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

Chenwei Wang and Ercai Chen

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-10

Abstract:

Let be a weakly conformal iterated function system on with attractor . Let be the canonical projection. In this paper we define a new concept called “projection pressure†for 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 .

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:807405

DOI: 10.1155/2012/807405

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