The Projection Pressure for Asymptotically Weak Separation Condition and Bowen's Equation
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 chec...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/807405 |
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| Summary: | 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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| ISSN: | 1026-0226 1607-887X |