Matches in SemOpenAlex for { <https://semopenalex.org/work/W2899320910> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W2899320910 abstract "The conformal loop ensemble (CLE) is the canonical conformally invariant probability measure on non-crossing loops in a simply connected domain in $mathbb C$ and is indexed by a parameter $kappa in (8/3,8)$. We consider CLE$_kappa$ on the whole-plane in the regime in which the loops are self-intersecting ($kappa in (4,8)$) and show that it is invariant under the inversion map $z mapsto 1/z$. This shows that whole-plane CLE$_kappa$ for $kappa in (4,8)$ defines a conformally invariant measure on loops on the Riemann sphere. The analogous statement in the regime in which the loops are simple ($kappa in (8/3,4]$) was proven by Kemppainen and Werner and together with the present work covers the entire range $kappa in (8/3,8)$ for which CLE$_kappa$ is defined. As an intermediate step in the proof, we show that CLE$_kappa$ for $kappa in (4,8)$ on an annulus, with any specified number of inner-boundary-surrounding loops, is well-defined and conformally invariant." @default.
- W2899320910 created "2018-11-09" @default.
- W2899320910 creator A5019995974 @default.
- W2899320910 creator A5026216393 @default.
- W2899320910 creator A5035621341 @default.
- W2899320910 date "2018-11-01" @default.
- W2899320910 modified "2023-09-23" @default.
- W2899320910 title "Conformal invariance of CLE$_kappa$ on the Riemann sphere for $kappa in (4,8)$" @default.
- W2899320910 cites W1767750567 @default.
- W2899320910 cites W1944109650 @default.
- W2899320910 cites W2037440254 @default.
- W2899320910 cites W2048825720 @default.
- W2899320910 cites W2050316506 @default.
- W2899320910 cites W2098932612 @default.
- W2899320910 cites W2112136003 @default.
- W2899320910 cites W2140070677 @default.
- W2899320910 cites W2156895775 @default.
- W2899320910 cites W2161511058 @default.
- W2899320910 cites W2216433568 @default.
- W2899320910 cites W2247165791 @default.
- W2899320910 cites W2344522337 @default.
- W2899320910 cites W2478706733 @default.
- W2899320910 cites W2560127013 @default.
- W2899320910 cites W2810821118 @default.
- W2899320910 cites W2962705545 @default.
- W2899320910 cites W2962879804 @default.
- W2899320910 cites W2963149143 @default.
- W2899320910 cites W2963210516 @default.
- W2899320910 cites W2963346680 @default.
- W2899320910 cites W2963602670 @default.
- W2899320910 cites W2963891071 @default.
- W2899320910 cites W2989598783 @default.
- W2899320910 cites W3104090295 @default.
- W2899320910 cites W3104244307 @default.
- W2899320910 cites W2964052128 @default.
- W2899320910 hasPublicationYear "2018" @default.
- W2899320910 type Work @default.
- W2899320910 sameAs 2899320910 @default.
- W2899320910 citedByCount "1" @default.
- W2899320910 countsByYear W28993209102020 @default.
- W2899320910 crossrefType "posted-content" @default.
- W2899320910 hasAuthorship W2899320910A5019995974 @default.
- W2899320910 hasAuthorship W2899320910A5026216393 @default.
- W2899320910 hasAuthorship W2899320910A5035621341 @default.
- W2899320910 hasConcept C114614502 @default.
- W2899320910 hasConcept C121332964 @default.
- W2899320910 hasConcept C134306372 @default.
- W2899320910 hasConcept C154483964 @default.
- W2899320910 hasConcept C18556879 @default.
- W2899320910 hasConcept C190470478 @default.
- W2899320910 hasConcept C202444582 @default.
- W2899320910 hasConcept C2524010 @default.
- W2899320910 hasConcept C2778724333 @default.
- W2899320910 hasConcept C33923547 @default.
- W2899320910 hasConcept C37914503 @default.
- W2899320910 hasConcept C98214594 @default.
- W2899320910 hasConceptScore W2899320910C114614502 @default.
- W2899320910 hasConceptScore W2899320910C121332964 @default.
- W2899320910 hasConceptScore W2899320910C134306372 @default.
- W2899320910 hasConceptScore W2899320910C154483964 @default.
- W2899320910 hasConceptScore W2899320910C18556879 @default.
- W2899320910 hasConceptScore W2899320910C190470478 @default.
- W2899320910 hasConceptScore W2899320910C202444582 @default.
- W2899320910 hasConceptScore W2899320910C2524010 @default.
- W2899320910 hasConceptScore W2899320910C2778724333 @default.
- W2899320910 hasConceptScore W2899320910C33923547 @default.
- W2899320910 hasConceptScore W2899320910C37914503 @default.
- W2899320910 hasConceptScore W2899320910C98214594 @default.
- W2899320910 hasLocation W28993209101 @default.
- W2899320910 hasOpenAccess W2899320910 @default.
- W2899320910 hasPrimaryLocation W28993209101 @default.
- W2899320910 hasRelatedWork W141124078 @default.
- W2899320910 hasRelatedWork W1553393825 @default.
- W2899320910 hasRelatedWork W2013788663 @default.
- W2899320910 hasRelatedWork W2063163509 @default.
- W2899320910 hasRelatedWork W2102558769 @default.
- W2899320910 hasRelatedWork W2127031650 @default.
- W2899320910 hasRelatedWork W2588702696 @default.
- W2899320910 hasRelatedWork W2611044571 @default.
- W2899320910 hasRelatedWork W2740718206 @default.
- W2899320910 hasRelatedWork W2795724626 @default.
- W2899320910 hasRelatedWork W2950651918 @default.
- W2899320910 hasRelatedWork W2952743083 @default.
- W2899320910 hasRelatedWork W2962863491 @default.
- W2899320910 hasRelatedWork W2963728980 @default.
- W2899320910 hasRelatedWork W3037316786 @default.
- W2899320910 hasRelatedWork W3038517928 @default.
- W2899320910 hasRelatedWork W3100686306 @default.
- W2899320910 hasRelatedWork W3101467048 @default.
- W2899320910 hasRelatedWork W3104090295 @default.
- W2899320910 hasRelatedWork W3189137210 @default.
- W2899320910 isParatext "false" @default.
- W2899320910 isRetracted "false" @default.
- W2899320910 magId "2899320910" @default.
- W2899320910 workType "article" @default.