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1 Institut für Analysis und Computational Number Theory 2 Department of Mathematics of the University of Salzburg 3 LATP - Laboratoire d-Analyse, Topologie, Probabilités

Abstract : In this overview we show by examples, how to associate certain sequences in the higher-dimensional unit cube to suitable dynamical systems. We present methods and notions from ergodic theory that serve as tools for the study of low-discrepancy sequences and discuss an important technique, cutting- and-stacking of intervals.

Keywords : low-discrepancy sequences b-adic integers irregularity of distribution discrepancy dynamical systems





Author: Peter Grabner - Peter Hellekalek - Pierre Liardet -

Source: https://hal.archives-ouvertes.fr/



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