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dc.contributor.authorBru, J.-B.
dc.contributor.authorde Siqueira Pedra, W.
dc.date.accessioned2019-02-21T15:53:51Z
dc.date.available2019-02-21T15:53:51Z
dc.date.issued2013-07
dc.identifier.isbn978-0-8218-8976-3
dc.identifier.urihttp://hdl.handle.net/20.500.11824/938
dc.description.abstractWe define a Banach space $\mathcal{M}_{1}$ of models for fermions or quantum spins in the lattice with long range interactions and explicit the structure of (generalized) equilibrium states for any $\mathfrak{m}\in \mathcal{M}_{1}$. In particular, we give a first answer to an old open problem in mathematical physics - first addressed by Ginibre in 1968 within a different context - about the validity of the so--called Bogoliubov approximation on the level of states. Depending on the model $\mathfrak{m}\in \mathcal{M}_{1}$, our method provides a systematic way to study all its correlation functions and can thus be used to analyze the physics of long range interactions. Furthermore, we show that the thermodynamics of long range models $\mathfrak{m}\in \mathcal{M}_{1}$ is governed by the non--cooperative equilibria of a zero-sum game, called here the thermodynamic game.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectLong-rangeen_US
dc.subjectGame theoryen_US
dc.subjectFermi systemsen_US
dc.subjectMean-Fielden_US
dc.subjectConvex analysisen_US
dc.subjectC* algebraen_US
dc.titleNon-cooperative Equilibria of Fermi Systems With Long Range Interactionsen_US
dc.typeinfo:eu-repo/semantics/booken_US
dc.relation.publisherversionhttps://bookstore.ams.org/memo-224-1052en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleMemoirs of the AMSen_US


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Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España