Recent work done in collaboration with Osvaldo Rosso on noise-induced complexity

¨ 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 format 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 format 900 kb)

¨ Detecting and quantifying stochastic and coherence resonances via information-theory complexity measurements

Phys. Rev. E 79, 040106(R) (2009).

paper in pdf format (143 KB)

¨ Detecting and quantifying temporal correlations in stochastic resonance via information theory measures

Special Issue on Stochastic Resonance

Eur. Phys. J. B 69, 37–43 (2009).

paper in pdf format (331 KB)

 

butterfly.jpg

Complexity denotes a state of affairs that one can easily appreciate when confronted with it; however, is rather difficult to define it quantitatively.

In between the two special instances of perfect order and complete randomness, a wide range of possible degrees of physical structure exists.

The statistical complexity captures the degree of correlational structures, as Shannon’s entropy “captures” randomness.