Matches in SemOpenAlex for { <https://semopenalex.org/work/W2779920306> ?p ?o ?g. }
- W2779920306 abstract "Lyons, Peres and Schramm have shown that minimal spanning forests on randomly weighted lattices exhibit a critical geometry in the sense that adding or deleting only a small number of edges results in a radical change of percolation properties. We show that these results can be extended to a Euclidean setting by considering families of stationary super- and subgraphs that approximate the Euclidean minimal spanning forest arbitrarily closely, but whose percolation properties differ decisively from those of the minimal spanning forest. Since these families can be seen as generalizations of the relative neighborhood graph and the nearest-neighbor graph, respectively, our results provide a new perspective on known percolation results from literature. We argue that the rates at which the approximating families converge to the minimal spanning forest are closely related to geometric characteristics of clusters in critical continuum percolation, and we show that convergence occurs at a polynomial rate." @default.
- W2779920306 created "2018-01-05" @default.
- W2779920306 creator A5042036645 @default.
- W2779920306 creator A5047595512 @default.
- W2779920306 creator A5075354115 @default.
- W2779920306 date "2017-01-01" @default.
- W2779920306 modified "2023-09-25" @default.
- W2779920306 title "Percolation and convergence properties of graphs related to minimal spanning forests" @default.
- W2779920306 cites W1490071018 @default.
- W2779920306 cites W1595783588 @default.
- W2779920306 cites W1976081176 @default.
- W2779920306 cites W1976332059 @default.
- W2779920306 cites W1982908189 @default.
- W2779920306 cites W1986564122 @default.
- W2779920306 cites W1987087398 @default.
- W2779920306 cites W1987767063 @default.
- W2779920306 cites W2015610066 @default.
- W2779920306 cites W2015859644 @default.
- W2779920306 cites W2035705692 @default.
- W2779920306 cites W2046728604 @default.
- W2779920306 cites W2046761586 @default.
- W2779920306 cites W2050171327 @default.
- W2779920306 cites W2060666409 @default.
- W2779920306 cites W2067335634 @default.
- W2779920306 cites W2072004926 @default.
- W2779920306 cites W2072517942 @default.
- W2779920306 cites W2075473854 @default.
- W2779920306 cites W2086317761 @default.
- W2779920306 cites W2161436091 @default.
- W2779920306 cites W2963188338 @default.
- W2779920306 cites W3104975753 @default.
- W2779920306 cites W630423399 @default.
- W2779920306 cites W3152000367 @default.
- W2779920306 doi "https://doi.org/10.1214/17-ejp129" @default.
- W2779920306 hasPublicationYear "2017" @default.
- W2779920306 type Work @default.
- W2779920306 sameAs 2779920306 @default.
- W2779920306 citedByCount "0" @default.
- W2779920306 crossrefType "journal-article" @default.
- W2779920306 hasAuthorship W2779920306A5042036645 @default.
- W2779920306 hasAuthorship W2779920306A5047595512 @default.
- W2779920306 hasAuthorship W2779920306A5075354115 @default.
- W2779920306 hasBestOaLocation W27799203061 @default.
- W2779920306 hasConcept C114614502 @default.
- W2779920306 hasConcept C118615104 @default.
- W2779920306 hasConcept C119599485 @default.
- W2779920306 hasConcept C127413603 @default.
- W2779920306 hasConcept C129782007 @default.
- W2779920306 hasConcept C132525143 @default.
- W2779920306 hasConcept C169760540 @default.
- W2779920306 hasConcept C2524010 @default.
- W2779920306 hasConcept C2729557 @default.
- W2779920306 hasConcept C2780457167 @default.
- W2779920306 hasConcept C33923547 @default.
- W2779920306 hasConcept C64331007 @default.
- W2779920306 hasConcept C69990965 @default.
- W2779920306 hasConcept C86803240 @default.
- W2779920306 hasConceptScore W2779920306C114614502 @default.
- W2779920306 hasConceptScore W2779920306C118615104 @default.
- W2779920306 hasConceptScore W2779920306C119599485 @default.
- W2779920306 hasConceptScore W2779920306C127413603 @default.
- W2779920306 hasConceptScore W2779920306C129782007 @default.
- W2779920306 hasConceptScore W2779920306C132525143 @default.
- W2779920306 hasConceptScore W2779920306C169760540 @default.
- W2779920306 hasConceptScore W2779920306C2524010 @default.
- W2779920306 hasConceptScore W2779920306C2729557 @default.
- W2779920306 hasConceptScore W2779920306C2780457167 @default.
- W2779920306 hasConceptScore W2779920306C33923547 @default.
- W2779920306 hasConceptScore W2779920306C64331007 @default.
- W2779920306 hasConceptScore W2779920306C69990965 @default.
- W2779920306 hasConceptScore W2779920306C86803240 @default.
- W2779920306 hasIssue "none" @default.
- W2779920306 hasLocation W27799203061 @default.
- W2779920306 hasLocation W27799203062 @default.
- W2779920306 hasOpenAccess W2779920306 @default.
- W2779920306 hasPrimaryLocation W27799203061 @default.
- W2779920306 hasRelatedWork W1982908189 @default.
- W2779920306 hasRelatedWork W1997098503 @default.
- W2779920306 hasRelatedWork W2009489698 @default.
- W2779920306 hasRelatedWork W2031292017 @default.
- W2779920306 hasRelatedWork W2055159727 @default.
- W2779920306 hasRelatedWork W2077310175 @default.
- W2779920306 hasRelatedWork W2483070502 @default.
- W2779920306 hasRelatedWork W2950525947 @default.
- W2779920306 hasRelatedWork W2950832780 @default.
- W2779920306 hasRelatedWork W2950933388 @default.
- W2779920306 hasRelatedWork W2950954110 @default.
- W2779920306 hasRelatedWork W2953390104 @default.
- W2779920306 hasRelatedWork W2963452453 @default.
- W2779920306 hasRelatedWork W2964314383 @default.
- W2779920306 hasRelatedWork W2964792391 @default.
- W2779920306 hasRelatedWork W3044847929 @default.
- W2779920306 hasRelatedWork W3100151049 @default.
- W2779920306 hasRelatedWork W3102259363 @default.
- W2779920306 hasRelatedWork W3107143418 @default.
- W2779920306 hasRelatedWork W3120385352 @default.
- W2779920306 hasVolume "22" @default.
- W2779920306 isParatext "false" @default.
- W2779920306 isRetracted "false" @default.
- W2779920306 magId "2779920306" @default.