J4 ›› 2009, Vol. 47 ›› Issue (4): 749-751.

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Hausdorff Dimensions on Nonwandering Sets ofa Class of Interval Maps

LIAO Gongfu1,2, CHU Zhenyan2, FAN Qinjie1   

  1.  1. College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China;2. Institute of Mathematics, Jilin University, Changchun 130012, China
  • Received:2009-01-14 Online:2009-07-26 Published:2009-08-24
  • Contact: FAN Qinjie E-mail:fanqinjie@sina.com.cn.

Abstract:

By means of a simple forming technique, the authors proved that there exists an interval continuous selfmap of finite type for any s∈(0,1), such that the Hausdorff dimension of its nonwandering set is s.

Key words: interval mapping, nonwandering set, Hausdorff dimension

CLC Number: 

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