Matches in SemOpenAlex for { <https://semopenalex.org/work/W2162627963> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W2162627963 endingPage "1350023" @default.
- W2162627963 startingPage "1350023" @default.
- W2162627963 abstract "An infection spreads in a binary tree [Formula: see text] of height n as follows: initially, each leaf is either infected by one of k states or it is not infected at all. The infection state of each leaf is independently distributed according to a probability vector p = (p 1 , …, p k+1 ). The remaining nodes become infected or not via annihilation and coalescence: nodes whose two children have the same state (infected or not) are infected (or not) by this state; nodes whose two children have different states are not infected; nodes such that only one of the children is infected are infected by this state. In this paper we characterize, for every p, the limiting distribution at the root node of [Formula: see text] as n goes to infinity. We also consider a variant of the model when k = 2 and a mutation can happen, with a fixed probability q, at each infection step. We characterize, in terms of p and q, the limiting distribution at the root node of [Formula: see text] as n goes to infinity. The distribution at the root node is driven by a dynamical system, and the proofs rely on the analysis of this dynamics." @default.
- W2162627963 created "2016-06-24" @default.
- W2162627963 creator A5021481715 @default.
- W2162627963 creator A5059311017 @default.
- W2162627963 date "2014-05-29" @default.
- W2162627963 modified "2023-10-18" @default.
- W2162627963 title "Annihilation and coalescence on binary trees" @default.
- W2162627963 cites W1550247484 @default.
- W2162627963 cites W2039494655 @default.
- W2162627963 cites W2041345256 @default.
- W2162627963 cites W2064513813 @default.
- W2162627963 cites W2065232720 @default.
- W2162627963 cites W2079520411 @default.
- W2162627963 cites W2315152876 @default.
- W2162627963 doi "https://doi.org/10.1142/s0219493713500238" @default.
- W2162627963 hasPublicationYear "2014" @default.
- W2162627963 type Work @default.
- W2162627963 sameAs 2162627963 @default.
- W2162627963 citedByCount "1" @default.
- W2162627963 countsByYear W21626279632016 @default.
- W2162627963 crossrefType "journal-article" @default.
- W2162627963 hasAuthorship W2162627963A5021481715 @default.
- W2162627963 hasAuthorship W2162627963A5059311017 @default.
- W2162627963 hasBestOaLocation W21626279632 @default.
- W2162627963 hasConcept C108710211 @default.
- W2162627963 hasConcept C110121322 @default.
- W2162627963 hasConcept C11413529 @default.
- W2162627963 hasConcept C114614502 @default.
- W2162627963 hasConcept C118615104 @default.
- W2162627963 hasConcept C121332964 @default.
- W2162627963 hasConcept C127413603 @default.
- W2162627963 hasConcept C134306372 @default.
- W2162627963 hasConcept C149792144 @default.
- W2162627963 hasConcept C188198153 @default.
- W2162627963 hasConcept C197855036 @default.
- W2162627963 hasConcept C201941533 @default.
- W2162627963 hasConcept C2524010 @default.
- W2162627963 hasConcept C33923547 @default.
- W2162627963 hasConcept C48103436 @default.
- W2162627963 hasConcept C48372109 @default.
- W2162627963 hasConcept C62520636 @default.
- W2162627963 hasConcept C62611344 @default.
- W2162627963 hasConcept C7321624 @default.
- W2162627963 hasConcept C78519656 @default.
- W2162627963 hasConcept C87355193 @default.
- W2162627963 hasConcept C94375191 @default.
- W2162627963 hasConceptScore W2162627963C108710211 @default.
- W2162627963 hasConceptScore W2162627963C110121322 @default.
- W2162627963 hasConceptScore W2162627963C11413529 @default.
- W2162627963 hasConceptScore W2162627963C114614502 @default.
- W2162627963 hasConceptScore W2162627963C118615104 @default.
- W2162627963 hasConceptScore W2162627963C121332964 @default.
- W2162627963 hasConceptScore W2162627963C127413603 @default.
- W2162627963 hasConceptScore W2162627963C134306372 @default.
- W2162627963 hasConceptScore W2162627963C149792144 @default.
- W2162627963 hasConceptScore W2162627963C188198153 @default.
- W2162627963 hasConceptScore W2162627963C197855036 @default.
- W2162627963 hasConceptScore W2162627963C201941533 @default.
- W2162627963 hasConceptScore W2162627963C2524010 @default.
- W2162627963 hasConceptScore W2162627963C33923547 @default.
- W2162627963 hasConceptScore W2162627963C48103436 @default.
- W2162627963 hasConceptScore W2162627963C48372109 @default.
- W2162627963 hasConceptScore W2162627963C62520636 @default.
- W2162627963 hasConceptScore W2162627963C62611344 @default.
- W2162627963 hasConceptScore W2162627963C7321624 @default.
- W2162627963 hasConceptScore W2162627963C78519656 @default.
- W2162627963 hasConceptScore W2162627963C87355193 @default.
- W2162627963 hasConceptScore W2162627963C94375191 @default.
- W2162627963 hasIssue "03" @default.
- W2162627963 hasLocation W21626279631 @default.
- W2162627963 hasLocation W21626279632 @default.
- W2162627963 hasLocation W21626279633 @default.
- W2162627963 hasLocation W21626279634 @default.
- W2162627963 hasOpenAccess W2162627963 @default.
- W2162627963 hasPrimaryLocation W21626279631 @default.
- W2162627963 hasRelatedWork W1542613408 @default.
- W2162627963 hasRelatedWork W1996614773 @default.
- W2162627963 hasRelatedWork W2306553012 @default.
- W2162627963 hasRelatedWork W2576399385 @default.
- W2162627963 hasRelatedWork W2808944898 @default.
- W2162627963 hasRelatedWork W2951724202 @default.
- W2162627963 hasRelatedWork W3084261076 @default.
- W2162627963 hasRelatedWork W3196207352 @default.
- W2162627963 hasRelatedWork W4251417359 @default.
- W2162627963 hasRelatedWork W2963408011 @default.
- W2162627963 hasVolume "14" @default.
- W2162627963 isParatext "false" @default.
- W2162627963 isRetracted "false" @default.
- W2162627963 magId "2162627963" @default.
- W2162627963 workType "article" @default.