article published yes Florian Pausinger author 2A77D7A2-F248-11E8-B48F-1D18A9856A870000-0002-8379-3768 HeEd department This extended abstract is concerned with the irregularities of distribution of one-dimensional permuted van der Corput sequences that are generated from linear permutations. We show how to obtain upper bounds for the discrepancy and diaphony of these sequences, by relating them to Kronecker sequences and applying earlier results of Faure and Niederreiter. Elsevier2013 eng 10.1016/j.endm.2013.07.008 4343 - 50 Pausinger F. 2013. Van der Corput sequences and linear permutations. Electronic Notes in Discrete Mathematics. 43, 43–50. Pausinger, F. (2013). Van der Corput sequences and linear permutations. <i>Electronic Notes in Discrete Mathematics</i>. Elsevier. <a href="https://doi.org/10.1016/j.endm.2013.07.008">https://doi.org/10.1016/j.endm.2013.07.008</a> F. Pausinger, “Van der Corput sequences and linear permutations,” <i>Electronic Notes in Discrete Mathematics</i>, vol. 43. Elsevier, pp. 43–50, 2013. Pausinger, Florian. “Van Der Corput Sequences and Linear Permutations.” <i>Electronic Notes in Discrete Mathematics</i>, vol. 43, Elsevier, 2013, pp. 43–50, doi:<a href="https://doi.org/10.1016/j.endm.2013.07.008">10.1016/j.endm.2013.07.008</a>. Pausinger, Florian. “Van Der Corput Sequences and Linear Permutations.” <i>Electronic Notes in Discrete Mathematics</i>. Elsevier, 2013. <a href="https://doi.org/10.1016/j.endm.2013.07.008">https://doi.org/10.1016/j.endm.2013.07.008</a>. Pausinger F. Van der Corput sequences and linear permutations. <i>Electronic Notes in Discrete Mathematics</i>. 2013;43:43-50. doi:<a href="https://doi.org/10.1016/j.endm.2013.07.008">10.1016/j.endm.2013.07.008</a> F. Pausinger, Electronic Notes in Discrete Mathematics 43 (2013) 43–50. 23042018-12-11T11:56:53Z2024-10-09T20:55:15Z