Complex Systems

Sequences of Pseudorandom Numbers with Arbitrarily Large Periods Download PDF

P. S. Joag
Department of Physics, University of Poona,
Ganeshkhind, Pune-411007, India


We show that the restriction of the Bernoulli shift map to the set of rationals between 0 and 1 can generate sequences of uniformly distributed pseudorandom numbers whose periods exceed any given , however large. Here is an integer.