Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2017; 32(4): 1067-1076

Online first article October 12, 2017      Printed October 31, 2017

https://doi.org/10.4134/CKMS.c160179

Copyright © The Korean Mathematical Society.

The laws of the iterated logarithm for the tent map

Jongsig Bae, Changha Hwang, Doobae Jun

Sungkyunkwan University, Dankook University, Gyeongsang National University

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This paper considers the asymptotic behaviors of the processesgenerated 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

MSC numbers: Primary 60F17; Secondary 37A50

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