[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c160179

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)

Publication Information

Communications of the Korean Mathematical Society / v.32, no.4, 2017 , pp. 1067-1076 More about this Journal

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.

Keywords

tent map; sequential integral process; law of the iterated logarithm; uniform law of the iterated logarithm;

Citations & Related Records

Reference

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