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Is there a kind of Shub entropy conjecture in the polynomial entropy framework?

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The shub conjecture on entropy of self map f on manifold M says that the topological entropy is greater (or equal) than (to) thelog of maximum absolute values of the eigenvalues of the linear map f* induced on Homologies.

Are there some Polynomial entropy version of this conjecture

The polynomial entropy is described here

https://link.springer.com/article/10.1134/S156035472304007X

I asked this question in mathoverflow too

asked Jul 9 in Theoretical Physics by AliTaghaviMath (145 points) [ revision history ]
recategorized Jul 12 by Dilaton

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