On random numbers generated by Dynamical systems

Makoto Mori[1]

  • [1] Dept. Math., College of Humanities and Sciences, Nihon University

Actes des rencontres du CIRM (2009)

  • Volume: 1, Issue: 1, page 49-53
  • ISSN: 2105-0597

How to cite

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Mori, Makoto. "On random numbers generated by Dynamical systems." Actes des rencontres du CIRM 1.1 (2009): 49-53. <http://eudml.org/doc/10017>.

@article{Mori2009,
affiliation = {Dept. Math., College of Humanities and Sciences, Nihon University},
author = {Mori, Makoto},
journal = {Actes des rencontres du CIRM},
language = {eng},
month = {3},
number = {1},
pages = {49-53},
publisher = {CIRM},
title = {On random numbers generated by Dynamical systems},
url = {http://eudml.org/doc/10017},
volume = {1},
year = {2009},
}

TY - JOUR
AU - Mori, Makoto
TI - On random numbers generated by Dynamical systems
JO - Actes des rencontres du CIRM
DA - 2009/3//
PB - CIRM
VL - 1
IS - 1
SP - 49
EP - 53
LA - eng
UR - http://eudml.org/doc/10017
ER -

References

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  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. Zbl1065.11056MR2096253
  2. M. Mori, Fredholm determinant for piecewise linear transformations, Osaka J. Math. 27(1990) 81-116. Zbl0704.28010MR1049827
  3. M. Mori, Fredholm determinant for piecewise monotonic transformations, Osaka J. Math. 29(1992) 497-529. Zbl0791.58076MR1181118
  4. M. Mori, Low discrepancy sequences generated by piecewise linear Maps, Monte Carlo methods and Applications 4 No. 2(1998) 141-162. Zbl0917.11034MR1637372
  5. M. Mori, Discrepancy of sequences generated by piecewise monotone Maps, Monte Carlo methods and Applications 5 No. 1(1999) 55-68. Zbl0927.11044MR1684993
  6. M. Mori, Fredholm determinant for higher dimensional piecewise linear transformations, Japanese J. Math. 25 No.2(1999) 317–342. Zbl0951.37001MR1735464
  7. M. Mori, Construction of two dimensional low discrepancy sequences, Monte Carlo methods and Applications 8 No.2(2002) 159-170. Zbl1038.11045MR1916915
  8. M. Mori, Construction of 3 dimensional low discrepancy sequences, Monte Carlo methods and Applications 11 No.2(2005) 163-174. Zbl1038.11045MR2152633
  9. S. Ninomiya, Constructing a new class of low-discrepancy sequences by using the β -adic transformation, Math. Comput. Simul. 47(1998) 405-420. MR1641375
  10. S. Ninomiya, On the discrepancy of the β -adic van der Corput sequence, J. Math. Sci. Univ. Tokyo 5 (1998) 345-366. Zbl0971.11043MR1633866

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