172 citations · 1.2k across the 63 of their papers we have counts for
64 papers
Quantifying the lucky droplet model for rainfall
Michael Wilkinson
It is difficult to explain rainfall from ice-free clouds, because the timescale for the onset of rain showers is shorter than the mean time for collisions between microscopic water…
Universal Chern number statistics in random matrix fields
Or Swartzberg, Michael Wilkinson, Omri Gat
We investigate the probability distribution of Chern numbers (quantum Hall effect integers) for a parametric version of the GUE random matrix ensemble, which is a model for a chaot…
Lacunarity Transition
Bartomeu Cucurull, Marc Pradas, Michael Wilkinson
Experiments investigating particles floating on a randomly stirred fluid show regions of very low density, which are not well understood. We introduce a simplified model for unders…
Mean square winding angle of Brownian motion around an impenetrable cylinder
J. H. Hannay, Michael Wilkinson
An exact formula is derived, as an integral, for the mean square winding angle of Brownian motion (that is, diffusion) after time t, around an infinitely long impenetrable cylinder…
Correlations of quantum curvature and variance of Chern numbers
Omri Gat, Michael Wilkinson
We analyse the correlation function of the quantum curvature in complex quantum systems, using a random matrix model to provide an exemplar of a universal correlation function. We…
Flooding dynamics of diffusive dispersion in a random potential
Michael Wilkinson, Marc Pradas, Gerhard Kling
We discuss the combined effects of overdamped motion in a quenched random potential and diffusion, in one dimension, in the limit where the diffusion coefficient is small. Our anal…