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Uniform distribution on fractals

Keywords: Discrepancy , fractals , uniform distribution

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Abstract:

In this paper we introduce a general algorithm to produce u.d. sequencesof 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.

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