Geodesic
Generation of random numbers and parallel random number streams for Monte Carlo simulations
Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 2, pp. 145-161

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Modern methods and libraries for high quality pseudorandom number generation and for generation of parallel random number streams for Monte Carlo simulations are considered. The probability equidistribution property and the parameters when the property holds at dimensions up to logarithm of mesh size are considered for Multiple Recursive Generators.
Keywords: random number generators, parallel computing, nonlinear dynamical systems. 
@article{MAIS_2012_19_2_a10,
     author = {L. Yu. Barash and L. N. Shchur},
     title = {Generation of random numbers and parallel random number streams for {Monte} {Carlo} simulations},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {145--161},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2012_19_2_a10/}
}
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L. Yu. Barash; L. N. Shchur. Generation of random numbers and parallel random number streams for Monte Carlo simulations. Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 2, pp. 145-161. http://geodesic.mathdoc.fr/item/MAIS_2012_19_2_a10/