Modes, modals, and barycentric algebras: a brief survey and an additivity theorem

• Autorzy: Smith J. D. H.
• Języki publikacji: EN

Abstrakty

EN

Modes are idempotent and entropic algebras.Modals are both join semi lattices and modes,where the mode structure distributes over the join.Barycentric algebras are equipped with binary operations from the open unit interval,satisfying idempo tence,skew commutativity,and skew associativity.The article aims to give a brief survey of these structures and some of their applications.Special attention is devoted to hierar chical statistical mechanics and the modeling of complex systems.An additivity theorem for the entropy of independent combinations of systems is proved.

Słowa kluczowe

EN

entropic; afine space; semilattice; convexity; probability; entanglement; quasivariety; free algebra; hierarchical statistical mechanics; additivity

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2011
• Tom: Vol. 44, nr 3
• Strony: 571--587
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Smith J. D. H.

• Department Of Mathematics Iowa State University Ames, Iowa 50011, U.S.A.,

Bibliografia

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