A note on correlation and local dimensions

作者：Yang, Jiaojiao^*; Kaenmaki, Antti; Wu, Min^*

来源：Chaos Solitons & Fractals, 2017, 97: 39-43.

DOI：10.1016/j.chaos.2017.02.004

• Correlation dimension
• Local dimension
• Moran construction
• Finite clustering property

Under very mild assumptions, we give formulas for the correlation and local dimensions of measures on the limit set of a Moran construction by means of the data used to construct the set.

• 出版日期2017-4
• 单位华中科技大学; 华南理工大学