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We are concerned with the sets of quasi generic points in finite symbolic space. We estimate the sizes of the sets by the Billingsley dimension defined by Gibbs measures. A dimension formula of such set is given, which generalizes Bowen's result. An application is given to the level sets of Birkhoff average. 相似文献
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Dimensions of cookie-cutter-like sets 总被引:1,自引:0,他引:1
The cookie-cutter-like sets are defined as the limit sets of a sequence of classical cookie-cutter mappings. By introducing
Gibbs-like measures, we study the dimensions, Hausdorff and packing measures of the CC-like sets, and then discuss the continuous
dependence of the dimensions. 相似文献
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