Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (2): 283-289.

• Articles • Previous Articles     Next Articles

On Fractal Dimensions of some Level Sets of Random Walk

 XIONG Ying   

  1. (Department of Mathematics, South China University of Technology, Guangzhou 510641|School of Mathematics and Statistic,  Wuhan University,  |Wuhan 430072)
  • Received:2007-11-10 Revised:2008-12-08 Online:2009-04-25 Published:2009-04-25
  • Supported by:

    国家自然科学基金(10771164)资助

Abstract:

For one-dimensional simple symmetric random walk, the Hausdorff and packing dimensions of level sets with prescribed rate of returns to the origin are determined.

Key words: Simple symmetry random walk, Rate of returns, Fractal dimension

CLC Number: 

  • 28A80
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