caa a22 4500 606165975 CHVBK 20210128100656.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10440-014-9960-6 doi (NATIONALLICENCE)springer-10.1007/s10440-014-9960-6 The Vortex Filament Equation as a Pseudorandom Generator [Elektronische Daten] [Francisco delaHoz, Luis Vega] In this paper, we consider the evolution of the so-called vortex filament equation (VFE), $$\mathbf{X}_t = \mathbf{X}_s\wedge\mathbf{X}_{ss}, $$ 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. Springer Science+Business Media Dordrecht, 2014 Vortex filament equation nationallicence Schrödinger map on the sphere nationallicence Generalized quadratic Gaußsums nationallicence Explicit inversive congruential generators nationallicence delaHoz Francisco Department of Applied Mathematics, Statistics and Operations Research, Faculty of Science and Technology, University of the Basque Country UPV-EHU, Barrio Sarriena S/N, 48940, Leioa, Spain aut Vega Luis Department of Mathematics, Faculty of Science and Technology, University of the Basque Country UPV-EHU, Barrio Sarriena S/N, 48940, Leioa, Spain aut Acta Applicandae Mathematicae Springer Netherlands 138/1(2015-08-01), 135-151 0167-8019 138:1<135 2015 138 10440 https://doi.org/10.1007/s10440-014-9960-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-014-9960-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- delaHoz Francisco Department of Applied Mathematics, Statistics and Operations Research, Faculty of Science and Technology, University of the Basque Country UPV-EHU, Barrio Sarriena S/N, 48940, Leioa, Spain aut NATIONALLICENCE 700 1- Vega Luis Department of Mathematics, Faculty of Science and Technology, University of the Basque Country UPV-EHU, Barrio Sarriena S/N, 48940, Leioa, Spain aut NATIONALLICENCE 773 0- Acta Applicandae Mathematicae Springer Netherlands 138/1(2015-08-01), 135-151 0167-8019 138:1<135 2015 138 10440