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On random numbers generated by Dynamical systems
Makoto Mori1
1 Dept. Math., College of Humanities and Sciences, Nihon University
Actes des rencontres du CIRM, Volume 1 (2009) no. 1, pp. 49-53.
Published online:
DOI: 10.5802/acirm.9
Makoto Mori 1

1 Dept. Math., College of Humanities and Sciences, Nihon University 
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     title = {On random numbers generated by {Dynamical} systems},
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     doi = {10.5802/acirm.9},
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     url = {https://acirm.centre-mersenne.org/articles/10.5802/acirm.9/}
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Makoto Mori. On random numbers generated by Dynamical systems. Actes des rencontres du CIRM, Volume 1 (2009) no. 1, pp. 49-53. doi : 10.5802/acirm.9. https://acirm.centre-mersenne.org/articles/10.5802/acirm.9/

[1] Y. Ichikawa and M. Mori, Discrepancy of van der Corput sequences generated by piecewise linear transformations, Monte Carlo methods and Applications 10 No. 2(2004) 107-116. | DOI | MR | Zbl

[2] M. Mori, Fredholm determinant for piecewise linear transformations, Osaka J. Math. 27(1990) 81-116. | MR | Zbl

[3] M. Mori, Fredholm determinant for piecewise monotonic transformations, Osaka J. Math. 29(1992) 497-529. | MR | Zbl

[4] M. Mori, Low discrepancy sequences generated by piecewise linear Maps, Monte Carlo methods and Applications 4 No. 2(1998) 141-162. | DOI | MR | Zbl

[5] M. Mori, Discrepancy of sequences generated by piecewise monotone Maps, Monte Carlo methods and Applications 5 No. 1(1999) 55-68. | DOI | MR | Zbl

[6] M. Mori, Fredholm determinant for higher dimensional piecewise linear transformations, Japanese J. Math. 25 No.2(1999) 317–342. | DOI | MR | Zbl

[7] M. Mori, Construction of two dimensional low discrepancy sequences, Monte Carlo methods and Applications 8 No.2(2002) 159-170. | DOI | MR | Zbl

[8] M. Mori, Construction of 3 dimensional low discrepancy sequences, Monte Carlo methods and Applications 11 No.2(2005) 163-174. | DOI | MR | Zbl

[9] S. Ninomiya, Constructing a new class of low-discrepancy sequences by using the β-adic transformation, Math. Comput. Simul. 47(1998) 405-420. | DOI | MR

[10] S. Ninomiya, On the discrepancy of the β-adic van der Corput sequence, J. Math. Sci. Univ. Tokyo 5 (1998) 345-366. | Zbl

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