Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (5): 873-878.

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Packing Dimensional Results for Homogeneous Moran Sets

Hu Xiaomei1,2   

  1. 1. School of Mathematics and Statistics, Central China Normal University, Wuhan 430079;
    2. School of Mathematics and Statistics, Hubei University of Science and Technology, Hubei Xianning 437100
  • Received:2015-12-09 Revised:2016-09-09 Online:2016-10-26 Published:2016-10-26
  • Supported by:

    Supported by the NSFC(11271148)

Abstract:

In this paper, we construct a class of special homogeneous Moran set, called {mk}-quasi homogeneous Cantor set and discuss their packing dimensions. By adjusting the value of {mk}k≥1, we constructively prove the intermediate value theorem about packing dimensions of the homogeneous Moran sets. Moreover, we obtain a sufficient condition that the packing dimension of homogeneous Moran sets may get the minimum value.

Key words: Homogeneous Moran set, {mk}-Moran set, {mk}-Quasi homogeneous Cantor set, Packing dimension

CLC Number: 

  • O174.12
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