文章基本信息

标题：The Projection Pressure for Asymptotically Weak Separation Condition and Bowen's Equation
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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.