74 citations · 91 across the 6 of their papers we have counts for
4 papers · 1 filter
Extrema statistics in the dynamics of a non-Gaussian random field
T. H. Beuman, A. M. Turner, V. Vitelli
When the equations that govern the dynamics of a random field are nonlinear, the field can develop with time non-Gaussian statistics even if its initial condition is Gaussian. Here…
Umbilical points of a non-Gaussian random field
A. M. Turner, T. H. Beuman, V. Vitelli
Random fields in nature often have, to a good approximation, Gaussian characteristics. For such fields, the relative densities of umbilical points -- topological defects which can…
Critical points of a non-Gaussian random field
T. H. Beuman, A. M. Turner, V. Vitelli
Random fields in nature often have, to a good approximation, Gaussian characteristics. We present the mathematical framework for a new and simple method for investigating the non-G…
Stochastic geometry and topology of non-Gaussian fields
T. H. Beuman, A. M. Turner, V. Vitelli
Gaussian random fields pervade all areas of science. However, it is often the departures from Gaussianity that carry the crucial signature of the nonlinear mechanisms at the heart…