Abstract
Cookie-cutter-like dynamic system is an important tool in study of dimensional properties of Sturm Hamiltonian. We prove that for the Cookie-cutter-like dynamic system with unbounded expansion, the properties such as bounded variation, bounded distortion, existence of Gibbs-like measure still hold.
Original language | English |
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Title of host publication | Difference Equations, Discrete Dynamical Systems and Applications, ICDEA 2014 |
Editors | Yiming Ding, Ondřej Došly, Martin Bohner |
Publisher | Springer New York LLC |
Pages | 109-117 |
Number of pages | 9 |
ISBN (Print) | 9783319247458 |
DOIs | |
Publication status | Published - 2015 |
Event | 20th International Conference on Difference Equations and Applications, ICDEA 2014 - Wuhan, China Duration: 21 Jul 2014 → 25 Jul 2014 |
Publication series
Name | Springer Proceedings in Mathematics and Statistics |
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Volume | 150 |
ISSN (Print) | 2194-1009 |
ISSN (Electronic) | 2194-1017 |
Conference
Conference | 20th International Conference on Difference Equations and Applications, ICDEA 2014 |
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Country/Territory | China |
City | Wuhan |
Period | 21/07/14 → 25/07/14 |
Keywords
- Cookie-cutter-like
- Fractal dimensions
- Sturm Hamiltonian
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Liu, Q. H. (2015). Cookie-cutter-like dynamic system of unbounded expansion. In Y. Ding, O. Došly, & M. Bohner (Eds.), Difference Equations, Discrete Dynamical Systems and Applications, ICDEA 2014 (pp. 109-117). (Springer Proceedings in Mathematics and Statistics; Vol. 150). Springer New York LLC. https://doi.org/10.1007/978-3-319-24747-2_8