Discrepancy of van der Corput sequences generated by piecewise linear transformations

Verfasser / Beitragende:
[Yuko Ichikawa, Makoto Mori]
Ort, Verlag, Jahr:
2004
Enthalten in:
Monte Carlo Methods and Applications, 10/2(2004-06-01), 107-116
Format:
Artikel (online)
ID: 378943650
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245 0 0 |a Discrepancy of van der Corput sequences generated by piecewise linear transformations  |h [Elektronische Daten]  |c [Yuko Ichikawa, Makoto Mori] 
520 3 |a Discrepancy of van der Corput sequences constructed by piecewise linear transformations with same slope β > 1 is discussed. If there is no eigenvalues of the Perron-Frobenius operator associated with the dynamical system in |z| > 1/β except 1, the discrepancy equals (logN) k+1/N, where k is the number of the non-Markov endpoints. 
540 |a Copyright 2004, Walter de Gruyter 
700 1 |a Ichikawa  |D Yuko  |u 1. Dept. Math. College of Humanities and Sciences, Nihon University 3-25-40 Sakura Jyosui, Setagaya-ku, Tokyo, 156-8550  |4 aut 
700 1 |a Mori  |D Makoto  |u 2. Dept. Natural Sciences, Tokyo National College of Technology, 1220-2 Kunugida-machi, Hachioji-shi, Tokyo, 193-0097  |4 aut 
773 0 |t Monte Carlo Methods and Applications  |d Walter de Gruyter  |g 10/2(2004-06-01), 107-116  |x 0929-9629  |q 10:2<107  |1 2004  |2 10  |o mcma 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Mori  |D Makoto  |u 2. Dept. Natural Sciences, Tokyo National College of Technology, 1220-2 Kunugida-machi, Hachioji-shi, Tokyo, 193-0097  |4 aut 
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