| Autor: |
Kaabouchi, Aziz El, Wang, Qiuping A., Ou, C. J., Chen, Jincan, Su, Guozhen, Méhauté, Alain Le |
| Rok vydání: |
2009 |
| Předmět: |
|
| Zdroj: |
Journal of Mathematical Physics 52(2011)063302 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1063/1.3589845 |
| Popis: |
We provide a counterexample to show that the generic form of entropy S(p)=sum_i g(p_i) is not always stable against small variation of probability distribution (Lesche stability) even if is concave function on [0,1] and analytic on ]0,1]. Our conclusion is that the stability of such a generic functional needs more hypotheses on the property of the function g, or in other words, the stability of entropy cannot be discussed at this formal stage. |
| Databáze: |
arXiv |
| Externí odkaz: |
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