Trajectory versus probability density entropy

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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24 pages

Scientific paper

10.1103/PhysRevE.64.016223

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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