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math.GM2017
Probability distribution for the Gaussian curvature of the zero level surface of a random function
John Hannay
A rather natural construction for a smooth random surface in space is the level surface of value zero, or 'nodal' surface f(x,y,z)=0, of a (real) random function f; the interface b…
math-ph2017★ 5 cited
Vortex reconnection rate, and loop birth rate, for a random wavefield
J. H. Hannay
A time dependent, complex scalar wavefield in three dimensions contains curved zero lines, wave 'vortices', that move around. From time to time pairs of these lines contact each ot…