Matches in SemOpenAlex for { <https://semopenalex.org/work/W2241569966> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W2241569966 abstract "In the two-type Richardson model on a graph $mathcal{G}=(mathcal{V},mathcal{E})$, each vertex is at a given time in state $0$, $1$ or $2$. A $0$ flips to a $1$ (resp. $2$) at rate $lambda_1$ ($lambda_2$) times the number of neighboring $1$'s ($2$'s), while $1$'s and $2$'s never flip. When $mathcal{G}$ is infinite, the main question is whether, starting from a single $1$ and a single $2$, with positive probability we will see both types of infection reach infinitely many sites. This has previously been studied on the $d$-dimensional cubic lattice $mathbb{Z}^d$, $dgeq 2$, where the conjecture (on which a good deal of progress has been made) is that such coexistence has positive probability if and only if $lambda_1=lambda_2$. In the present paper examples are given of other graphs where the set of points in the parameter space which admit such coexistence has a more surprising form. In particular, there exist graphs exhibiting coexistence at some value of $frac{lambda_1}{lambda_2} neq 1$ and non-coexistence when this ratio is brought closer to $1$." @default.
- W2241569966 created "2016-06-24" @default.
- W2241569966 creator A5066632918 @default.
- W2241569966 creator A5082517841 @default.
- W2241569966 date "2015-09-23" @default.
- W2241569966 modified "2023-09-27" @default.
- W2241569966 title "Nonmonotonic coexistence regions for the two-type Richardson model" @default.
- W2241569966 cites W2071432705 @default.
- W2241569966 cites W2080484553 @default.
- W2241569966 cites W2085540414 @default.
- W2241569966 hasPublicationYear "2015" @default.
- W2241569966 type Work @default.
- W2241569966 sameAs 2241569966 @default.
- W2241569966 citedByCount "0" @default.
- W2241569966 crossrefType "posted-content" @default.
- W2241569966 hasAuthorship W2241569966A5066632918 @default.
- W2241569966 hasAuthorship W2241569966A5082517841 @default.
- W2241569966 hasConcept C111919701 @default.
- W2241569966 hasConcept C114614502 @default.
- W2241569966 hasConcept C121332964 @default.
- W2241569966 hasConcept C132525143 @default.
- W2241569966 hasConcept C18903297 @default.
- W2241569966 hasConcept C24890656 @default.
- W2241569966 hasConcept C2524010 @default.
- W2241569966 hasConcept C2777299769 @default.
- W2241569966 hasConcept C2778113609 @default.
- W2241569966 hasConcept C2778572836 @default.
- W2241569966 hasConcept C2780990831 @default.
- W2241569966 hasConcept C2781204021 @default.
- W2241569966 hasConcept C33923547 @default.
- W2241569966 hasConcept C41008148 @default.
- W2241569966 hasConcept C62520636 @default.
- W2241569966 hasConcept C73586568 @default.
- W2241569966 hasConcept C80899671 @default.
- W2241569966 hasConcept C86803240 @default.
- W2241569966 hasConceptScore W2241569966C111919701 @default.
- W2241569966 hasConceptScore W2241569966C114614502 @default.
- W2241569966 hasConceptScore W2241569966C121332964 @default.
- W2241569966 hasConceptScore W2241569966C132525143 @default.
- W2241569966 hasConceptScore W2241569966C18903297 @default.
- W2241569966 hasConceptScore W2241569966C24890656 @default.
- W2241569966 hasConceptScore W2241569966C2524010 @default.
- W2241569966 hasConceptScore W2241569966C2777299769 @default.
- W2241569966 hasConceptScore W2241569966C2778113609 @default.
- W2241569966 hasConceptScore W2241569966C2778572836 @default.
- W2241569966 hasConceptScore W2241569966C2780990831 @default.
- W2241569966 hasConceptScore W2241569966C2781204021 @default.
- W2241569966 hasConceptScore W2241569966C33923547 @default.
- W2241569966 hasConceptScore W2241569966C41008148 @default.
- W2241569966 hasConceptScore W2241569966C62520636 @default.
- W2241569966 hasConceptScore W2241569966C73586568 @default.
- W2241569966 hasConceptScore W2241569966C80899671 @default.
- W2241569966 hasConceptScore W2241569966C86803240 @default.
- W2241569966 hasLocation W22415699661 @default.
- W2241569966 hasOpenAccess W2241569966 @default.
- W2241569966 hasPrimaryLocation W22415699661 @default.
- W2241569966 hasRelatedWork W1890114378 @default.
- W2241569966 hasRelatedWork W1998549714 @default.
- W2241569966 hasRelatedWork W2054409620 @default.
- W2241569966 hasRelatedWork W2315220517 @default.
- W2241569966 hasRelatedWork W2534081366 @default.
- W2241569966 hasRelatedWork W2563007847 @default.
- W2241569966 hasRelatedWork W2798878397 @default.
- W2241569966 hasRelatedWork W2886860624 @default.
- W2241569966 hasRelatedWork W2910713864 @default.
- W2241569966 hasRelatedWork W2949072070 @default.
- W2241569966 hasRelatedWork W2963556776 @default.
- W2241569966 hasRelatedWork W2963713484 @default.
- W2241569966 hasRelatedWork W2964026705 @default.
- W2241569966 hasRelatedWork W2964044319 @default.
- W2241569966 hasRelatedWork W3048484789 @default.
- W2241569966 hasRelatedWork W3087298269 @default.
- W2241569966 hasRelatedWork W3098403304 @default.
- W2241569966 hasRelatedWork W3142335819 @default.
- W2241569966 hasRelatedWork W3166470924 @default.
- W2241569966 hasRelatedWork W3203316337 @default.
- W2241569966 isParatext "false" @default.
- W2241569966 isRetracted "false" @default.
- W2241569966 magId "2241569966" @default.
- W2241569966 workType "article" @default.