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Springer (part of Springer Nature), Acta Applicandae Mathematicae, 1(138), p. 135-151

DOI: 10.1007/s10440-014-9960-6

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The Vortex Filament Equation as a Pseudorandom Generator

Journal article published in 2013 by Francisco de la Hoz, Luis Vega ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

In this paper, we consider the evolution of the so-called vortex filament equation (VFE), \begin{equation*} \mathbf X_t = \mathbf X_s∧\mathbf X_{ss}, \end{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. ; Comment: 17 pages in Acta Applicandae Mathematicae, 2014