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THE LAWS OF THE ITERATED LOGARITHM FOR THE TENT MAP
- Authors
- Bae, Jongsig; Hwang, Changha; Jun, Doobae
- Issue Date
- 2017
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- tent map; sequential integral process; law of the iterated logarithm; uniform law of the iterated logarithm
- Citation
- COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, v.32, no.4, pp 1067 - 1076
- Pages
- 10
- Indexed
- SCOPUS
ESCI
KCI
- Journal Title
- COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 32
- Number
- 4
- Start Page
- 1067
- End Page
- 1076
- ISSN
- 1225-1763
2234-3024
- 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.
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