walk is replaced by a random walk in an inhomogeneous…
Discretisation schemes for level sets of planar Gaussian fields
Dmitry Beliaev, Stephen Muirhead
Smooth random Gaussian functions play an important role in mathematical physics, a main example being the random plane wave model conjectured by Berry to give a universal descripti…