Matches in SemOpenAlex for { <https://semopenalex.org/work/W4321503298> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W4321503298 abstract "We quantify the behaviour at large scales of the beta coalescent Π={Π(t),t≥0} with parameters a,b>0. Specifically, we study the rescaled block size spectrum of Π(t) and of its restriction Πn(t) to {1,…,n}. Our main result is a law of large numbers type of result if Π comes down from infinity. In the case of Kingman’s coalescent the derivation of this so-called hydrodynamic limit has been known since the work of Smoluchowski (Z. Phys. 17 (1916) 557–585). We extend Smoluchowski’s result to beta coalescents and show that if Π comes down from infinity both rescaled spectra n−1(c1Π(tτn),…,cnΠ(tτn)),andn−1(c1Πn(tτn),…,cnΠn(tτn)), converge to (different) deterministic limits that we compute explicitly in terms of partial Bell polynomials. Here ciπ counts the number of blocks of size i in a partition π, and (τn) is a sequence such that τn∼n−(1−a) as n→∞. Along the way we study the nontrivial limits of the rescaled block counting processes {nα#Πn(tτn),t≥0}, and {nα#Π(tτn),t≥0}, where α∈[−1,−2/(3−a)), and τn∼nα(1−a) if Π comes down from infinity." @default.
- W4321503298 created "2023-02-23" @default.
- W4321503298 creator A5056636253 @default.
- W4321503298 creator A5076477708 @default.
- W4321503298 date "2023-02-01" @default.
- W4321503298 modified "2023-09-24" @default.
- W4321503298 title "Large-scale behaviour and hydrodynamic limit of beta coalescents" @default.
- W4321503298 cites W1542308449 @default.
- W4321503298 cites W1577186561 @default.
- W4321503298 cites W1974062746 @default.
- W4321503298 cites W1978421327 @default.
- W4321503298 cites W1979539133 @default.
- W4321503298 cites W1993462452 @default.
- W4321503298 cites W2017419290 @default.
- W4321503298 cites W2032382846 @default.
- W4321503298 cites W2057073325 @default.
- W4321503298 cites W2078026412 @default.
- W4321503298 cites W2104549134 @default.
- W4321503298 cites W2110099831 @default.
- W4321503298 cites W2114411217 @default.
- W4321503298 cites W2150781708 @default.
- W4321503298 cites W2171076293 @default.
- W4321503298 cites W2460484579 @default.
- W4321503298 cites W2963546987 @default.
- W4321503298 cites W2963575350 @default.
- W4321503298 cites W4210633230 @default.
- W4321503298 cites W4213329537 @default.
- W4321503298 cites W4238108362 @default.
- W4321503298 cites W4238937393 @default.
- W4321503298 cites W4247464444 @default.
- W4321503298 cites W4251732235 @default.
- W4321503298 cites W4253600201 @default.
- W4321503298 cites W793377103 @default.
- W4321503298 doi "https://doi.org/10.1214/22-aap1782" @default.
- W4321503298 hasPublicationYear "2023" @default.
- W4321503298 type Work @default.
- W4321503298 citedByCount "0" @default.
- W4321503298 crossrefType "journal-article" @default.
- W4321503298 hasAuthorship W4321503298A5056636253 @default.
- W4321503298 hasAuthorship W4321503298A5076477708 @default.
- W4321503298 hasConcept C104317684 @default.
- W4321503298 hasConcept C114614502 @default.
- W4321503298 hasConcept C118615104 @default.
- W4321503298 hasConcept C134306372 @default.
- W4321503298 hasConcept C151201525 @default.
- W4321503298 hasConcept C185592680 @default.
- W4321503298 hasConcept C193252679 @default.
- W4321503298 hasConcept C199360897 @default.
- W4321503298 hasConcept C2554327 @default.
- W4321503298 hasConcept C2776174256 @default.
- W4321503298 hasConcept C2777210771 @default.
- W4321503298 hasConcept C2778112365 @default.
- W4321503298 hasConcept C33923547 @default.
- W4321503298 hasConcept C41008148 @default.
- W4321503298 hasConcept C42812 @default.
- W4321503298 hasConcept C54355233 @default.
- W4321503298 hasConcept C55493867 @default.
- W4321503298 hasConcept C7321624 @default.
- W4321503298 hasConcept C86803240 @default.
- W4321503298 hasConceptScore W4321503298C104317684 @default.
- W4321503298 hasConceptScore W4321503298C114614502 @default.
- W4321503298 hasConceptScore W4321503298C118615104 @default.
- W4321503298 hasConceptScore W4321503298C134306372 @default.
- W4321503298 hasConceptScore W4321503298C151201525 @default.
- W4321503298 hasConceptScore W4321503298C185592680 @default.
- W4321503298 hasConceptScore W4321503298C193252679 @default.
- W4321503298 hasConceptScore W4321503298C199360897 @default.
- W4321503298 hasConceptScore W4321503298C2554327 @default.
- W4321503298 hasConceptScore W4321503298C2776174256 @default.
- W4321503298 hasConceptScore W4321503298C2777210771 @default.
- W4321503298 hasConceptScore W4321503298C2778112365 @default.
- W4321503298 hasConceptScore W4321503298C33923547 @default.
- W4321503298 hasConceptScore W4321503298C41008148 @default.
- W4321503298 hasConceptScore W4321503298C42812 @default.
- W4321503298 hasConceptScore W4321503298C54355233 @default.
- W4321503298 hasConceptScore W4321503298C55493867 @default.
- W4321503298 hasConceptScore W4321503298C7321624 @default.
- W4321503298 hasConceptScore W4321503298C86803240 @default.
- W4321503298 hasIssue "1" @default.
- W4321503298 hasLocation W43215032981 @default.
- W4321503298 hasOpenAccess W4321503298 @default.
- W4321503298 hasPrimaryLocation W43215032981 @default.
- W4321503298 hasRelatedWork W1599846817 @default.
- W4321503298 hasRelatedWork W2022065048 @default.
- W4321503298 hasRelatedWork W2025421274 @default.
- W4321503298 hasRelatedWork W2145358719 @default.
- W4321503298 hasRelatedWork W2334144770 @default.
- W4321503298 hasRelatedWork W2475565712 @default.
- W4321503298 hasRelatedWork W2952797163 @default.
- W4321503298 hasRelatedWork W3086542228 @default.
- W4321503298 hasRelatedWork W4294327243 @default.
- W4321503298 hasRelatedWork W799385809 @default.
- W4321503298 hasVolume "33" @default.
- W4321503298 isParatext "false" @default.
- W4321503298 isRetracted "false" @default.
- W4321503298 workType "article" @default.