# Genericity and Rigidity for Slow Entropy Transformations

@article{Adams2020GenericityAR, title={Genericity and Rigidity for Slow Entropy Transformations}, author={Terry R. Adams}, journal={arXiv: Dynamical Systems}, year={2020} }

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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