Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (4): 908-914.

• Articles • Previous Articles     Next Articles

The Doubling Property of Markov Measures on Self-similar Sets

 WANG Xiao-Hua1, WEN Zhi-Xiong2   

  1. 1.China Economics and Management Academy, Central University of Finance and Economics, Beijing 100081|2.Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074
  • Received:2008-03-24 Revised:2009-02-27 Online:2010-07-25 Published:2010-07-25
  • Supported by:

    国家自然科学基金(10971056, 10771164)和湖南省自然科学基金(09JJ3001)资助

Abstract:

The authors study Markov measures on self-similar sets which satisfy the open set condition and study necessary and sufficient conditions for their associated Markov measures to be doubling on its support in this paper. As an application, the authors characterize Markov measures with doubling properties on some self-similar sets.

Key words: Self-similar set, Markov measure, Doubling measure

CLC Number: 

  • 28A80
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