Piecewise expanding maps on the plane with singular ergodic properties

研究成果: ジャーナルへの寄稿記事

17 引用 (Scopus)

抄録

For 1 ≤ r < ∞, we construct a piecewise Cr expanding map F : D → D on the domain D = (0, 1) x (-1, 1) ⊂ ℝ2 with the following property: there exists an open set B in D such that the diameter of Fn (B) converges to 0 as n → ∞ and the empirical measure n-1 Σn-1 k=0 δ Fk(x) converges to the point measure δ p at p = (0, 0) as n → ∞ for any point x ∈ B.

元の言語英語
ページ(範囲)1851-1857
ページ数7
ジャーナルErgodic Theory and Dynamical Systems
20
発行部数6
DOI
出版物ステータス出版済み - 1 1 2000

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Expanding Maps
Converge
Empirical Measures
Open set

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

これを引用

Piecewise expanding maps on the plane with singular ergodic properties. / Masato, Tsujii.

:: Ergodic Theory and Dynamical Systems, 巻 20, 番号 6, 01.01.2000, p. 1851-1857.

研究成果: ジャーナルへの寄稿記事

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