Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (3): 221-225.

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Constructing Measure by Repeated Infinite Subdivision

  

  1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China
  • Received:2003-11-10 Online:2005-09-30 Published:2024-01-11
  • About author:YAN Zhi-bin(1967-),male,native of Hanchuan,Hubei,an associate professor of Harbin Institute of Technology,Ph.D.,engages in probability and control.
  • Supported by:
     Supported by the National Natural Science Foundation of China(60374024, 60474015);

Abstract: This paper generalizes the method of constructing measure by repeated finite subdivision in fractal geometry to that by infinite subdivision. Two conditions for the existing method are removed. A measure on the interval [0,1] is constructed using this generalized method.

Key words: measure;fractal;Tulcea , theorem

CLC Number: