A monoparametric family of metrics for statistical mechanics

In a recent paper, we have studied a generalization of the Jensen–Shannon divergence (JSD) (Physica A 329 (2003) 81). This generalization was made in the context of Tsallis’ statistical mechanics. The present work is devoted to an investigation of the metric character of the JSD generalization.

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Bibliographic Details
Published in:Physica A 2004-12, Vol.344 (3), p.547-553
Main Authors: Majtey, Ana P., Lamberti, Pedro W., Plastino, A.
Format: Article
Language:English
Subjects:
Jensen–Shannon divergence
Metrics for probability spaces
Non-extensive statistical mechanics
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Summary:In a recent paper, we have studied a generalization of the Jensen–Shannon divergence (JSD) (Physica A 329 (2003) 81). This generalization was made in the context of Tsallis’ statistical mechanics. The present work is devoted to an investigation of the metric character of the JSD generalization.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2004.06.030