Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (3): 796-804.

• Articles • Previous Articles     Next Articles

Regular Subsets of a Class of Self-affine Set

 GUI Yong-Xin1,2, LI Wen-Xia2   

  1. 1.School of Mathematics and Statistics, Xianning College, Hubei Xianning 437100;
    2.Department of Mathematics, East China Normal University, Shanghai 200241
  • Received:2008-06-05 Revised:2010-05-22 Online:2011-06-25 Published:2011-06-25
  • Supported by:

    国家自然科学基金(10971069, 10771071)、上海市教委科研创新项目(11ZZ41)和湖北省高等学校优秀中青年科技创新团队计划 (T201009)资助

Abstract:

A class of regular subsets of the self-affine set introduced by Gatzouras and Lalley are studied. Their Hausdorff and packing dimensions are explicitly obtained.

Key words: Hausdorff dimension, Packing dimension, Self-affine set, Regular set

CLC Number: 

  • 28A80
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