Observability of Rényi's entropy
Abstract
Despite recent claims we argue that Rényi’s entropy is an observable quantity. It is shown that, contrary to popular belief, the reported domain of instability for Rényi entropies has zero measure (Bhattacharyya measure). In addition, we show that the instabilities can be easily emended by introducing a coarse graining into an actual measurement. We also clear up any doubts regarding the observability of Rényi’s entropy in (multi)fractal systems and in systems with absolutely continuous probability density functions.
- Publication:
-
Physical Review E
- Pub Date:
- February 2004
- DOI:
- arXiv:
- arXiv:cond-mat/0307698
- Bibcode:
- 2004PhRvE..69b6128J
- Keywords:
-
- 05.90.+m;
- 65.40.Gr;
- 47.53.+n;
- Other topics in statistical physics thermodynamics and nonlinear dynamical systems;
- Entropy and other thermodynamical quantities;
- Fractals in fluid dynamics;
- Condensed Matter - Statistical Mechanics;
- High Energy Physics - Theory;
- Mathematical Physics;
- Quantum Physics
- E-Print:
- 18 pages, 1 EPS figure, REVTeX, minor changes, accepted to Phys. Rev. E