Cookie-cutter-like dynamic system of unbounded expansion

Qing Hui Liu*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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 languageEnglish
Title of host publicationDifference Equations, Discrete Dynamical Systems and Applications, ICDEA 2014
EditorsYiming Ding, Ondřej Došly, Martin Bohner
PublisherSpringer New York LLC
Pages109-117
Number of pages9
ISBN (Print)9783319247458
DOIs
Publication statusPublished - 2015
Event20th International Conference on Difference Equations and Applications, ICDEA 2014 - Wuhan, China
Duration: 21 Jul 201425 Jul 2014

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume150
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference20th International Conference on Difference Equations and Applications, ICDEA 2014
Country/TerritoryChina
CityWuhan
Period21/07/1425/07/14

Keywords

  • Cookie-cutter-like
  • Fractal dimensions
  • Sturm Hamiltonian

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Cite this

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