Invariant density functions of random β-transformations

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We consider the random -transformation introduced by Dajani and Kraaikamp [Random -expansions. Ergod. Th. & Dynam. Sys. 23 (2003), 461-479], which is defined on . We give an explicit formula for the density function of a unique -invariant probability measure absolutely continuous with respect to the product measure , where is the -Bernoulli measure on and is the normalized Lebesgue measure on . We apply the explicit formula for the density function to evaluate its upper and lower bounds and to investigate its continuity as a function of the two parameters and .

本文言語English
ページ(範囲)1099-1120
ページ数22
ジャーナルErgodic Theory and Dynamical Systems
39
4
DOI
出版ステータスPublished - 2019 4 1
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)
  • 応用数学

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