Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663976 | Acta Mathematica Scientia | 2014 | 9 Pages |
Abstract
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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)