Matches in SemOpenAlex for { <https://semopenalex.org/work/W4287992024> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W4287992024 abstract "We study the rate of convergence of the empirical spectral distribution of products of independent non-Hermitian random matrices to the power of the Circular Law. The distance to the deterministic limit distribution will be measured in terms of a uniform Kolmogorov-like distance. First, we prove that for products of Ginibre matrices, the optimal rate is given by $mathcal O (1/sqrt n)$, which is attained with overwhelming probability up to a logarithmic correction. Avoiding the edge, the rate of convergence of the mean empirical spectral distribution is even faster. Second, we show that also products of matrices with independent entries attain this optimal rate in the bulk up to a logarithmic factor. In the case of Ginibre matrices, we apply a saddlepoint approximation to a double contour integral representation of the density and in the case of matrices with independent entries we make use of techniques from local laws." @default.
- W4287992024 created "2022-07-26" @default.
- W4287992024 creator A5020695263 @default.
- W4287992024 date "2019-12-19" @default.
- W4287992024 modified "2023-09-29" @default.
- W4287992024 title "Rate of convergence for products of independent non-Hermitian random matrices" @default.
- W4287992024 doi "https://doi.org/10.48550/arxiv.1912.09300" @default.
- W4287992024 hasPublicationYear "2019" @default.
- W4287992024 type Work @default.
- W4287992024 citedByCount "0" @default.
- W4287992024 crossrefType "posted-content" @default.
- W4287992024 hasAuthorship W4287992024A5020695263 @default.
- W4287992024 hasBestOaLocation W42879920241 @default.
- W4287992024 hasConcept C105795698 @default.
- W4287992024 hasConcept C110121322 @default.
- W4287992024 hasConcept C114614502 @default.
- W4287992024 hasConcept C119599485 @default.
- W4287992024 hasConcept C121332964 @default.
- W4287992024 hasConcept C122123141 @default.
- W4287992024 hasConcept C127162648 @default.
- W4287992024 hasConcept C127413603 @default.
- W4287992024 hasConcept C134306372 @default.
- W4287992024 hasConcept C158693339 @default.
- W4287992024 hasConcept C15964574 @default.
- W4287992024 hasConcept C162324750 @default.
- W4287992024 hasConcept C182514268 @default.
- W4287992024 hasConcept C202444582 @default.
- W4287992024 hasConcept C2777303404 @default.
- W4287992024 hasConcept C28826006 @default.
- W4287992024 hasConcept C33923547 @default.
- W4287992024 hasConcept C39927690 @default.
- W4287992024 hasConcept C50522688 @default.
- W4287992024 hasConcept C57869625 @default.
- W4287992024 hasConcept C62520636 @default.
- W4287992024 hasConcept C64812099 @default.
- W4287992024 hasConcept C75438885 @default.
- W4287992024 hasConcept C94360122 @default.
- W4287992024 hasConcept C94940 @default.
- W4287992024 hasConcept C95707001 @default.
- W4287992024 hasConcept C95763700 @default.
- W4287992024 hasConcept C98385598 @default.
- W4287992024 hasConceptScore W4287992024C105795698 @default.
- W4287992024 hasConceptScore W4287992024C110121322 @default.
- W4287992024 hasConceptScore W4287992024C114614502 @default.
- W4287992024 hasConceptScore W4287992024C119599485 @default.
- W4287992024 hasConceptScore W4287992024C121332964 @default.
- W4287992024 hasConceptScore W4287992024C122123141 @default.
- W4287992024 hasConceptScore W4287992024C127162648 @default.
- W4287992024 hasConceptScore W4287992024C127413603 @default.
- W4287992024 hasConceptScore W4287992024C134306372 @default.
- W4287992024 hasConceptScore W4287992024C158693339 @default.
- W4287992024 hasConceptScore W4287992024C15964574 @default.
- W4287992024 hasConceptScore W4287992024C162324750 @default.
- W4287992024 hasConceptScore W4287992024C182514268 @default.
- W4287992024 hasConceptScore W4287992024C202444582 @default.
- W4287992024 hasConceptScore W4287992024C2777303404 @default.
- W4287992024 hasConceptScore W4287992024C28826006 @default.
- W4287992024 hasConceptScore W4287992024C33923547 @default.
- W4287992024 hasConceptScore W4287992024C39927690 @default.
- W4287992024 hasConceptScore W4287992024C50522688 @default.
- W4287992024 hasConceptScore W4287992024C57869625 @default.
- W4287992024 hasConceptScore W4287992024C62520636 @default.
- W4287992024 hasConceptScore W4287992024C64812099 @default.
- W4287992024 hasConceptScore W4287992024C75438885 @default.
- W4287992024 hasConceptScore W4287992024C94360122 @default.
- W4287992024 hasConceptScore W4287992024C94940 @default.
- W4287992024 hasConceptScore W4287992024C95707001 @default.
- W4287992024 hasConceptScore W4287992024C95763700 @default.
- W4287992024 hasConceptScore W4287992024C98385598 @default.
- W4287992024 hasLocation W42879920241 @default.
- W4287992024 hasOpenAccess W4287992024 @default.
- W4287992024 hasPrimaryLocation W42879920241 @default.
- W4287992024 hasRelatedWork W1969097180 @default.
- W4287992024 hasRelatedWork W2023399090 @default.
- W4287992024 hasRelatedWork W2129236129 @default.
- W4287992024 hasRelatedWork W2810552989 @default.
- W4287992024 hasRelatedWork W2972939003 @default.
- W4287992024 hasRelatedWork W2995081847 @default.
- W4287992024 hasRelatedWork W3159243922 @default.
- W4287992024 hasRelatedWork W3209383151 @default.
- W4287992024 hasRelatedWork W4287992024 @default.
- W4287992024 hasRelatedWork W2182427312 @default.
- W4287992024 isParatext "false" @default.
- W4287992024 isRetracted "false" @default.
- W4287992024 workType "article" @default.