Matches in SemOpenAlex for { <https://semopenalex.org/work/W2344234295> ?p ?o ?g. }
Showing items 1 to 70 of
70
with 100 items per page.
- W2344234295 abstract "We consider a dilute version of the Wigner ensemble of n × n random real symmetric matrices H(n, ρ), where ρ denotes the average number of non-zero elements per row. We study the asymptotic properties of the moments M2s(n, ρ) = E Tr(H(n, ρ))2s in the limit when n, s and ρ tend to infinity. Our main result is that the sequence (M_{2s_{n}}^{(n,rho _{n})}) with s n = ⌊χ ρ n ⌋, χ > 0 and ρ n = o(n1∕5) is asymptotically close to a sequence of numbers (nhat{m}_{s_{n}}^{(rho _{n})}), where ({hat{m}_{s}^{(rho )}}_{sgeq 0}) are determined by an explicit recurrence that involves the second and the fourth moments of the random variables (H(n, ρ)) ij , V2 and V4, respectively. This recurrent relation generalizes the one that determines the moments of the Wigner’s semicircle law given by (m_{s} =lim _{rho rightarrow infty }hat{m}_{s}(rho )), (s in mathbb{N}). It shows that the spectral properties of random matrices at the edge of the limiting spectrum in the asymptotic regime of the strong dilution essentially differ from those observed in the case of the weak dilution, where the dependence on the fourth moment V4 does not intervene." @default.
- W2344234295 created "2016-06-24" @default.
- W2344234295 creator A5042717543 @default.
- W2344234295 date "2016-01-01" @default.
- W2344234295 modified "2023-10-04" @default.
- W2344234295 title "On High Moments of Strongly Diluted Large Wigner Random Matrices" @default.
- W2344234295 cites W1857410117 @default.
- W2344234295 cites W1980847186 @default.
- W2344234295 cites W2003134180 @default.
- W2344234295 cites W2034384973 @default.
- W2344234295 cites W2041693037 @default.
- W2344234295 cites W2045275032 @default.
- W2344234295 cites W2065380681 @default.
- W2344234295 cites W2083694956 @default.
- W2344234295 cites W2088164510 @default.
- W2344234295 cites W2142110788 @default.
- W2344234295 cites W2499952289 @default.
- W2344234295 cites W3098671236 @default.
- W2344234295 cites W3100125375 @default.
- W2344234295 cites W3103766153 @default.
- W2344234295 cites W3106436031 @default.
- W2344234295 cites W390146837 @default.
- W2344234295 cites W4243997607 @default.
- W2344234295 cites W4235109464 @default.
- W2344234295 doi "https://doi.org/10.1007/978-3-319-44465-9_13" @default.
- W2344234295 hasPublicationYear "2016" @default.
- W2344234295 type Work @default.
- W2344234295 sameAs 2344234295 @default.
- W2344234295 citedByCount "3" @default.
- W2344234295 countsByYear W23442342952015 @default.
- W2344234295 countsByYear W23442342952016 @default.
- W2344234295 countsByYear W23442342952018 @default.
- W2344234295 crossrefType "book-chapter" @default.
- W2344234295 hasAuthorship W2344234295A5042717543 @default.
- W2344234295 hasBestOaLocation W23442342954 @default.
- W2344234295 hasConcept C121332964 @default.
- W2344234295 hasConcept C121864883 @default.
- W2344234295 hasConcept C158693339 @default.
- W2344234295 hasConcept C202444582 @default.
- W2344234295 hasConcept C33923547 @default.
- W2344234295 hasConcept C62520636 @default.
- W2344234295 hasConcept C64812099 @default.
- W2344234295 hasConceptScore W2344234295C121332964 @default.
- W2344234295 hasConceptScore W2344234295C121864883 @default.
- W2344234295 hasConceptScore W2344234295C158693339 @default.
- W2344234295 hasConceptScore W2344234295C202444582 @default.
- W2344234295 hasConceptScore W2344234295C33923547 @default.
- W2344234295 hasConceptScore W2344234295C62520636 @default.
- W2344234295 hasConceptScore W2344234295C64812099 @default.
- W2344234295 hasLocation W23442342951 @default.
- W2344234295 hasLocation W23442342952 @default.
- W2344234295 hasLocation W23442342953 @default.
- W2344234295 hasLocation W23442342954 @default.
- W2344234295 hasLocation W23442342955 @default.
- W2344234295 hasOpenAccess W2344234295 @default.
- W2344234295 hasPrimaryLocation W23442342951 @default.
- W2344234295 hasRelatedWork W1557945163 @default.
- W2344234295 hasRelatedWork W1912064545 @default.
- W2344234295 hasRelatedWork W1985218657 @default.
- W2344234295 hasRelatedWork W2064847051 @default.
- W2344234295 hasRelatedWork W2096753949 @default.
- W2344234295 hasRelatedWork W2742285599 @default.
- W2344234295 hasRelatedWork W2963341196 @default.
- W2344234295 hasRelatedWork W3099641547 @default.
- W2344234295 hasRelatedWork W3124205579 @default.
- W2344234295 hasRelatedWork W4249580765 @default.
- W2344234295 isParatext "false" @default.
- W2344234295 isRetracted "false" @default.
- W2344234295 magId "2344234295" @default.
- W2344234295 workType "book-chapter" @default.