Acta mathematica scientia, Series B >
ON A LEMMA OF BOWEN
Received date: 2013-06-25
Revised date: 2013-09-24
Online published: 2014-05-20
Supported by
The authors are supported by Program Caiyuanpei. The first author would like to thank the hospitality of LAMFA Picarde University where this work is partly done. The second author is supported by NSFC (11171128, 11271148).
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.
LI Ming-Tian , MA Ji-Hua . ON A LEMMA OF BOWEN[J]. Acta mathematica scientia, Series B, 2014 , 34(3) : 932 -940 . DOI: 10.1016/S0252-9602(14)60060-6
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