On random numbers generated by Dynamical systems

DOI10.5802/ACIRM.9zbMath1477.11136OpenAlexW2314182742MaRDI QIDQ4682408

Makoto Mori

Publication date: 18 September 2018

Published in: Actes des rencontres du CIRM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/acirm.9

zbMATH Keywords

van der Corput sequence

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Symbolic dynamics (37B10) Irregularities of distribution, discrepancy (11K38) Pseudo-random numbers; Monte Carlo methods (11K45)

Cites Work

• Fredholm determinant for piecewise linear transformations
• Fredholm determinant for piecewise monotonic transformations
• Construction of two dimensional low discrepancy sequences
• Low discrepancy sequences generated by piecewise linear Maps
• Discrepancy of sequences generated by piecewise monotone maps
• Discrepancy of van der Corput sequences generated by piecewise linear transformations
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