Matches in SemOpenAlex for { <https://semopenalex.org/work/W2080756979> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W2080756979 endingPage "334" @default.
- W2080756979 startingPage "313" @default.
- W2080756979 abstract "A system of random variables(spins) S x,x∈ℤ v, taking on values in ℝ is considered. Conditional probabilities for the joint distributions of a finite number of spins are prescribed; a DLR measure is then a process on the random variables which is consistent with the assigned conditional probabilities [1,2]. A case of physical interest both in Statistical Mechanics and in the lattice approximation to Quantum Field Theory is considered for which the spins interact pairwise via a potential J xySxSy, Jxy∈ℝ and via a self-interaction F(S x), which, as ¦S x¦→∞, diverges at least quadratically [3]. By use of a technique introduced in [2] it is proven that the set $$mathfrak{E} = { v is DLR|exists c(v), mathop {sup}limits_{x in mathbb{Z}^v } int {v(dS_x )} |S_x | < c(v)} $$ is a compact (in the local weak topology, Def. 1.1) non-void Choquet simplex [4]. Sufficient conditions are then given in order to obtain the measures in $$mathfrak{E}$$ as limits of Gibbs measures for finitely many spins in a wide class of boundary conditions, Theorem 1.2. Uniqueness in $$mathfrak{E}$$ is then discussed by means of a theorem by Dobrušin [2] and a sufficient condition for unicity is obtained which can be physically interpreted as a mean field condition [5]. Therefore the mean field temperature is rigorously proven to be an upper bound for the critical temperature." @default.
- W2080756979 created "2016-06-24" @default.
- W2080756979 creator A5042416681 @default.
- W2080756979 creator A5056160599 @default.
- W2080756979 creator A5068765881 @default.
- W2080756979 creator A5072484356 @default.
- W2080756979 date "1978-01-01" @default.
- W2080756979 modified "2023-09-25" @default.
- W2080756979 title "Existence and uniqueness of DLR measures for unbounded spin systems" @default.
- W2080756979 cites W1983760221 @default.
- W2080756979 cites W1999844717 @default.
- W2080756979 cites W2037426607 @default.
- W2080756979 cites W2055649245 @default.
- W2080756979 cites W2071313227 @default.
- W2080756979 cites W2072950705 @default.
- W2080756979 cites W2086234878 @default.
- W2080756979 cites W2132353975 @default.
- W2080756979 cites W2314786869 @default.
- W2080756979 doi "https://doi.org/10.1007/bf00533602" @default.
- W2080756979 hasPublicationYear "1978" @default.
- W2080756979 type Work @default.
- W2080756979 sameAs 2080756979 @default.
- W2080756979 citedByCount "68" @default.
- W2080756979 countsByYear W20807569792012 @default.
- W2080756979 countsByYear W20807569792015 @default.
- W2080756979 countsByYear W20807569792019 @default.
- W2080756979 countsByYear W20807569792020 @default.
- W2080756979 countsByYear W20807569792023 @default.
- W2080756979 crossrefType "journal-article" @default.
- W2080756979 hasAuthorship W2080756979A5042416681 @default.
- W2080756979 hasAuthorship W2080756979A5056160599 @default.
- W2080756979 hasAuthorship W2080756979A5068765881 @default.
- W2080756979 hasAuthorship W2080756979A5072484356 @default.
- W2080756979 hasBestOaLocation W20807569791 @default.
- W2080756979 hasConcept C114614502 @default.
- W2080756979 hasConcept C118615104 @default.
- W2080756979 hasConcept C121332964 @default.
- W2080756979 hasConcept C134306372 @default.
- W2080756979 hasConcept C158444337 @default.
- W2080756979 hasConcept C24890656 @default.
- W2080756979 hasConcept C26873012 @default.
- W2080756979 hasConcept C2777021972 @default.
- W2080756979 hasConcept C2778870898 @default.
- W2080756979 hasConcept C2781204021 @default.
- W2080756979 hasConcept C33923547 @default.
- W2080756979 hasConceptScore W2080756979C114614502 @default.
- W2080756979 hasConceptScore W2080756979C118615104 @default.
- W2080756979 hasConceptScore W2080756979C121332964 @default.
- W2080756979 hasConceptScore W2080756979C134306372 @default.
- W2080756979 hasConceptScore W2080756979C158444337 @default.
- W2080756979 hasConceptScore W2080756979C24890656 @default.
- W2080756979 hasConceptScore W2080756979C26873012 @default.
- W2080756979 hasConceptScore W2080756979C2777021972 @default.
- W2080756979 hasConceptScore W2080756979C2778870898 @default.
- W2080756979 hasConceptScore W2080756979C2781204021 @default.
- W2080756979 hasConceptScore W2080756979C33923547 @default.
- W2080756979 hasIssue "4" @default.
- W2080756979 hasLocation W20807569791 @default.
- W2080756979 hasOpenAccess W2080756979 @default.
- W2080756979 hasPrimaryLocation W20807569791 @default.
- W2080756979 hasRelatedWork W1982488386 @default.
- W2080756979 hasRelatedWork W1993453399 @default.
- W2080756979 hasRelatedWork W2014702954 @default.
- W2080756979 hasRelatedWork W2030975547 @default.
- W2080756979 hasRelatedWork W2044115466 @default.
- W2080756979 hasRelatedWork W2320758659 @default.
- W2080756979 hasRelatedWork W2325254006 @default.
- W2080756979 hasRelatedWork W2350012146 @default.
- W2080756979 hasRelatedWork W2963488231 @default.
- W2080756979 hasRelatedWork W2222154592 @default.
- W2080756979 hasVolume "41" @default.
- W2080756979 isParatext "false" @default.
- W2080756979 isRetracted "false" @default.
- W2080756979 magId "2080756979" @default.
- W2080756979 workType "article" @default.