The vortex filament equation as a pseudorandom generator
Abstract
In this paper, we consider the evolution of the so-called vortex filament equation (VFE), equation* Xt = Xs Xss, equation* taking a planar regular polygon of M sides as initial datum. We study VFE from a completely novel point of view: that of an evolution equation which yields a very good generator of pseudorandom numbers in a completely natural way. This essential randomness of VFE is in agreement with the randomness of the physical phenomena upon which it is based.
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