允许揉搓序列在乘积度量下的维数和测度
Dimension and Measure of Admissible Kneading Sequences with Product Metric
单峰映射 / 允许揉搓序列 / Hausdorff维数和 Hausdorff测度 {{custom_keyword}} /
unimodal map / admissible kneading sequence / Hausdorff measure and Hausdorff dimension {{custom_keyword}} /
[1] Collet P., Eckmann J., Iterated Maps of the Intervals as Dynamical Systems, Boston: Birkhauser, 1980.
[2] de Melo W., van Strien S., One-Dimensional Dynamics, Ergebnisse der Mathematik und Ihrer Grenzgebiete (3), Berlin: Springer-Verlag, 1993.
[3] John M., William T., On iterated maps of the interval, Dynamical Systems, Lecture Notes in Math., 1988, 1342: 465--563.
[4] Huang G. F., Wang L. D., Liao G. F., Likely Limit Sets and Hausdorff Dimension of Unimodal Feigenbaum's Maps, Journal of Jilin University (Science Edition), 1999, 37 (1): 4--6 (in Chinese).
[5] Wen Z. Y., Mathematical Foundations of Fractal Geometry, Shenyang: Northeast University Press, 2001 (in Chinese).
[6] Zhang A. H., Liao G. F., Yan Z. Z., Dimension and measure of unimodal maps' admissible kneading sequences, Chinese Annals of Mathematics, 2006, 27(2): 255--258 (in Chinese).
国家自然科学基金资助项目(10571086)
/
〈 | 〉 |