81 citations · 151 across the 41 of their papers we have counts for
8 papers · 2 filters
Correlated Gaussian systems exhibiting additive power-law entropies
C. Vignat, A. Plastino, A. R. Plastino
We show, on purely statistical grounds and without appeal to any physical model, that a power-law entropy , with , can be {\it extensive}. More specifically, if the…
A note on bounded entropies
Pierre-Olivier Amblard, Christophe Vignat
The aim of the paper is to study the link between non additivity of some entropies and their boundedness. We propose an axiomatic construction of the entropy relying on the fact th…
Poincaré's Observation and the Origin of Tsallis Generalized Canonical Distributions
C. Vignat, A. Plastino
In this paper, we present some geometric properties of the maximum entropy (MaxEnt) Tsallis- distributions under energy constraint. In the case q > 1, these distributions are prove…
Superstatistics Based on the Microcanonical Ensemble
C. Vignat, A. Plastino, A. R. Plastino
Superstatistics is a "statistics" of "canonical-ensemble statistics". In analogy, we consider here a similar theoretical construct, but based upon the microcanonical ensemble. The…
The sphere and the geometric substratum of power law probability distributions
C. Vignat, A. Plastino
Links between power law probability distributions and marginal distributions of uniform laws on -spheres in show that a mathematical derivation of the Boltzmann…
Density operators that extremize Tsallis entropy and thermal stability effects
C. Vignat, A. Plastino
Quite general, analytical (both exact and approximate) forms for discrete probability distributions (PD's) that maximize Tsallis entropy for a fixed variance are here investigated.…