Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 369, Issue 2, Pages 439-462Publisher
ELSEVIER
DOI: 10.1016/j.physa.2005.11.053
Keywords
statistical complexity; entropy; disequilibrium; distances in probability space; dynamical systems
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We discuss bounds on the values adopted by the generalized statistical complexity measures [M.T. Martin et al., Phys. Lett. A 311 (2003) 126; P.W. Lamberti et al., Physica A 334 (2004) 119] introduced by Lopez Ruiz et al. [Phys. Lett. A 209 (1995) 321] and Shiner et al. [Phys. Rev. E 59 (1999) 1459]. Several new theorems are proved and illustrated with reference to the celebrated logistic map. (c) 2006 Elsevier B.V. All rights reserved.
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