Uniform distribution on fractals

Infusino, Maria
;
2009-01-01

Abstract

In this paper we introduce a general algorithm to produce u.d. sequences of partitions and of points on fractals generated by an IFS consisting of similarities which have the same ratio and which satisfy the open set condition (OSC). Moreover we provide an estimate for the elementary discrepancy of van der Corput type sequences constructed on this class of fractals.
2009
discrepancy; fractals; uniform distribution
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