A Shannon-Tsallis transformation
arXiv:1201.4507 · doi:10.1016/j.physa.2012.12.037
Abstract
We determine a general link between two different solutions of the MaxEnt variational problem, namely, the ones that correspond to using either Shannon's or Tsallis' entropies in the concomitant variational problem. It is shown that the two variations lead to equivalent solutions that take different appearances but contain the same information. These solutions are linked by our transformation.
References in corpus (13)
- Superdiffusion and non-Gaussian statistics in a driven-dissipative 2D dusty plasma
- A possible deformed algebra and calculus inspired in nonextensive thermostatistics
- Measurement of neutral mesons in p+p collisions at sqrt(s) = 200 GeV and scaling properties of hadron production
- Power-Law Distributions for a Trapped Ion Interacting with a Classical Buffer Gas
- Analysis of Self-Organized Criticality in the Olami-Feder-Christensen model and in real earthquakes
- Central limit behavior of deterministic dynamical systems
- Analysis of return distributions in the coherent noise model
- Collision entropy and optimal uncertainty
- Note on a q-modified central limit theorem
- Analysis of self-organized criticality in Ehrenfest's dog-flea model
- On a conjecture about Dirac's delta representation using q-exponentials
- A direct proof of Jauregui-Tsallis' conjecture
- Legendre-transform structure derived from quantum theorems