Continuity of a class of entropies and relative entropies

2002/08/31 by Jan Naudts · 1 citation
Physics and Astronomy · Mathematics · #math-ph #cond-mat.stat-mech #math.MP #msc:82B30 #msc:94A17

paper · pdf

published as Rev. Math. Phys. 16(6), 809-822 (2004). · Revised version, with change of title and changes in notations

arxiv created 2004/01/30 · arxiv updated 2009/11/30

Abstract

The present paper studies continuity of generalized entropy functions and relative entropies defined using the notion of a deformed logarithmic function. In particular, two distinct definitions of relative entropy are discussed. As an application, all considered entropies are shown to satisfy Lesche's stability condition. The entropies of Tsallis' nonextensive thermostatistics are taken as examples.

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