Matches in SemOpenAlex for { <https://semopenalex.org/work/W2773607325> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W2773607325 endingPage "670" @default.
- W2773607325 startingPage "639" @default.
- W2773607325 abstract "In this paper, we address a class of problems in unitary ensembles. Specifically, we study the probability that a gap symmetric about 0, i.e. $(-a,a)$ is found in the Gaussian unitary ensembles (GUE) and the Jacobi unitary ensembles (JUE) (where in the JUE, we take the parameters $alpha=beta$). By exploiting the even parity of the weight, a doubling of the interval to $(a^2,infty)$ for the GUE, and $(a^2,1)$, for the (symmetric) JUE, shows that the gap probabilities maybe determined as the product of the smallest eigenvalue distributions of the LUE with parameter $alpha=-1/2,$ and $alpha=1/2$ and the (shifted) JUE with weights $x^{1/2}(1-x)^{beta}$ and $x^{-1/2}(1-x)^{beta}$ The $sigma$ function, namely, the derivative of the log of the smallest eigenvalue distributions of the finite-$n$ LUE or the JUE, satisfies the Jimbo-Miwa-Okamoto $sigma$ form of $P_{V}$ and $P_{VI}$, although in the shift Jacobi case, with the weight $x^{alpha}(1-x)^{beta},$ the $beta$ parameter does not show up in the equation. We also obtain the asymptotic expansions for the smallest eigenvalue distributions of the Laguerre unitary and Jacobi unitary ensembles after appropriate double scalings, and obtained the constants in the asymptotic expansion of the gap probablities, expressed in term of the Barnes $G-$ function valuated at special point." @default.
- W2773607325 created "2017-12-22" @default.
- W2773607325 creator A5015323490 @default.
- W2773607325 creator A5031875489 @default.
- W2773607325 creator A5033549268 @default.
- W2773607325 date "2018-01-01" @default.
- W2773607325 modified "2023-10-18" @default.
- W2773607325 title "Asymptotic gap probability distributions of the Gaussian unitary ensembles and Jacobi unitary ensembles" @default.
- W2773607325 cites W1726767224 @default.
- W2773607325 cites W1967768695 @default.
- W2773607325 cites W1976535866 @default.
- W2773607325 cites W2004481291 @default.
- W2773607325 cites W2013551140 @default.
- W2773607325 cites W2028646479 @default.
- W2773607325 cites W2031447749 @default.
- W2773607325 cites W2042859738 @default.
- W2773607325 cites W2044405326 @default.
- W2773607325 cites W2049587182 @default.
- W2773607325 cites W2074393379 @default.
- W2773607325 cites W2121029013 @default.
- W2773607325 cites W2132693726 @default.
- W2773607325 cites W2139797797 @default.
- W2773607325 cites W2161852448 @default.
- W2773607325 cites W2208490835 @default.
- W2773607325 cites W2768484945 @default.
- W2773607325 cites W2962678341 @default.
- W2773607325 cites W2964073092 @default.
- W2773607325 cites W3099602325 @default.
- W2773607325 cites W3101125416 @default.
- W2773607325 cites W3124757344 @default.
- W2773607325 cites W3125254602 @default.
- W2773607325 cites W4238359406 @default.
- W2773607325 cites W4239392312 @default.
- W2773607325 doi "https://doi.org/10.1016/j.nuclphysb.2017.11.018" @default.
- W2773607325 hasPublicationYear "2018" @default.
- W2773607325 type Work @default.
- W2773607325 sameAs 2773607325 @default.
- W2773607325 citedByCount "17" @default.
- W2773607325 countsByYear W27736073252018 @default.
- W2773607325 countsByYear W27736073252019 @default.
- W2773607325 countsByYear W27736073252020 @default.
- W2773607325 countsByYear W27736073252021 @default.
- W2773607325 countsByYear W27736073252022 @default.
- W2773607325 countsByYear W27736073252023 @default.
- W2773607325 crossrefType "journal-article" @default.
- W2773607325 hasAuthorship W2773607325A5015323490 @default.
- W2773607325 hasAuthorship W2773607325A5031875489 @default.
- W2773607325 hasAuthorship W2773607325A5033549268 @default.
- W2773607325 hasBestOaLocation W27736073251 @default.
- W2773607325 hasConcept C108408018 @default.
- W2773607325 hasConcept C114614502 @default.
- W2773607325 hasConcept C121332964 @default.
- W2773607325 hasConcept C134306372 @default.
- W2773607325 hasConcept C158693339 @default.
- W2773607325 hasConcept C163716315 @default.
- W2773607325 hasConcept C17744445 @default.
- W2773607325 hasConcept C199539241 @default.
- W2773607325 hasConcept C2778049214 @default.
- W2773607325 hasConcept C33923547 @default.
- W2773607325 hasConcept C37914503 @default.
- W2773607325 hasConcept C62520636 @default.
- W2773607325 hasConcept C67820243 @default.
- W2773607325 hasConceptScore W2773607325C108408018 @default.
- W2773607325 hasConceptScore W2773607325C114614502 @default.
- W2773607325 hasConceptScore W2773607325C121332964 @default.
- W2773607325 hasConceptScore W2773607325C134306372 @default.
- W2773607325 hasConceptScore W2773607325C158693339 @default.
- W2773607325 hasConceptScore W2773607325C163716315 @default.
- W2773607325 hasConceptScore W2773607325C17744445 @default.
- W2773607325 hasConceptScore W2773607325C199539241 @default.
- W2773607325 hasConceptScore W2773607325C2778049214 @default.
- W2773607325 hasConceptScore W2773607325C33923547 @default.
- W2773607325 hasConceptScore W2773607325C37914503 @default.
- W2773607325 hasConceptScore W2773607325C62520636 @default.
- W2773607325 hasConceptScore W2773607325C67820243 @default.
- W2773607325 hasFunder F4320321001 @default.
- W2773607325 hasFunder F4320322841 @default.
- W2773607325 hasFunder F4320323893 @default.
- W2773607325 hasLocation W27736073251 @default.
- W2773607325 hasLocation W27736073252 @default.
- W2773607325 hasLocation W27736073253 @default.
- W2773607325 hasOpenAccess W2773607325 @default.
- W2773607325 hasPrimaryLocation W27736073251 @default.
- W2773607325 hasRelatedWork W1515881615 @default.
- W2773607325 hasRelatedWork W2038558186 @default.
- W2773607325 hasRelatedWork W2544886596 @default.
- W2773607325 hasRelatedWork W2913358463 @default.
- W2773607325 hasRelatedWork W2949793637 @default.
- W2773607325 hasRelatedWork W2953123469 @default.
- W2773607325 hasRelatedWork W3036693224 @default.
- W2773607325 hasRelatedWork W3146405243 @default.
- W2773607325 hasRelatedWork W3150993733 @default.
- W2773607325 hasRelatedWork W4300143776 @default.
- W2773607325 hasVolume "926" @default.
- W2773607325 isParatext "false" @default.
- W2773607325 isRetracted "false" @default.
- W2773607325 magId "2773607325" @default.
- W2773607325 workType "article" @default.