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Trajectory versus probability density entropy

Mauro Bologna·Paolo Grigolini·Markos Karagiorgis
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Abstract

We study the problem of entropy increase of the Bernoulli-shift map without recourse to the concept of trajectory and we discuss whether, and under which conditions if it does, the distribution density entropy coincides with the Kolmogorov-Sinai entropy, namely, with the trajectory entropy.

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Mauro Bologna, Paolo Grigolini, Markos Karagiorgis. 2000-04-10. Trajectory versus probability density entropy. https://doi.org/10.1103/physreve.64.016223

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