Displaying similar documents to “Pisot sequences which satisfy no linear recurrence II”

On linear normal lattices configurations

Mordechay B. Levin, Meir Smorodinsky (2005)

Journal de Théorie des Nombres de Bordeaux

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In this paper we extend Champernowne’s construction of normal numbers in base b to the d case and obtain an explicit construction of the generic point of the d shift transformation of the set { 0 , 1 , . . . , b - 1 } d . We prove that the intersection of the considered lattice configuration with an arbitrary line is a normal sequence in base b .