THE LAWS OF THE ITERATED LOGARITHM FOR THE TENT MAP

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초록

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.

키워드

tent mapsequential integral processlaw of the iterated logarithmuniform law of the iterated logarithm
제목
THE LAWS OF THE ITERATED LOGARITHM FOR THE TENT MAP
저자
Bae, JongsigHwang, ChanghaJun, Doobae
DOI
10.4134/CKMS.c160179
발행일
2017
유형
Article
저널명
대한수학회논문집
32
4
페이지
1067 ~ 1076