On observability of Renyi's entropy

Details On observability of Renyi's entropy On observability of Renyi's entropy

2003-07-29

arxiv.org/abs/cond-mat/0307698v2

Phys.Rev. E69 (2004) 026128

Physics

Condensed Matter

Statistical Mechanics

18 pages, 1 EPS figure, REVTeX, minor changes, accepted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.69.026128

Despite recent claims we argue that Renyi's entropy is an observable quantity. It is shown that, contrary to popular belief, the reported domain of instability for Renyi entropies has zero measure (Bhattacharyya measure). In addition, we show the instabilities can be easily emended by introducing a coarse graining into an actual measurement. We also clear up doubts regarding the observability of Renyi's entropy in (multi--)fractal systems and in systems with absolutely continuous PDF's.

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