There is no term that better describes the essential features of human society than complexity. On various levels, from the decision-making processes of individuals, through to the interactions between individuals leading to the spontaneous formation of groups and social hierarchies, up to the...

There is no term that better describes the essential features of human society than complexity. On various levels, from the decision-making processes of individuals, through to the interactions between individuals leading to the spontaneous formation of groups and social hierarchies, up to the...

The business environment dynamics is governed by a high degree of uncertainty and risk; consequently, in a majority of cases investors face serious difficulties when making business decisions. Additionally, when detailed statistical information relating to industry is missing, any decisions may...

In this note I show that Tsallis entropy (Tsallis, 1988) is not unique in the class of non-additive, selfweighted and quasilinear means. A characterization is given which disproves a result in Dukkipati et al. (2005a,b) and Dukkipati et al. (2006).

One of the important issues in finance and economics for both scholars and practitioners is to describe the behavior of markets, especially during times of crises. In this paper, we analyze the behavior of some mature and emerging markets with a Tsallis entropy framework that is a non-extensive...

Tsallis entropy introduced in 1988 based on the equation Sq=1−∑ipiqq−1 has been considered to obtain new possibilities for constructing a generalized thermodynamical basis for statistical physics, expanding classical Boltzmann–Gibbs thermodynamics for non-equilibrium states. During the...

We present an application of Tsallis’ generalized entropy to analysis for thermodynamical nature of the self-gravitating stellar systems. Extremizing the Tsallis entropy, we obtain an equation of the state known as stellar polytrope. And a role of the extremes as a quasi-equilibrium is shown...

We present a recent progress on the numerical study of the long-term evolution of stellar self-gravitating systems, focusing on the connection with non-extensive statistics. In particular, we discuss the quasi-equilibrium behaviors found in the previous N-body simulations. Using the...

In this paper, we continue to investigate the thermodynamic properties of stellar self-gravitating system arising from the Tsallis generalized entropy. In particular, physical interpretation of the thermodynamic instability, as has been revealed by previous paper (Physica A 307 (2002) 185), is...