Matches in SemOpenAlex for { <https://semopenalex.org/work/W4221143942> ?p ?o ?g. }
Showing items 1 to 62 of
62
with 100 items per page.
- W4221143942 abstract "We investigate here the asymptotic behaviour of a large typical meandric system. More precisely, we show the quenched local convergence of a random uniform meandric system $M_n$ on $2n$ points, as $n rightarrow infty$, towards the infinite noodle introduced by Curien, Kozma, Sidoravicius and Tournier ({em Ann. Inst. Henri Poincar'e D}, {6}(2):221--238, 2019). As a consequence, denoting by $cc( M_n)$ the number of connected components of $ M_n$, we prove the convergence in probability of $cc(M_n)/n$ to some constant $kappa$, answering a question raised independently by Goulden--Nica--Puder ({em Int. Math. Res. Not.}, 2020(4):983--1034, 2020) and Kargin ({em Journal of Statistical Physics}, 181(6):2322--2345, 2020). This result also provides information on the asymptotic geometry of the Hasse diagram of the lattice of non-crossing partitions. Finally, we obtain expressions of the constant $kappa$ as infinite sums over meanders, which allows us to compute upper and lower approximations of $kappa$." @default.
- W4221143942 created "2022-04-03" @default.
- W4221143942 creator A5073158231 @default.
- W4221143942 creator A5086317606 @default.
- W4221143942 date "2022-01-27" @default.
- W4221143942 modified "2023-09-25" @default.
- W4221143942 title "Components in meandric systems and the infinite noodle" @default.
- W4221143942 doi "https://doi.org/10.48550/arxiv.2201.11572" @default.
- W4221143942 hasPublicationYear "2022" @default.
- W4221143942 type Work @default.
- W4221143942 citedByCount "0" @default.
- W4221143942 crossrefType "posted-content" @default.
- W4221143942 hasAuthorship W4221143942A5073158231 @default.
- W4221143942 hasAuthorship W4221143942A5086317606 @default.
- W4221143942 hasBestOaLocation W42211439421 @default.
- W4221143942 hasConcept C105795698 @default.
- W4221143942 hasConcept C114614502 @default.
- W4221143942 hasConcept C121332964 @default.
- W4221143942 hasConcept C140002607 @default.
- W4221143942 hasConcept C162324750 @default.
- W4221143942 hasConcept C180645754 @default.
- W4221143942 hasConcept C186399060 @default.
- W4221143942 hasConcept C199360897 @default.
- W4221143942 hasConcept C24890656 @default.
- W4221143942 hasConcept C2777027219 @default.
- W4221143942 hasConcept C2777303404 @default.
- W4221143942 hasConcept C2781204021 @default.
- W4221143942 hasConcept C33923547 @default.
- W4221143942 hasConcept C41008148 @default.
- W4221143942 hasConcept C50522688 @default.
- W4221143942 hasConceptScore W4221143942C105795698 @default.
- W4221143942 hasConceptScore W4221143942C114614502 @default.
- W4221143942 hasConceptScore W4221143942C121332964 @default.
- W4221143942 hasConceptScore W4221143942C140002607 @default.
- W4221143942 hasConceptScore W4221143942C162324750 @default.
- W4221143942 hasConceptScore W4221143942C180645754 @default.
- W4221143942 hasConceptScore W4221143942C186399060 @default.
- W4221143942 hasConceptScore W4221143942C199360897 @default.
- W4221143942 hasConceptScore W4221143942C24890656 @default.
- W4221143942 hasConceptScore W4221143942C2777027219 @default.
- W4221143942 hasConceptScore W4221143942C2777303404 @default.
- W4221143942 hasConceptScore W4221143942C2781204021 @default.
- W4221143942 hasConceptScore W4221143942C33923547 @default.
- W4221143942 hasConceptScore W4221143942C41008148 @default.
- W4221143942 hasConceptScore W4221143942C50522688 @default.
- W4221143942 hasLocation W42211439421 @default.
- W4221143942 hasLocation W42211439422 @default.
- W4221143942 hasOpenAccess W4221143942 @default.
- W4221143942 hasPrimaryLocation W42211439421 @default.
- W4221143942 hasRelatedWork W1506216622 @default.
- W4221143942 hasRelatedWork W1978042415 @default.
- W4221143942 hasRelatedWork W1987033902 @default.
- W4221143942 hasRelatedWork W2017331178 @default.
- W4221143942 hasRelatedWork W2025437291 @default.
- W4221143942 hasRelatedWork W2090979013 @default.
- W4221143942 hasRelatedWork W2976797620 @default.
- W4221143942 hasRelatedWork W3086542228 @default.
- W4221143942 hasRelatedWork W3204175910 @default.
- W4221143942 hasRelatedWork W3205652752 @default.
- W4221143942 isParatext "false" @default.
- W4221143942 isRetracted "false" @default.
- W4221143942 workType "article" @default.