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Weighted Entropy Formulae on Feldman-Katok Metric

  • Yunxiang Xie,
  • Ercai Chen,
  • Jiao Yang

摘要

In this paper, we prove that the weighted topological entropy defined by FK metric and Bowen metric are equal. Moreover, we establish a Brin-Katok formula and a Katok formula on weighted FK metric, respectively.