Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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THE LAWS OF THE ITERATED LOGARITHM FOR THE TENT MAP

  • Bae, Jongsig (Department of Mathematics and Institute of Basic Science Sungkyunkwan University) ;
  • Hwang, Changha (Department of Statistics Dankook University) ;
  • Jun, Doobae (Department of Mathematics and RINS Gyeongsang National University)
  • Received : 2016.09.05
  • Accepted : 2017.07.27
  • Published : 2017.10.31
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Abstract

This paper considers the asymptotic behaviors of the processes generated by the classical ergodic tent map that is defined on the unit interval. We develop a sequential empirical process and get the uniform version of law of iterated logarithm for the tent map by using the bracketing entropy method.

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References

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