• Corpus ID: 220546107

Genericity and Rigidity for Slow Entropy Transformations

  title={Genericity and Rigidity for Slow Entropy Transformations},
  author={Terry R. Adams},
  journal={arXiv: Dynamical Systems},
  • T. Adams
  • Published 27 June 2020
  • Mathematics, Computer Science
  • arXiv: Dynamical Systems
The notion of slow entropy, both upper and lower slow entropy, was defined by Katok and Thouvenot as a more refined measure of complexity for dynamical systems, than the classical Kolmogorov-Sinai entropy. For any subexponential rate function $a_n(t)$, we prove there exists a generic class of invertible measure preserving systems such that the lower slow entropy is zero and the upper slow entropy is infinite. Also, given any subexponential rate $a_n(t)$, we show there exists a rigid, weak… 

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