Golden–Thompson’s Inequality for Deformed Exponentials

Frank Hansen

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


Deformed logarithms and their inverse functions, the deformed exponentials, are important tools in the theory of non-additive entropies and non-extensive statistical mechanics. We formulate and prove counterparts of Golden–Thompson’s trace inequality for $$ q $$q-exponentials with parameter $$ q $$q in the interval $$ [1,3]$$[1,3].

Original languageEnglish
Pages (from-to)1300-1305
Number of pages6
JournalJournal of Statistical Physics
Issue number6
Publication statusPublished - 2015 Jun 28


  • Concave trace function
  • Deformed exponentials
  • Golden–Thompson’s trace inequality

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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