Matches in SemOpenAlex for { <https://semopenalex.org/work/W2951837194> ?p ?o ?g. }
Showing items 1 to 59 of
59
with 100 items per page.
- W2951837194 abstract "The celebrated Marchenko-Pastur theorem gives the asymptotic spectral distribution of sums of random, independent, rank-one projections. Its main hypothesis is that these projections are more or less uniformly distributed on the first grassmannian, which implies for example that the corresponding vectors are delocalized, i.e. are essentially supported by the whole canonical basis. In this paper, we propose a way to drop this delocalization assumption and we generalize this theorem to a quite general framework, including random projections whose corresponding vectors are localized, i.e. with some components much larger than the other ones. The first of our two main examples is given by heavy tailed random vectors (as in a model introduced by Ben Arous and Guionnet or as in a model introduced by Zakharevich where the moments grow very fast as the dimension grows). Our second main example is given by vectors which are distributed as the Brownian motion on the unit sphere, with localized initial law. Our framework is in fact general enough to get new correspondences between classical infinitely divisible laws and some limit spectral distributions of random matrices, generalizing the so-called Bercovici-Pata bijection." @default.
- W2951837194 created "2019-06-27" @default.
- W2951837194 creator A5009486575 @default.
- W2951837194 creator A5030476008 @default.
- W2951837194 date "2012-01-01" @default.
- W2951837194 modified "2023-09-25" @default.
- W2951837194 title "Marchenko-Pastur Theorem and Bercovici-Pata bijections for heavy-tailed or localized vectors" @default.
- W2951837194 cites W142641082 @default.
- W2951837194 cites W1878962498 @default.
- W2951837194 cites W1973754602 @default.
- W2951837194 cites W1974652316 @default.
- W2951837194 cites W1997165922 @default.
- W2951837194 cites W2016061307 @default.
- W2951837194 cites W2032531794 @default.
- W2951837194 cites W2042711332 @default.
- W2951837194 cites W2060581589 @default.
- W2951837194 cites W2103078728 @default.
- W2951837194 cites W2124492078 @default.
- W2951837194 cites W2803141570 @default.
- W2951837194 cites W2952484016 @default.
- W2951837194 cites W591099569 @default.
- W2951837194 cites W602904462 @default.
- W2951837194 hasPublicationYear "2012" @default.
- W2951837194 type Work @default.
- W2951837194 sameAs 2951837194 @default.
- W2951837194 citedByCount "1" @default.
- W2951837194 countsByYear W29518371942016 @default.
- W2951837194 crossrefType "journal-article" @default.
- W2951837194 hasAuthorship W2951837194A5009486575 @default.
- W2951837194 hasAuthorship W2951837194A5030476008 @default.
- W2951837194 hasBestOaLocation W29518371942 @default.
- W2951837194 hasConcept C114614502 @default.
- W2951837194 hasConcept C24424167 @default.
- W2951837194 hasConcept C33923547 @default.
- W2951837194 hasConcept C48659774 @default.
- W2951837194 hasConceptScore W2951837194C114614502 @default.
- W2951837194 hasConceptScore W2951837194C24424167 @default.
- W2951837194 hasConceptScore W2951837194C33923547 @default.
- W2951837194 hasConceptScore W2951837194C48659774 @default.
- W2951837194 hasLocation W29518371941 @default.
- W2951837194 hasLocation W29518371942 @default.
- W2951837194 hasLocation W29518371943 @default.
- W2951837194 hasLocation W29518371944 @default.
- W2951837194 hasOpenAccess W2951837194 @default.
- W2951837194 hasPrimaryLocation W29518371941 @default.
- W2951837194 hasRelatedWork W1997024121 @default.
- W2951837194 hasRelatedWork W2005649166 @default.
- W2951837194 hasRelatedWork W2018352878 @default.
- W2951837194 hasRelatedWork W2038771844 @default.
- W2951837194 hasRelatedWork W2052788654 @default.
- W2951837194 hasRelatedWork W2157702425 @default.
- W2951837194 hasRelatedWork W2160543109 @default.
- W2951837194 hasRelatedWork W2531534570 @default.
- W2951837194 hasRelatedWork W2962794820 @default.
- W2951837194 hasRelatedWork W2963405049 @default.
- W2951837194 isParatext "false" @default.
- W2951837194 isRetracted "false" @default.
- W2951837194 magId "2951837194" @default.
- W2951837194 workType "article" @default.