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A Variational Principle of the Deformed Entropy

  • Hu Chen,
  • Zhiming Li

摘要

We introduce the notions of packing entropy and local entropy with respect to the deformed metric. In particular, a variational principle between deformed packing entropy and deformed local entropy is established. Finally, we obtain an inequality of the deformed packing entropy with respect to the factor map, which extends Bowen’s classical result.