Factorization and escorting in the game-theoretical approach to non-extensive entropy measures

Details Factorization and escorting in the game-theoretical approach to non-extensive entropy measures Factorization and escorting in the game-theoretical approach to non-extensive entropy measures

2005-10-05

arxiv.org/abs/cond-mat/0510105v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, revtex4. For NEXT2005 proceedings

Scientific paper

10.1016/j.physa.2006.01.024

The game-theoretical approach to non-extensive entropy measures of statistical physics is based on an abstract measure of complexity from which the entropy measure is derived in a natural way. A wide class of possible complexity measures is considered and a property of factorization investigated. The property reflects a separation between the system being observed and the observer. Apparently, the property is also related to escorting. It is shown that only those complexity measures which are connected with Tsallis entropy have the factorization property.

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