We give a new proof of the theorems on the maximum entropy principle in Tsallis statistics.
That is, we show that the q-canonical distribution attains the maximum value of the Tsallis …

It needs set parameters on image segmentation based on PCNN (Pulse Coupled Neural
Network) now. This paper points out the new method for medical image segmentation based …

Geometric aspects of Tsallis' nonextensive statistics are discussed by means of geometry
with dual α-connections. Consequently, a close relation with the nonextensivity and …

We study the thermodynamics of systems based on a Fock space representation inspired by
the differential–difference operators proposed in Dunkl (1989). We calculate thermodynamic …

We consider the Fisher metric which results from the Hessian of the relative group entropy,
that we call group Fisher metric. In particular, the metrics corresponding to the Boltzmann …

We present an extension of the ergodic, mixing, and Bernoulli levels of the ergodic hierarchy
for statistical models on curved manifolds, making use of elements of the information …

Starting with the partition function Z for systems with M-statistics, as proposed in Chen et
al.(1996)[1], we calculate from the metric g α η=∂ ln Z∂ β α β η the scalar curvature R in two …

The Tsallis entropy and Fisher information entropy (matrix) are very important quantities
expressing information measures in nonextensive systems. Stationary and dynamical …

We discuss here the use of generalized forms of entropy, taken as information measures, to
characterize phase transitions and critical behavior in thermodynamic systems. Our study is …

Starting with the partition functions for quantum group invariant systems we calculate the
metric in the two-dimensional space defined by the parameters β and γ=− β μ and the …