Abstract.
In this paper we extend Champernowne’s construction of a normal sequence in base b to the \({\Bbb N}^2\) case and obtain an explicit construction of the generic point of the \({\Bbb N}^2\) shift transformation of the set \(\{0,1,\ldots,b-1\}^{{\Bbb N}^2}\). We prove that the intersection of the constructed configuration with an arbitrary polynomial curve in the plane is a normal sequence in base b.
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Levin, M., Smorodinsky, M. On Polynomially Normal Lattice Configurations. Mh Math 147, 137–153 (2006). https://doi.org/10.1007/s00605-005-0340-1
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DOI: https://doi.org/10.1007/s00605-005-0340-1