Non-Archimedean Ergodic Theory and Pseudorandom Generators

Details Non-Archimedean Ergodic Theory and Pseudorandom Generators Non-Archimedean Ergodic Theory and Pseudorandom Generators

2007-10-07

arxiv.org/abs/0710.1418v1

The Computer Journal, 53(4):370--392, 2010

Mathematics

Dynamical Systems

Submitted to The Computer Journal

Scientific paper

10.1093/comjnl/bxm101

The paper develops techniques in order to construct computer programs, pseudorandom number generators (PRNG), that produce uniformly distributed sequences. The paper exploits an approach that treats standard processor instructions (arithmetic and bitwise logical ones) as continuous functions on the space of 2-adic integers. Within this approach, a PRNG is considered as a dynamical system and is studied by means of the non-Archimedean ergodic theory.

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