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Refined shrinking target property of rotations
- Authors
- Kim, Dong Han
- Issue Date
- Sep-2014
- Publisher
- IOP PUBLISHING LTD
- Keywords
- shrinking target property; irrational rotation; metric inhomogeneous diophantine approximation
- Citation
- NONLINEARITY, v.27, no.9, pp 1985 - 1997
- Pages
- 13
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- NONLINEARITY
- Volume
- 27
- Number
- 9
- Start Page
- 1985
- End Page
- 1997
- ISSN
- 0951-7715
1361-6544
- Abstract
- In this study we discuss the shrinking target property of irrational rotations. We obtain the condition of an irrational theta and monotonically increasing phi(n) such that lim (n -> infinity) inf n phi(n) parallel to n theta - s parallel to = 0 for almost every s. We also consider the class of irrationals for which the limit inferior is 0 for every monotonically increasing phi(n) such that Sigma(n) 1/(n phi(n)) diverges.
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Related Researcher
- Kim, Dong Han
- College of Education (Department of Mathematics Education)