Evolution algebras generated by Gibbs measures

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dc.creatorRozikov, Utkir A.
dc.creatorTian, Jianjun Paul
dc.date2009-03-10
dc.date.accessioned2026-07-07T12:50:53Z
dc.date.available2026-07-07T12:50:53Z
dc.descriptionIn this article we study algebraic structures of function spaces defined by graphs and state spaces equipped with Gibbs measures by associating evolution algebras. We give a constructive description of associating evolution algebras to the function spaces (cell spaces) defined by graphs and state spaces and Gibbs measure $μ$. For finite graphs we find some evolution subalgebras and other useful properties of the algebras. We obtain a structure theorem for evolution algebras when graphs are finite and connected. We prove that for a fixed finite graph, the function spaces has a unique algebraic structure since all evolution algebras are isomorphic to each other for whichever Gibbs measures assigned. When graphs are infinite graphs then our construction allows a natural introduction of thermodynamics in studying of several systems of biology, physics and mathematics by theory of evolution algebras.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0903.1770
dc.identifierhttp://arxiv.org/abs/0903.1770
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222824
dc.subjectCommutative Algebra
dc.subjectDynamical Systems
dc.subject08C92
dc.titleEvolution algebras generated by Gibbs measures
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