Matches in SemOpenAlex for { <https://semopenalex.org/work/W3103407528> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W3103407528 endingPage "91" @default.
- W3103407528 startingPage "77" @default.
- W3103407528 abstract "Consider a random simplex in a d-dimensional convex body which is the convex hull of d+1 random points from the body. We study the following question: as a function of the convex body, is the expected volume of such a random simplex monotone non-decreasing under inclusion? We show that this is true when d is 1 or 2, but does not hold for d≥4. We also prove similar results for higher moments of the volume of a random simplex, in particular for the second moment, which corresponds to the determinant of the covariance matrix of the convex body. These questions are motivated by the slicing conjecture." @default.
- W3103407528 created "2020-11-23" @default.
- W3103407528 creator A5090342129 @default.
- W3103407528 date "2011-06-20" @default.
- W3103407528 modified "2023-10-01" @default.
- W3103407528 title "ON THE MONOTONICITY OF THE EXPECTED VOLUME OF A RANDOM SIMPLEX" @default.
- W3103407528 cites W1487151840 @default.
- W3103407528 cites W1521305480 @default.
- W3103407528 cites W1539609250 @default.
- W3103407528 cites W2036739919 @default.
- W3103407528 cites W2049731483 @default.
- W3103407528 cites W2049947556 @default.
- W3103407528 cites W2071717580 @default.
- W3103407528 cites W2087867172 @default.
- W3103407528 cites W2089669379 @default.
- W3103407528 cites W2314241212 @default.
- W3103407528 cites W2315812153 @default.
- W3103407528 cites W2332658360 @default.
- W3103407528 cites W4235612371 @default.
- W3103407528 cites W4253948983 @default.
- W3103407528 cites W565214016 @default.
- W3103407528 doi "https://doi.org/10.1112/s0025579311002063" @default.
- W3103407528 hasPublicationYear "2011" @default.
- W3103407528 type Work @default.
- W3103407528 sameAs 3103407528 @default.
- W3103407528 citedByCount "14" @default.
- W3103407528 countsByYear W31034075282012 @default.
- W3103407528 countsByYear W31034075282013 @default.
- W3103407528 countsByYear W31034075282014 @default.
- W3103407528 countsByYear W31034075282015 @default.
- W3103407528 countsByYear W31034075282016 @default.
- W3103407528 countsByYear W31034075282017 @default.
- W3103407528 countsByYear W31034075282023 @default.
- W3103407528 crossrefType "journal-article" @default.
- W3103407528 hasAuthorship W3103407528A5090342129 @default.
- W3103407528 hasBestOaLocation W31034075282 @default.
- W3103407528 hasConcept C112680207 @default.
- W3103407528 hasConcept C114614502 @default.
- W3103407528 hasConcept C121332964 @default.
- W3103407528 hasConcept C134306372 @default.
- W3103407528 hasConcept C134912446 @default.
- W3103407528 hasConcept C179254644 @default.
- W3103407528 hasConcept C206194317 @default.
- W3103407528 hasConcept C2524010 @default.
- W3103407528 hasConcept C2780990831 @default.
- W3103407528 hasConcept C2834757 @default.
- W3103407528 hasConcept C33923547 @default.
- W3103407528 hasConcept C62438384 @default.
- W3103407528 hasConcept C72169020 @default.
- W3103407528 hasConcept C74650414 @default.
- W3103407528 hasConceptScore W3103407528C112680207 @default.
- W3103407528 hasConceptScore W3103407528C114614502 @default.
- W3103407528 hasConceptScore W3103407528C121332964 @default.
- W3103407528 hasConceptScore W3103407528C134306372 @default.
- W3103407528 hasConceptScore W3103407528C134912446 @default.
- W3103407528 hasConceptScore W3103407528C179254644 @default.
- W3103407528 hasConceptScore W3103407528C206194317 @default.
- W3103407528 hasConceptScore W3103407528C2524010 @default.
- W3103407528 hasConceptScore W3103407528C2780990831 @default.
- W3103407528 hasConceptScore W3103407528C2834757 @default.
- W3103407528 hasConceptScore W3103407528C33923547 @default.
- W3103407528 hasConceptScore W3103407528C62438384 @default.
- W3103407528 hasConceptScore W3103407528C72169020 @default.
- W3103407528 hasConceptScore W3103407528C74650414 @default.
- W3103407528 hasIssue "1" @default.
- W3103407528 hasLocation W31034075281 @default.
- W3103407528 hasLocation W31034075282 @default.
- W3103407528 hasOpenAccess W3103407528 @default.
- W3103407528 hasPrimaryLocation W31034075281 @default.
- W3103407528 hasRelatedWork W2008646062 @default.
- W3103407528 hasRelatedWork W2052179662 @default.
- W3103407528 hasRelatedWork W2085746688 @default.
- W3103407528 hasRelatedWork W2111427182 @default.
- W3103407528 hasRelatedWork W2949626758 @default.
- W3103407528 hasRelatedWork W3029639050 @default.
- W3103407528 hasRelatedWork W3045508281 @default.
- W3103407528 hasRelatedWork W4287864192 @default.
- W3103407528 hasRelatedWork W4302311153 @default.
- W3103407528 hasRelatedWork W4302382617 @default.
- W3103407528 hasVolume "58" @default.
- W3103407528 isParatext "false" @default.
- W3103407528 isRetracted "false" @default.
- W3103407528 magId "3103407528" @default.
- W3103407528 workType "article" @default.