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A remark on packing polynomial entropy

  • Zhongxuan Yang,
  • Shihao Meng,
  • Jianzhong Lu

摘要

In this paper, we introduce the notions of packing polynomial entropy for subsets and local measure-theoretic polynomial entropy for Borel probability measures. We investigate the relationship between Bowen polynomial entropy and packing polynomial entropy, and establish both variational and inverse variational principles for the packing polynomial entropy of subsets.