Low discrepancy sequences generated by piecewise linear Maps

Monte Carlo Methods and Applications

Volumn 4, Issue 2, 1998, Pages 141-162

  Mori, Makoto ^a  

^a NIHON UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004522228     PISSN: 09299629     EISSN: 15693961     Source Type: Journal    
DOI: 10.1515/mcma.1998.4.2.141     Document Type: Article

References (5)

1. Lasota, A. and Yorke, J.A., On the existence of invariant measures for piecewise monotonic transformations. Trans. Amer. Math. Soc. 186 (1973), 481-488.
2. Mori, M, Fredholm determinant for piecewise linear transformations. Osaka J. Math. 27 (1990), 81-116.
3. Ninomiya, S., Constructing a new class of low-discrepancy sequences by using the β-adic transformation, Mathematics and Computers in Simulation, to appear.
4. Ninomiya, S., On the discrepancy of the/J-adic van der Corput sequence, preprint.
5. Tamura, J., A class of transcendental numbers having explicit 0-adic and Jacobi-Perron expansions of arbitrary dimension, Acta Arithmetica, LXXI.4 (1995), 301-329.