Corpus ID: 220546107

Genericity and Rigidity for Slow Entropy Transformations

@inproceedings{Adams2020GenericityAR,
  title={Genericity and Rigidity for Slow Entropy Transformations},
  author={Terry N. Adams},
  year={2020}
}
  • Terry N. Adams
  • Published 2020
  • Mathematics, Computer Science
  • Abstract. 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 an(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 an(t), we show there exists a rigid, weak… CONTINUE READING
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