About: Ito-Sadahiro numbers vs. Parry numbers     Goto   Sponge   NotDistinct   Permalink

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  • We consider a positional numeration system with a negative base, as introduced by Ito and Sadahiro. In particular, we focus on the algebraic properties of negative bases -β for which the corresponding dynamical system is sofic, which happens, according to Ito and Sadahiro, if and only if the (-β)-expansion of -β/(β + 1) is eventually periodic. We call such numbers β Ito-Sadahiro numbers, and we compare their properties with those of Parry numbers, which occur in the same context for the Rényi positive base numeration system.
  • We consider a positional numeration system with a negative base, as introduced by Ito and Sadahiro. In particular, we focus on the algebraic properties of negative bases -β for which the corresponding dynamical system is sofic, which happens, according to Ito and Sadahiro, if and only if the (-β)-expansion of -β/(β + 1) is eventually periodic. We call such numbers β Ito-Sadahiro numbers, and we compare their properties with those of Parry numbers, which occur in the same context for the Rényi positive base numeration system. (en)
Title
  • Ito-Sadahiro numbers vs. Parry numbers
  • Ito-Sadahiro numbers vs. Parry numbers (en)
skos:prefLabel
  • Ito-Sadahiro numbers vs. Parry numbers
  • Ito-Sadahiro numbers vs. Parry numbers (en)
skos:notation
  • RIV/68407700:21340/11:00181941!RIV12-MSM-21340___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/09/0584), Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 205986
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21340/11:00181941
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • numeration systems, negative base, Pisot number, Parry number (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [EBB705EAEE34]
http://linked.open...i/riv/nazevZdroje
  • Acta Polytechnica
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 51
http://linked.open...iv/tvurceVysledku
  • Masáková, Zuzana
  • Pelantová, Edita
http://linked.open...n/vavai/riv/zamer
issn
  • 1210-2709
number of pages
http://localhost/t...ganizacniJednotka
  • 21340
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