Periodic Reporting for period 2 - MIXMAX (Development and Implementation of new generation of Pseudo Random Number Generators based on Kolmogorov-Anosov K-systems)
Periodo di rendicontazione: 2017-01-01 al 2018-12-31
[1] K.Savvidy The MIXMAX random number generator, Comput.Phys.Commun. 196 (2015) 161-165.
(http://dx.doi.org/10.1016/j.cpc.2015.06.003); arXiv:1404.5355
[2] G. Savvidy, Anosov C-systems and random number generators, Theor.Math.Phys. 188 (2016) 1155-
1171; arXiv:1507.06348 [hep-th].
[3] K. Savvidy and G. Savvidy, Spectrum and Entropy of C-systems. MIXMAX random number generator,
Chaos Solitons Fractals 91 (2016) 33 ( doi:10.1016/j.chaos.2016.05.003); [arXiv:1510.06274
[math.DS]].
[4] A. Görlich, M. Kalomenopoulos, K. Savvidy and G. Savvidy, Distribution of periodic trajectories
of Anosov C-system, Int. J. Mod. Phys. C 28 (2017) 1750032 (doi: 10.1142/S0129183117500322)
[5] D. V. Anosov, Geodesic flows on closed Riemannian manifolds with negative curvature, Trudy Mat.
Inst. Steklov., Vol. 90 (1967) 3 - 210
[6] A.N. Kolmogorov, New metrical invariant of transitive dynamical systems and automorphisms of
Lebesgue spaces, Dokl. Acad. Nauk SSSR, 119 (1958) 861-865
[7] HEPFORGE.ORG http://mixmax.hepforge.org; http://www.inp.demokritos.gr/˜savvidy/mixmax.php
[8]http://www.inp.demokritos.gr/˜savvidy/mixmax.php
[9] P. L’Ecuyer and R. Simard, TestU01: A C Library for Empirical Testing of Random Number
Generators, ACM Transactions on Mathematical Software, 33 (2007) 1-40.
[10] First Consortium Meeting and Workshop at CERN, July 2015: https://indico.cern.ch/event/404547
[11] The Second Consortium Meeting and Workshop at CERN, July 2016:https://indico.cern.ch/event/544108/
[12]Conference and MTR Meeting in Athens, September 2016:https://indico.cern.ch/event/558996/