By using the q -Gaussian distribution derived by the maximum entropy method for spatially correlated N -unit nonextensive systems, we have calculated the generalized Fisher information matrix of gthetanthetam for (theta1,theta2,theta3)=(muq,sigmaq2,s) , where muq, sigmaq2, and s denote the mean, variance, and degree of spatial correlation, respectively, for a given entropic index q . It has bee...

Information theory deals with measurement and transmission of information through a channel. A fundamental work in this area is the Shannon’s Information Theory (see [2], Chapter 11), which provides many useful tools that are based on measuring information in terms of the complexity of structures needed to encode a given piece of information. Shannon’s theory solves two central problems for cla...

Recently there is renewed interest in dissipative hydrodynamical models [1, 2, 3, 4, 5] prompted by the success of perfect hydrodynamics in describing RHIC data [6] and by recent calculations of transport coefficients of strongly interacting quark-gluon system using the AdS/CFT correspondence [7]. The question is whether dissipative hydrodynamics (d-hydrodynamics) is really needed and how it sh...

This is a study of the information evolution of complex systems through a geometrical consideration. We look at chaotic systems evolving in fractal phase space. The entropy change in time due to the fractal geometry is assimilated to the information growth through the scale refinement. Due to the incompleteness of the information calculation in fractal support at any scale, the incomplete norma...

We have calculated the Tsallis entropy and Fisher information matrix (entropy) of spatially correlated nonextensive systems, by using an analytic non-Gaussian distribution obtained by the maximum entropy method. The effects of the correlated variability on the Fisher information matrix are shown to be different from those on the Tsallis entropy. The Fisher information is increased (decreased) b...

Information theory deals with measurement and transmission of information through a channel. A fundamental work in this area is the Shannon’s Information Theory (see [2], Chapter 11), which provides many useful tools that are based on measuring information in terms of the complexity of structures needed to encode a given piece of information. Shannon’s theory solves two central problems for cla...