Article
Uniform Distribution on Fractals
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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.
Keywords
Keywords: Discrepancy, fractals, uniform distribution.
Citation
Infusino, M. & Volcic, A. (2009). Uniform distribution on fractals. Uniform Distribution Theory, 4(2), 47–58.
M. Infusino and A. Volcic, “Uniform distribution on fractals,” Uniform Distribution Theory, vol. 4, no. 2, pp. 47–58, 2009.
Infusino M, Volcic A. Uniform distribution on fractals. Uniform Distribution Theory. 2009;4(2):47–58.
Infusino, M. and Volcic, A. (2009), ‘Uniform distribution on fractals’, Uniform Distribution Theory, 4(2), pp. 47–58.
Infusino, Maria, and Aljosa Volcic. “Uniform Distribution on Fractals.” Uniform Distribution Theory, vol. 4, no. 2, 2009, pp. 47–58.
Infusino, Maria, and Aljosa Volcic. “Uniform Distribution on Fractals.” Uniform Distribution Theory 4, no. 2 (2009): 47–58.
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Published by: Engineering Journals
