Dimensional entropy over sets and fibres

作者：Oprocha Piotr; Zhang Guohua^*

来源：Nonlinearity, 2011, 24(8): 2325-2346.

DOI：10.1088/0951-7715/24/8/009

This paper is devoted to a study of dimensional entropy, especially entropy on the fibres of factor maps. We show that dimensional entropy and topological entropy of sets are not usually equal, while dimensional entropy over fibres always corresponds to entropy of the factor. Then we provide an estimate of the dimensional entropy of the image of a set under a factor map. Finally we solve a few questions stated recently by Dai and Jiang on distance entropy (which is a modification of dimensional entropy).

• 出版日期2011-8
• 单位复旦大学