Multifractal aspects of an efficient change-making process

Ken Yamamoto, Yoshihiro Yamazaki

研究成果: Article査読

1 被引用数 (Scopus)

抄録

In this paper, we focus on the «minimal payment» which minimizes the number of coins left after the payment. Two kinds of multifractal properties of the minimal payment are studied. The first one is a frequency distribution of change amounts, and the second one is a visiting probability on the delay plot of successive change amounts. When the face values of coins are power of two (1, 2, 4, 8, ...), we find that these two distributions are related to well-known multifractal models, and derive analytical expressions of multifractal spectra.

本文言語English
論文番号1350014
ジャーナルFractals
21
2
DOI
出版ステータスPublished - 2013 6

ASJC Scopus subject areas

  • モデリングとシミュレーション
  • 幾何学とトポロジー
  • 応用数学

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