Abstract
In this paper the dyadic diaphony F (2)N of the Sobol’ sequences is studied. For a d-dimensional LPτ sequence the estimate
is proven. For the particular case of the classic Van der Corput sequence the equality
is established, which allows exact asymptotic behavior of the dyadic diaphony of σ to be established.
Supported by Ministry of Education and Science of Bulgaria under Grant # MM 902/99 and by Center of Excellence BIS-21 grant ICA1-2000-70016
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References
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Atanassov, E.I. (2001). On the Dyadic Diaphony of the Sobol‘ Sequences. In: Margenov, S., Waśniewski, J., Yalamov, P. (eds) Large-Scale Scientific Computing. LSSC 2001. Lecture Notes in Computer Science, vol 2179. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45346-6_12
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DOI: https://doi.org/10.1007/3-540-45346-6_12
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