activity
20002009
most citedGeneralized algebra within a nonextensive statistics

230 citations · 381 across the 17 of their papers we have counts for

collaborators

18 papers

cond-mat.stat-mech2009

Fractional Dynamics, Tiling Equilibrium states and Riemann's zeta function

A. Le Méhauté, A. El Kaabouchi, L. Nivanen +1

Il is argued that the generalisation of the mechanical principles to other variables than localisation, velocity and momentum leads to the laws of generalized dynamics under the co…

math-ph2008★ 1 cited

On an extension of Lesche stability

A. El Kaabouchi, A. Le Mehaute, L. Nivanen +2

In this paper, we give a new method for proving the Lesche stability of several functionals(Incomplete entropy, Tsallis entropy, κ- entropy, Quantum-Group entropy). We prove also t…

cond-mat.stat-mech2008★ 5 cited

A mathematical structure for the generalization of the conventional algebra

Aziz El Kaabouchi, Laurent Nivanen, Qiuping A. Wang +2

An abstract mathematical framework is presented in this paper as a unification of several deformed or generalized algebra proposed recently in the context of generalized statistica…

cond-mat.stat-mech2008★ 7 cited

A nonextensive approach to Bose-Einstein condensation of trapped interacting boson gas

A. Lawani, J. Le Meur, D. Tayurskii +7

In the Bose-Einstein condensation of interacting atoms or molecules such as 87Rb, 23Na and 7Li, the theoretical understanding of the transition temperature is not always obvious du…

cond-mat.stat-mech2008★ 2 cited

Understanding heavy fermion from generalized statistics

Y. Kaupp, S. Liraki, D. Tayurskii +7

Heavy electrons in superconducting materials are widely studied with the Kondo lattice t-J model. Numerical results have shown that the Fermi surface of these correlated particles…

cond-mat.stat-mech2007★ 3 cited

Incomplete normalization of probability on multifractals

Qiuping A. Wang, L. Nivanen, A. El Kaabouchi +2

This work is an extension of the incomplete probability theory from the simple case of monofractals previously studied to the more general case of multifractals which can occur in…