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 map; sequential integral process; law of the iterated logarithm; uniform law of the iterated logarithm
제목
THE LAWS OF THE ITERATED LOGARITHM FOR THE TENT MAP
저자
Bae, Jongsig; Hwang, Changha; Jun, Doobae
DOI
10.4134/CKMS.c160179
발행일
2017
유형
Article
저널명
대한수학회논문집
권
32
호
4
페이지
1067 ~ 1076