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  • 标题:The Projection Pressure for Asymptotically Weak Separation Condition and Bowen's Equation
  • 本地全文:下载
  • 作者:Chenwei Wang ; Ercai Chen
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2012
  • 卷号:2012
  • DOI:10.1155/2012/807405
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Let {𝑆𝑖}𝑙𝑖=1 be a weakly conformal iterated function system on ℝ𝑑 with attractor 𝐾. Let 𝜋 be the canonical projection. In this paper we define a new concept called “projection pressure” 𝑃𝜋(𝜑) for 𝜑∈𝐶(Σ) and show the variational principle about the projection pressure under AWSC. Furthermore, we check that the zero of “projection pressure” still satisfies Bowen's equation. Using the root of Bowen's equation, we can get the Hausdorff dimension of the attractor 𝐾.
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