Journal
ENTROPY
Volume 13, Issue 6, Pages 1055-1075Publisher
MDPI
DOI: 10.3390/e13061055
Keywords
generalized statistical complexity; disequilibrium; information theory; selection of the probability distribution; semiclassical theories; quantum chaos
Categories
Funding
- CIC of Argentina
- CONICET, Argentina
- CAPES, Brazil
- Spain Ministry of Science and Innovation [FIS2008-00781]
- FEDER
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Statistical complexity measures (SCM) are the composition of two ingredients: (i) entropies and (ii) distances in probability-space. In consequence, SCMs provide a simultaneous quantification of the randomness and the correlational structures present in the system under study. We address in this review important topics underlying the SCM structure, viz., (a) a good choice of probability metric space and (b) how to assess the best distance-choice, which in this context is called a disequilibrium and is denoted with the letter Q. Q, indeed the crucial SCM ingredient, is cast in terms of an associated distance D. Since out input data consists of time-series, we also discuss the best way of extracting from the time series a probability distribution P. As an illustration, we show just how these issues affect the description of the classical limit of quantum mechanics.
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