Non-Archimedean Ergodic Theory and Pseudorandom Generators

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...

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Vydáno v:arXiv.org
Hlavní autor: Anashin, Vladimir
Médium: Paper
Jazyk:angličtina
Vydáno: Ithaca Cornell University Library, arXiv.org 07.10.2007
Témata:
Continuity (mathematics)
Ergodic processes
Generators
Integers
Microprocessors
Pseudorandom
Sequences
Software
ISSN:2331-8422
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Abstract 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.
AbstractList 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.
Author Anashin, Vladimir
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Snippet The paper develops techniques in order to construct computer programs, pseudorandom number generators (PRNG), that produce uniformly distributed sequences. The...
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SubjectTerms Continuity (mathematics)
Ergodic processes
Generators
Integers
Microprocessors
Pseudorandom
Sequences
Software
Title Non-Archimedean Ergodic Theory and Pseudorandom Generators
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