Geodesic
From chaos to randomness via geometric undersampling
Rene Lozi1 ; Ina Taralova2
1Université de Nice Sophia-Antipolis, Laboratoire J. A. Dieudonné, UMR CNRS 7351, Parc Valrose, 06108 NICE, Cedex 02, France,
2L’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, 
Rene Lozi; Ina Taralova. From chaos to randomness via geometric undersampling. ESAIM. Proceedings, Tome 46 (2014), pp. 177-195. doi: 10.1051/proc/201446015
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     author = {Rene Lozi and Ina Taralova},
     title = {From chaos to randomness via geometric undersampling},
     journal = {ESAIM. Proceedings},
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     year = {2014},
     volume = {46},
     doi = {10.1051/proc/201446015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201446015/}
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