Geodesic
From chaos to randomness via geometric undersampling
Rene Lozi1 ; Ina Taralova2
1 Université de Nice Sophia-Antipolis, Laboratoire J. A. Dieudonné, UMR CNRS 7351, Parc Valrose, 06108 NICE, Cedex 02, France,
2 L’UNAM, IRCCyN, UMR CNRS 6597, Ecole Centrale de Nantes, 1, rue de la No, BP 92101, 44321, NANTES Cedex 3, France,
ESAIM. Proceedings, Tome 46 (2014), pp. 177-195.

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We propose a new mechanism for undersampling chaotic numbers obtained by the ring coupling of one-dimensional maps. In the case of 2 coupled maps this mechanism allows the building of a PRNG which passes all NIST Test. This new geometric undersampling is very effective for generating 2 parallel streams of pseudo-random numbers, as we show, computing carefully their properties, up to sequences of 1012 consecutives iterates of the ring coupled mapping which provides more than 3.35 × 1010 random numbers in very short time.
DOI : 10.1051/proc/201446015

Rene Lozi 1 ; Ina Taralova 2

1 Université de Nice Sophia-Antipolis, Laboratoire J. A. Dieudonné, UMR CNRS 7351, Parc Valrose, 06108 NICE, Cedex 02, France,
2 L’UNAM, IRCCyN, UMR CNRS 6597, Ecole Centrale de Nantes, 1, rue de la No, BP 92101, 44321, NANTES Cedex 3, France, 
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     title = {From chaos to randomness via geometric undersampling},
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     doi = {10.1051/proc/201446015},
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Rene Lozi; Ina Taralova. From chaos to randomness via geometric undersampling. ESAIM. Proceedings, Tome 46 (2014), pp. 177-195. doi : 10.1051/proc/201446015. http://geodesic.mathdoc.fr/articles/10.1051/proc/201446015/

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