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.

Trajectory versus probability density entropy / Bologna, M; Grigolini, P; Karagiorgis, M; Rosa, Angelo. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - 64:1(2001), pp. 1-9. [10.1103/PhysRevE.64.016223]

Trajectory versus probability density entropy

Rosa, Angelo
2001-01-01

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.
2001
64
1
1
9
016223
https://doi.org/10.1103/PhysRevE.64.016223
https://arxiv.org/abs/cond-mat/0004157
Bologna, M; Grigolini, P; Karagiorgis, M; Rosa, Angelo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13846
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