The laws of the iterated logarithm for the tent map
Commun. Korean Math. Soc. 2017 Vol. 32, No. 4, 1067-1076
https://doi.org/10.4134/CKMS.c160179
Published online October 31, 2017
Jongsig Bae, Changha Hwang, Doobae Jun
Sungkyunkwan University, Dankook University, Gyeongsang National University
Abstract : 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
Downloads: Full-text PDF  


Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd