Flurries of Ducei waves

Cristian Cobeli, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce the class of trees with integer nodes generated by the Ducci process applied on the digit representation of the nodes in some number system. There are two possible options: one is to let the size of the torus go down freely during the process and the other is to keep it fixed. We give revealing examples and discuss general characteristics in the two cases.

Original languageEnglish (US)
Pages (from-to)177-188
Number of pages12
JournalBulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie
Volume66
Issue number2
StatePublished - 2023

Keywords

  • Ducci games
  • cycle
  • discrete dynamics
  • period
  • precycle

ASJC Scopus subject areas

  • General Mathematics

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