Matches in SemOpenAlex for { <https://semopenalex.org/work/W2808601980> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W2808601980 abstract "In cite{FTD1}, we proved the almost sure convergence of eigenvalues of the SYK model, which can be viewed as a type of emph{law of large numbers} in probability theory; in cite{FTD2}, we proved that the linear statistic of eigenvalues satisfies the emph{central limit theorem}. In this article, we continue to study another important theorem in probability theory,-- the emph{concentration of measure theorem}, especially for the Gaussian SYK model. We will prove a emph{large deviation principle} (LDP) for the normalized empirical measure of eigenvalues when $q_n=2$, in which case the eigenvalues can be expressed in term of these of Gaussian random antisymmetric matrices. Such LDP result has its own independent interest in random matrix theory. For general $q_ngeq 3$, we can not prove the LDP, we will prove a concentration of measure theorem by estimating the Lipschitz norm of the Gaussian SYK model." @default.
- W2808601980 created "2018-06-21" @default.
- W2808601980 creator A5024910644 @default.
- W2808601980 creator A5059581347 @default.
- W2808601980 creator A5070044707 @default.
- W2808601980 date "2018-06-12" @default.
- W2808601980 modified "2023-09-24" @default.
- W2808601980 title "Spectrum of SYK model III: Large deviations and concentration of measures" @default.
- W2808601980 cites W2344612405 @default.
- W2808601980 cites W2530074072 @default.
- W2808601980 cites W2587315384 @default.
- W2808601980 cites W2782213698 @default.
- W2808601980 cites W2785601286 @default.
- W2808601980 cites W2808069188 @default.
- W2808601980 cites W653925602 @default.
- W2808601980 doi "https://doi.org/10.48550/arxiv.1806.04701" @default.
- W2808601980 hasPublicationYear "2018" @default.
- W2808601980 type Work @default.
- W2808601980 sameAs 2808601980 @default.
- W2808601980 citedByCount "0" @default.
- W2808601980 crossrefType "posted-content" @default.
- W2808601980 hasAuthorship W2808601980A5024910644 @default.
- W2808601980 hasAuthorship W2808601980A5059581347 @default.
- W2808601980 hasAuthorship W2808601980A5070044707 @default.
- W2808601980 hasBestOaLocation W28086019801 @default.
- W2808601980 hasConcept C105795698 @default.
- W2808601980 hasConcept C114614502 @default.
- W2808601980 hasConcept C118615104 @default.
- W2808601980 hasConcept C121332964 @default.
- W2808601980 hasConcept C158693339 @default.
- W2808601980 hasConcept C163716315 @default.
- W2808601980 hasConcept C166785042 @default.
- W2808601980 hasConcept C185592680 @default.
- W2808601980 hasConcept C2780009758 @default.
- W2808601980 hasConcept C33923547 @default.
- W2808601980 hasConcept C35174551 @default.
- W2808601980 hasConcept C41008148 @default.
- W2808601980 hasConcept C42362537 @default.
- W2808601980 hasConcept C55493867 @default.
- W2808601980 hasConcept C62478195 @default.
- W2808601980 hasConcept C62520636 @default.
- W2808601980 hasConcept C64812099 @default.
- W2808601980 hasConcept C77088390 @default.
- W2808601980 hasConceptScore W2808601980C105795698 @default.
- W2808601980 hasConceptScore W2808601980C114614502 @default.
- W2808601980 hasConceptScore W2808601980C118615104 @default.
- W2808601980 hasConceptScore W2808601980C121332964 @default.
- W2808601980 hasConceptScore W2808601980C158693339 @default.
- W2808601980 hasConceptScore W2808601980C163716315 @default.
- W2808601980 hasConceptScore W2808601980C166785042 @default.
- W2808601980 hasConceptScore W2808601980C185592680 @default.
- W2808601980 hasConceptScore W2808601980C2780009758 @default.
- W2808601980 hasConceptScore W2808601980C33923547 @default.
- W2808601980 hasConceptScore W2808601980C35174551 @default.
- W2808601980 hasConceptScore W2808601980C41008148 @default.
- W2808601980 hasConceptScore W2808601980C42362537 @default.
- W2808601980 hasConceptScore W2808601980C55493867 @default.
- W2808601980 hasConceptScore W2808601980C62478195 @default.
- W2808601980 hasConceptScore W2808601980C62520636 @default.
- W2808601980 hasConceptScore W2808601980C64812099 @default.
- W2808601980 hasConceptScore W2808601980C77088390 @default.
- W2808601980 hasLocation W28086019801 @default.
- W2808601980 hasOpenAccess W2808601980 @default.
- W2808601980 hasPrimaryLocation W28086019801 @default.
- W2808601980 hasRelatedWork W1965415666 @default.
- W2808601980 hasRelatedWork W1970959729 @default.
- W2808601980 hasRelatedWork W2336417996 @default.
- W2808601980 hasRelatedWork W2493002517 @default.
- W2808601980 hasRelatedWork W2785601286 @default.
- W2808601980 hasRelatedWork W2953095964 @default.
- W2808601980 hasRelatedWork W3112563613 @default.
- W2808601980 hasRelatedWork W3157836816 @default.
- W2808601980 hasRelatedWork W3216143841 @default.
- W2808601980 hasRelatedWork W4287996769 @default.
- W2808601980 isParatext "false" @default.
- W2808601980 isRetracted "false" @default.
- W2808601980 magId "2808601980" @default.
- W2808601980 workType "article" @default.