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The Vortex Filament Equation as a Pseudorandom Generator

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 24 Jul 2014Embargo end date: 01 Jan 2013 Spain Publisher:Springer Science and Business Media LLCJournal:Acta Applicandae Mathematicae, volume 138, pages 135-151 (issn: 0167-8019, eissn: 1572-9036,

Authors: De la Hoz, F.; Vega, L.;

doi: 10.1007/s10440-014-9960-6 , 10.48550/arxiv.1311.7274

arXiv: http://arxiv.org/abs/1311.7274

handle: 20.500.11824/53

The Vortex Filament Equation as a Pseudorandom Generator

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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\wedge\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.

17 pages in Acta Applicandae Mathematicae, 2014

Country

Spain

Related Organizations

Basque Center for Applied Mathematics
Spain
University of the Basque Country
Spain

Keywords

Mathematics - Number Theory, 11K45, 11Lxx, 35Q35, 35Q41, FOS: Mathematics, Number Theory (math.NT)

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