41 citations · 57 across the 3 of their papers we have counts for
3 papers
cs.IT2008★ 5 cited
The Relationship between Tsallis Statistics, the Fourier Transform, and Nonlinear Coupling
Kenric P. Nelson, Sabir Umarov
Tsallis statistics (or q-statistics) in nonextensive statistical mechanics is a one-parameter description of correlated states. In this paper we use a translated entropic index: $1…
cond-mat.stat-mech2007★ 11 cited
Multivariate Generalizations of the q--Central Limit Theorem
Sabir Umarov, Constantino Tsallis
We study multivariate generalizations of the -central limit theorem, a generalization of the classical central limit theorem consistent with nonextensive statistical mechanics.…
math.CA2006★ 41 cited
Random walk models associated with distributed fractional order differential equations
Sabir Umarov, Stanly Steinberg
In this paper the multi-dimensional random walk models governed by distributed fractional order differential equations and multi-term fractional order differential equations are co…