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Recent work on statistical complexity ¨ Detecting
and quantifying stochastic and coherence resonances via information-theory
complexity measurements Phys. Rev. E 79, 040106(R) (2009). O. A. Rosso, C. Masoller ¨ Detecting
and quantifying temporal correlations in stochastic resonance via information
theory measures Special
Issue on Stochastic Resonance O. A. Rosso, C. Masoller Eur. Phys. J. B 69, 37–43 (2009). ¨ Quantifying
complexity and noise induced order via information theory measures and ordinal
patterns symbolic analysis Talk at IFISC
CSIC-UIB, Palma de Mallorca, Spain 17/2/2010 (pdf file 3 Mb,
video) ¨ Quantifying
noise-induced order and noise-induced complexity via information theory
measures Invited Talk in Instabilities and Non-equilibrium Structures XII (on
the occasion of the 60th birthday of Pierre Coullet). Viña del Mar, Chile,
December 2009 (pdf file 1.3
Mb) ¨ Detecting
and quantifying noise induced complexity Invited Talk in XI Latin
American Workshop on Nonlinear Phenomena (LANWP09), Buzios, Brazil, October
2009 (pdf file
900 kb) |
Most systems in nature are neither completely ordered nor completely
disordered, but something in between. Complexity is characterized by a
certain degree of organization, structure, memory, regularity, symmetry, and
patterns. Within the framework of Information Theory, the statistical
complexity of a system is zero in the extreme situations of complete
knowledge (or “perfect order”) and total ignorance (or “complete randomness”).
Both are simple situations, as one is fully predictable, and the other one
has a simple statistical description. In order to capture the diversity and
the rich spectrum of unpredictability occurring between these two extreme
situations, many statistical complexity measures have been proposed in the literature,
which are useful tools for analyzing high-dimensional dynamics presenting
underlying, hidden, or unobserved states that might organize the system’s behavior.
Statistical complexity measures are particularly useful when there is no
prior knowledge of the hidden dynamics. |
