On Polynomially Normal Lattice Configurations |
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Authors: | Mordechay B Levin Meir Smorodinsky |
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Institution: | (1) Bar-Ilan University, Ramat-Gan, Israel;(2) Tel Aviv University, Israel |
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Abstract: | In this paper we extend Champernowne’s construction of a normal sequence in base b to the
case and obtain an explicit construction of the generic point of the
shift transformation of the set
. 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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Keywords: | 2000 Mathematics Subject Classification: 11K16 28D15 |
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