The notion of the informational measure symmetry is introduced according to: Hsym(G)=−∑i=1kP(Gi)lnP(Gi), where P(Gi) probability appearance operation Gi within given 2D pattern. Hsym(G) interpreted as an averaged uncertainty in presence elements from group G “ideal” pattern built identical equilateral triangles established Hsym(D3)= 1.792. random, completely disordered zero, Hsym=0. calculated ...

The aim of this research was to determine the impact of voluntary information disclosure on informational content of share price. In this regard, future earnings response coefficient was used to determine the informational content of the share price about the future income information. Furthermore, share price synchronicity was used to evaluate the informational content of the share price about...

Higher cognitive functions, such as human perceptual decision making, require information processing and transmission across wide-spread cortical networks. Temporally synchronized neural firing patterns are advantageous for efficiently representing and transmitting information within and between assemblies. Computational, empirical, and conceptual considerations all lead to the expectation that...

The meromorphic functional calculus developed in Part I overcomes the nondiagonalizability of linear operators that arises often in the temporal evolution of complex systems and is generic to the metadynamics of predicting their behavior. Using the resulting spectral decomposition, we derive closed-form expressions for correlation functions, finite-length Shannon entropy-rate approximates, asym...

Computation at levels beyond storage and transmission of information appears in physical systems at phase transitions. We investigate this phenomenon using minimal computational models of dynamical systems that undergo a transition to chaos as a function of a nonlinearity parameter. For period-doubling and band-merging cascades, we derive expressions for the entropy, the interdependence of -mac...