The Projection Pressure for Asymptotically Weak Separation Condition and Bowen′s Equation | Zendy

Chenwei Wang | Zendy; Ercai Chen | Zendy

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The Projection Pressure for Asymptotically Weak Separation Condition and Bowen′s Equation

Author(s) -

Chenwei Wang,

Ercai Chen

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/807405

Subject(s) - mathematics , projection (relational algebra) , attractor , iterated function system , conformal map , hausdorff space , iterated function , hausdorff dimension , mathematical analysis , dimension (graph theory) , pure mathematics , zero (linguistics) , function (biology) , algorithm , linguistics , philosophy , evolutionary biology , biology

Let {Si}i=1l 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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