Search Results - subject:"Multiplicative duality"

Two-parameter entropies, Sk,r, and their dualities

Asgarani, Somayeh; Mirza, Behrouz - In: Physica A: Statistical Mechanics and its Applications 417 (2015) C, pp. 185-192

This paper investigates the dualities of two-parameter entropies, Sk,r Kaniadakis et al. (2005). Two kinds of dualities are found, namely inverse (r→−r) and inverse-scaling (r→−rs,k→ks) which recovers the additive (q→2−q) and multiplicative (q→1/q) dualities in the Tsallis limit.

Persistent link: https://www.econbiz.de/10011077846

Multiplicative duality, q-triplet and (μ,ν,q)-relation derived from the one-to-one correspondence between the (μ,ν)-multinomial coefficient and Tsallis entropy Sq

Suyari, Hiroki; Wada, Tatsuaki - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 1, pp. 71-83

We derive the multiplicative duality “q↔1/q” and other typical mathematical structures as the special cases of the (μ … slight generalization of this correspondence for the multiplicative duality requires the (μ,ν)-multinomial coefficient as a … additive duality and the multiplicative duality are recovered when ν=1 and ν=q, respectively. As other special cases, when ν=2 …

Persistent link: https://www.econbiz.de/10011061810