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- W172144954 abstract "Let 2 [0; 1), r 2 Rd and de¯ne the mapping ?r; : Zd ! Zd by?r; (z) = (z1; : : : ; zdi1; ibrz + c) (z = (z0; : : : ; zdi1)) :If for each z 2 Zd there is a k 2 N such that the k-th iterate of ?r; satis¯es ? kr;(z) = 0we call ?r; an -shift radix system. In the present paper we unify classical shift radixsystems ( = 0) and symmetric shift radix systems ( = 12 ), which have alreadybeen studied in several papers and analyse the relation of -shift radix systems to¯-expansions and canonical number systems with shifted digit sets. At the end wewill state several characterisation results for the two dimensional case." @default.
- W172144954 created "2016-06-24" @default.
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- W172144954 date "2009-01-01" @default.
- W172144954 modified "2023-09-24" @default.
- W172144954 title "E-shift radix systems and radix representations with shifted digit sets" @default.
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