caa a22 4500 378943650 CHVBK 20180305123658.0 cr unu---uuuuu 161128e20040601xx s 000 0 eng 10.1515/156939604777303217 doi (NATIONALLICENCE)gruyter-10.1515/156939604777303217 Discrepancy of van der Corput sequences generated by piecewise linear transformations [Elektronische Daten] [Yuko Ichikawa, Makoto Mori] 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. Copyright 2004, Walter de Gruyter Ichikawa Yuko 1. Dept. Math. College of Humanities and Sciences, Nihon University 3-25-40 Sakura Jyosui, Setagaya-ku, Tokyo, 156-8550 aut Mori Makoto 2. Dept. Natural Sciences, Tokyo National College of Technology, 1220-2 Kunugida-machi, Hachioji-shi, Tokyo, 193-0097 aut Monte Carlo Methods and Applications Walter de Gruyter 10/2(2004-06-01), 107-116 0929-9629 10:2<107 2004 10 mcma https://doi.org/10.1515/156939604777303217 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/156939604777303217 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ichikawa Yuko 1. Dept. Math. College of Humanities and Sciences, Nihon University 3-25-40 Sakura Jyosui, Setagaya-ku, Tokyo, 156-8550 aut NATIONALLICENCE 700 1- Mori Makoto 2. Dept. Natural Sciences, Tokyo National College of Technology, 1220-2 Kunugida-machi, Hachioji-shi, Tokyo, 193-0097 aut NATIONALLICENCE 773 0- Monte Carlo Methods and Applications Walter de Gruyter 10/2(2004-06-01), 107-116 0929-9629 10:2<107 2004 10 mcma CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter