Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949117032> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W2949117032 abstract "For the hard-core lattice gas model defined on independent sets weighted by an activity $lambda$, we study the critical activity $lambda_c(mathbb{Z}^2)$ for the uniqueness/non-uniqueness threshold on the 2-dimensional integer lattice $mathbb{Z}^2$. The conjectured value of the critical activity is approximately $3.796$. Until recently, the best lower bound followed from algorithmic results of Weitz (2006). Weitz presented an FPTAS for approximating the partition function for graphs of constant maximum degree $Delta$ when $lambda 2.388$. In this paper, we establish an upper bound for this approach, by showing that, for all $sigma$, SSM does not hold on $T_{mathrm{saw}}^sigma(mathbb{Z}^2)$ when $lambda>3.4$. We also present a refinement of the approach of Restrepo et al. which improves the lower bound to $lambda_c(mathbb{Z}^2)>2.48$." @default.
- W2949117032 created "2019-06-27" @default.
- W2949117032 creator A5002345780 @default.
- W2949117032 creator A5045937072 @default.
- W2949117032 creator A5051363868 @default.
- W2949117032 date "2013-06-03" @default.
- W2949117032 modified "2023-10-03" @default.
- W2949117032 title "Improved Bounds on the Phase Transition for the Hard-Core Model in 2-Dimensions" @default.
- W2949117032 cites W1568240140 @default.
- W2949117032 cites W1645243942 @default.
- W2949117032 cites W1977155350 @default.
- W2949117032 cites W1987143995 @default.
- W2949117032 cites W2004724832 @default.
- W2949117032 cites W2013934974 @default.
- W2949117032 cites W2046402929 @default.
- W2949117032 cites W2078000356 @default.
- W2949117032 cites W2086016113 @default.
- W2949117032 cites W2120894224 @default.
- W2949117032 cites W2610857016 @default.
- W2949117032 cites W2953053085 @default.
- W2949117032 cites W2963577722 @default.
- W2949117032 cites W3147036763 @default.
- W2949117032 hasPublicationYear "2013" @default.
- W2949117032 type Work @default.
- W2949117032 sameAs 2949117032 @default.
- W2949117032 citedByCount "2" @default.
- W2949117032 countsByYear W29491170322015 @default.
- W2949117032 countsByYear W29491170322016 @default.
- W2949117032 crossrefType "posted-content" @default.
- W2949117032 hasAuthorship W2949117032A5002345780 @default.
- W2949117032 hasAuthorship W2949117032A5045937072 @default.
- W2949117032 hasAuthorship W2949117032A5051363868 @default.
- W2949117032 hasConcept C114614502 @default.
- W2949117032 hasConcept C121332964 @default.
- W2949117032 hasConcept C134306372 @default.
- W2949117032 hasConcept C199360897 @default.
- W2949117032 hasConcept C24890656 @default.
- W2949117032 hasConcept C2777021972 @default.
- W2949117032 hasConcept C2778049214 @default.
- W2949117032 hasConcept C2778113609 @default.
- W2949117032 hasConcept C2781204021 @default.
- W2949117032 hasConcept C33923547 @default.
- W2949117032 hasConcept C41008148 @default.
- W2949117032 hasConcept C42812 @default.
- W2949117032 hasConcept C62520636 @default.
- W2949117032 hasConcept C77553402 @default.
- W2949117032 hasConcept C97137487 @default.
- W2949117032 hasConceptScore W2949117032C114614502 @default.
- W2949117032 hasConceptScore W2949117032C121332964 @default.
- W2949117032 hasConceptScore W2949117032C134306372 @default.
- W2949117032 hasConceptScore W2949117032C199360897 @default.
- W2949117032 hasConceptScore W2949117032C24890656 @default.
- W2949117032 hasConceptScore W2949117032C2777021972 @default.
- W2949117032 hasConceptScore W2949117032C2778049214 @default.
- W2949117032 hasConceptScore W2949117032C2778113609 @default.
- W2949117032 hasConceptScore W2949117032C2781204021 @default.
- W2949117032 hasConceptScore W2949117032C33923547 @default.
- W2949117032 hasConceptScore W2949117032C41008148 @default.
- W2949117032 hasConceptScore W2949117032C42812 @default.
- W2949117032 hasConceptScore W2949117032C62520636 @default.
- W2949117032 hasConceptScore W2949117032C77553402 @default.
- W2949117032 hasConceptScore W2949117032C97137487 @default.
- W2949117032 hasOpenAccess W2949117032 @default.
- W2949117032 hasRelatedWork W1993274408 @default.
- W2949117032 hasRelatedWork W2069920946 @default.
- W2949117032 hasRelatedWork W2091075857 @default.
- W2949117032 hasRelatedWork W2278314150 @default.
- W2949117032 hasRelatedWork W2341536123 @default.
- W2949117032 hasRelatedWork W2529427987 @default.
- W2949117032 hasRelatedWork W2548164011 @default.
- W2949117032 hasRelatedWork W2730943346 @default.
- W2949117032 hasRelatedWork W2748531157 @default.
- W2949117032 hasRelatedWork W2768480272 @default.
- W2949117032 hasRelatedWork W2896248502 @default.
- W2949117032 hasRelatedWork W2949828900 @default.
- W2949117032 hasRelatedWork W2950207218 @default.
- W2949117032 hasRelatedWork W2951873601 @default.
- W2949117032 hasRelatedWork W2952287749 @default.
- W2949117032 hasRelatedWork W2953261448 @default.
- W2949117032 hasRelatedWork W2997163556 @default.
- W2949117032 hasRelatedWork W3012109763 @default.
- W2949117032 hasRelatedWork W3100573305 @default.
- W2949117032 hasRelatedWork W3200234314 @default.
- W2949117032 isParatext "false" @default.
- W2949117032 isRetracted "false" @default.
- W2949117032 magId "2949117032" @default.
- W2949117032 workType "article" @default.