Regularities of the distribution of abstract van der Corput sequences

TIES OF THE DISTRIBUTION OF ABSTRACT VAN DER CORPUT SEQUENCES WOLFGANG STEINER Abstract. Similarly to -adic van der Corput sequences, abstract van der Corput secan be defined by abstract numeration systems. Under some assumptions, these sequences are low discrepancy sequences. The discrepancy function is computed explicitly, and the bounded remainder sets of the form [0, y) are characterized.

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Wolfgang Steiner
• Keywords: Abstract Van Der, CORR 2008, Der Corput Sequences, Education, Van Der Corput