FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2034764620> ?p ?o ?g. }

• W2034764620 abstract "We discuss the scaling limit of large planar quadrangulations with a boundary whose length is of order the square root of the number of faces. We consider a sequence $(sigma_n)$ of integers such that $sigma_n/sqrt{2n}$ tends to some $sigmain[0,infty]$. For every $n ge 1$, we call $q_n$ a random map uniformly distributed over the set of all rooted planar quadrangulations with a boundary having $n$ faces and $2sigma_n$ half-edges on the boundary. For $sigmain (0,infty)$, we view $q_n$ as a metric space by endowing its set of vertices with the graph metric, rescaled by $n^{-1/4}$. We show that this metric space converges in distribution, at least along some subsequence, toward a limiting random metric space, in the sense of the Gromov--Hausdorff topology. We show that the limiting metric space is almost surely a space of Hausdorff dimension 4 with a boundary of Hausdorff dimension 2 that is homeomorphic to the two-dimensional disc. For $sigma=0$, the same convergence holds without extraction and the limit is the so-called Brownian map. For $sigma=infty$, the proper scaling becomes $sigma_n^{-1/2}$ and we obtain a convergence toward Aldous's CRT." @default.
• W2034764620 created "2016-06-24" @default.
• W2034764620 creator A5018351519 @default.
• W2034764620 date "2011-11-30" @default.
• W2034764620 modified "2023-09-27" @default.
• W2034764620 title "Scaling Limit of Random Planar Quadrangulations with a Boundary" @default.
• W2034764620 cites W100657013 @default.
• W2034764620 cites W1579422873 @default.
• W2034764620 cites W1969278740 @default.
• W2034764620 cites W1970197817 @default.
• W2034764620 cites W1980941830 @default.
• W2034764620 cites W1988145974 @default.
• W2034764620 cites W2012632087 @default.
• W2034764620 cites W2017671517 @default.
• W2034764620 cites W2026147416 @default.
• W2034764620 cites W2032246347 @default.
• W2034764620 cites W2060080090 @default.
• W2034764620 cites W2060187822 @default.
• W2034764620 cites W2060873943 @default.
• W2034764620 cites W2063388380 @default.
• W2034764620 cites W2095181329 @default.
• W2034764620 cites W2120464576 @default.
• W2034764620 cites W2168790747 @default.
• W2034764620 cites W2320337808 @default.
• W2034764620 cites W2594588131 @default.
• W2034764620 cites W2802739963 @default.
• W2034764620 cites W2938464578 @default.
• W2034764620 cites W2949441471 @default.
• W2034764620 cites W2951568125 @default.
• W2034764620 cites W2963996485 @default.
• W2034764620 cites W3102922874 @default.
• W2034764620 cites W3104039994 @default.
• W2034764620 cites W654546632 @default.
• W2034764620 cites W818593199 @default.
• W2034764620 cites W9151775 @default.
• W2034764620 hasPublicationYear "2011" @default.
• W2034764620 type Work @default.
• W2034764620 sameAs 2034764620 @default.
• W2034764620 citedByCount "2" @default.
• W2034764620 countsByYear W20347646202012 @default.
• W2034764620 countsByYear W20347646202014 @default.
• W2034764620 crossrefType "posted-content" @default.
• W2034764620 hasAuthorship W2034764620A5018351519 @default.
• W2034764620 hasConcept C105795698 @default.
• W2034764620 hasConcept C112401455 @default.
• W2034764620 hasConcept C114614502 @default.
• W2034764620 hasConcept C118615104 @default.
• W2034764620 hasConcept C121332964 @default.
• W2034764620 hasConcept C134306372 @default.
• W2034764620 hasConcept C137877099 @default.
• W2034764620 hasConcept C141898687 @default.
• W2034764620 hasConcept C151201525 @default.
• W2034764620 hasConcept C18648836 @default.
• W2034764620 hasConcept C194198291 @default.
• W2034764620 hasConcept C198043062 @default.
• W2034764620 hasConcept C24084028 @default.
• W2034764620 hasConcept C2524010 @default.
• W2034764620 hasConcept C2778049214 @default.
• W2034764620 hasConcept C33923547 @default.
• W2034764620 hasConcept C34388435 @default.
• W2034764620 hasConcept C62354387 @default.
• W2034764620 hasConcept C62520636 @default.
• W2034764620 hasConcept C99844830 @default.
• W2034764620 hasConceptScore W2034764620C105795698 @default.
• W2034764620 hasConceptScore W2034764620C112401455 @default.
• W2034764620 hasConceptScore W2034764620C114614502 @default.
• W2034764620 hasConceptScore W2034764620C118615104 @default.
• W2034764620 hasConceptScore W2034764620C121332964 @default.
• W2034764620 hasConceptScore W2034764620C134306372 @default.
• W2034764620 hasConceptScore W2034764620C137877099 @default.
• W2034764620 hasConceptScore W2034764620C141898687 @default.
• W2034764620 hasConceptScore W2034764620C151201525 @default.
• W2034764620 hasConceptScore W2034764620C18648836 @default.
• W2034764620 hasConceptScore W2034764620C194198291 @default.
• W2034764620 hasConceptScore W2034764620C198043062 @default.
• W2034764620 hasConceptScore W2034764620C24084028 @default.
• W2034764620 hasConceptScore W2034764620C2524010 @default.
• W2034764620 hasConceptScore W2034764620C2778049214 @default.
• W2034764620 hasConceptScore W2034764620C33923547 @default.
• W2034764620 hasConceptScore W2034764620C34388435 @default.
• W2034764620 hasConceptScore W2034764620C62354387 @default.
• W2034764620 hasConceptScore W2034764620C62520636 @default.
• W2034764620 hasConceptScore W2034764620C99844830 @default.
• W2034764620 hasLocation W20347646201 @default.
• W2034764620 hasOpenAccess W2034764620 @default.
• W2034764620 hasPrimaryLocation W20347646201 @default.
• W2034764620 hasRelatedWork W1500831531 @default.
• W2034764620 hasRelatedWork W1993404610 @default.
• W2034764620 hasRelatedWork W2020872041 @default.
• W2034764620 hasRelatedWork W2023961513 @default.
• W2034764620 hasRelatedWork W2032023617 @default.
• W2034764620 hasRelatedWork W2032246347 @default.
• W2034764620 hasRelatedWork W2037668782 @default.
• W2034764620 hasRelatedWork W2082947391 @default.
• W2034764620 hasRelatedWork W2132731146 @default.
• W2034764620 hasRelatedWork W2292272462 @default.
• W2034764620 hasRelatedWork W2378528222 @default.
• W2034764620 hasRelatedWork W2602582921 @default.
• W2034764620 hasRelatedWork W2784771313 @default.
• W2034764620 hasRelatedWork W2896537259 @default.

• next