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Variational Principles for $r$-Neutralized Pfister-Sullivan Entropy

Chen, Ercai et al.
arXiv (All) · Papers
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dynamical-systems
In this paper, we study $r$-neutralized Pfister--Sullivan entropy, defined by measuring the complexity of orbit segments whose empirical measures lie near a prescribed invariant measure. We mainly obtain the following three results: (i) We disprove a variational conjecture posed by C.~Dong and Q.~Q
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