Applying dissipative dynamical systems to pseudorandom number generation: Equidistribution property and statistical independence of bits at distances up to logarithm of mesh size
Abstract
The behavior of a family of dissipative dynamical systems representing transformations a of a twodimensional torus is studied on a discrete lattice and compared with that of conservative hyperbolic automorphisms of the torus. Applying dissipative dynamical systems to generation of pseudorandom numbers is shown to be advantageous and equidistribution of probabilities for the sequences of bits can be achieved. A new algorithm for generating uniform pseudorandom numbers is proposed. The theory of the generator, which includes proofs of periodic properties and of statistical independence of bits at distances up to logarithm of mesh size, is presented. Extensive statistical testing using available test packages demonstrates excellent results, while the speed of the generator is comparable to other modern generators.
 Publication:

EPL (Europhysics Letters)
 Pub Date:
 July 2011
 DOI:
 10.1209/02955075/95/10003
 arXiv:
 arXiv:1008.4874
 Bibcode:
 2011EL.....9510003B
 Keywords:

 Physics  Computational Physics;
 Computer Science  Mathematical Software
 EPrint:
 6 pages, 3 figures, 3 tables