We explore a possible application of the additive generalization of the BoltzmannGibbs-Shannon entropy proposed in [A. N. Gorban, I. V. Karlin, Phys. Rev. E, 67:016104 (2003)] to fully developed turbulence. The predicted probability distribution functions are compared with those obtained from Tsallis’ entropy and with experimental data. Consequences of the existence of hidden subsystems are ill...

As the use of registration packages spreads, the number of the aligned image pairs in image databases (either by manual or automatic methods) increases dramatically. These image pairs can serve as a set of training data. Correspondingly, the images that are to be registered serve as testing data. In this paper, a novel medical image registration method is proposed which is based on the a priori...

In this short paper, we establish a variational expression of the Tsallis relative entropy. In addition, we derive a generalized thermodynamic inequality and a generalized Peierls-Bogoliubov inequality. Finally we give a generalized Golden-Thompson inequality.

In this paper, we present a thresholding technique based on two-dimensional Tsallis–Havrda–Charvát entropy. The effectiveness of the proposed method is demonstrated by using examples from the real-world and synthetic images. 2005 Elsevier B.V. All rights reserved.

The laws of thermodynamics constrain the formulation of statistical mechanics at the microscopic level. The third law of thermodynamics states that the entropy must vanish at absolute zero temperature for systems with nondegenerate ground states in equilibrium. Conversely, the entropy can vanish only at absolute zero temperature. Here we ask whether or not generalized entropies satisfy this fun...

The demand made upon computational analysis of observed symbolic sequences has been increasing in the last decade. Here, the concept of entropy receives applications, and the generalizations according to Tsallis H (T) q and R enyi H (R) q provide whole-spectra of entropies characterized by an order q. An enduring practical problem lies in the estimation of these entropies from observed data. Th...