Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100554026> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W3100554026 endingPage "9184" @default.
- W3100554026 startingPage "9169" @default.
- W3100554026 abstract "This paper studies the Hankel determinant generated by a perturbed Jacobi weight, which is closely related to the largest and smallest eigenvalue distribution of the degenerate Jacobi unitary ensemble. By using the ladder operator approach for the orthogonal polynomials, we find that the logarithmic derivative of the Hankel determinant satisfies a nonlinear second-order differential equation, which turns out to be the Jimbo-Miwa-Okamoto $sigma$-form of the Painlev'{e} VI equation by a translation transformation. We also show that, after a suitable double scaling, the differential equation is reduced to the Jimbo-Miwa-Okamoto $sigma$-form of the Painlev'{e} III. In the end, we obtain the asymptotic behavior of the Hankel determinant as $trightarrow1^{-}$ and $trightarrow0^{+}$ in two important cases, respectively." @default.
- W3100554026 created "2020-11-23" @default.
- W3100554026 creator A5012353096 @default.
- W3100554026 creator A5014485232 @default.
- W3100554026 date "2020-07-01" @default.
- W3100554026 modified "2023-09-25" @default.
- W3100554026 title "Painlevé VI, Painlevé III, and the Hankel determinant associated with a degenerate Jacobi unitary ensemble" @default.
- W3100554026 cites W1634699958 @default.
- W3100554026 cites W1966696508 @default.
- W3100554026 cites W2012238557 @default.
- W3100554026 cites W2062878146 @default.
- W3100554026 cites W2074393379 @default.
- W3100554026 cites W2091470872 @default.
- W3100554026 cites W2092214492 @default.
- W3100554026 cites W2106977058 @default.
- W3100554026 cites W2119471895 @default.
- W3100554026 cites W2121029013 @default.
- W3100554026 cites W2161852448 @default.
- W3100554026 cites W2501592988 @default.
- W3100554026 cites W2768484945 @default.
- W3100554026 cites W2963101742 @default.
- W3100554026 cites W2964073092 @default.
- W3100554026 cites W3100510722 @default.
- W3100554026 cites W3101125416 @default.
- W3100554026 cites W3101649701 @default.
- W3100554026 cites W3102408703 @default.
- W3100554026 cites W3104512455 @default.
- W3100554026 cites W3104721010 @default.
- W3100554026 cites W359247443 @default.
- W3100554026 cites W845931339 @default.
- W3100554026 doi "https://doi.org/10.1002/mma.6609" @default.
- W3100554026 hasPublicationYear "2020" @default.
- W3100554026 type Work @default.
- W3100554026 sameAs 3100554026 @default.
- W3100554026 citedByCount "2" @default.
- W3100554026 countsByYear W31005540262021 @default.
- W3100554026 crossrefType "journal-article" @default.
- W3100554026 hasAuthorship W3100554026A5012353096 @default.
- W3100554026 hasAuthorship W3100554026A5014485232 @default.
- W3100554026 hasBestOaLocation W31005540262 @default.
- W3100554026 hasConcept C10628310 @default.
- W3100554026 hasConcept C121332964 @default.
- W3100554026 hasConcept C134306372 @default.
- W3100554026 hasConcept C158693339 @default.
- W3100554026 hasConcept C202444582 @default.
- W3100554026 hasConcept C33923547 @default.
- W3100554026 hasConcept C36649600 @default.
- W3100554026 hasConcept C37914503 @default.
- W3100554026 hasConcept C48490523 @default.
- W3100554026 hasConcept C62520636 @default.
- W3100554026 hasConcept C633612 @default.
- W3100554026 hasConcept C70915906 @default.
- W3100554026 hasConcept C72319582 @default.
- W3100554026 hasConceptScore W3100554026C10628310 @default.
- W3100554026 hasConceptScore W3100554026C121332964 @default.
- W3100554026 hasConceptScore W3100554026C134306372 @default.
- W3100554026 hasConceptScore W3100554026C158693339 @default.
- W3100554026 hasConceptScore W3100554026C202444582 @default.
- W3100554026 hasConceptScore W3100554026C33923547 @default.
- W3100554026 hasConceptScore W3100554026C36649600 @default.
- W3100554026 hasConceptScore W3100554026C37914503 @default.
- W3100554026 hasConceptScore W3100554026C48490523 @default.
- W3100554026 hasConceptScore W3100554026C62520636 @default.
- W3100554026 hasConceptScore W3100554026C633612 @default.
- W3100554026 hasConceptScore W3100554026C70915906 @default.
- W3100554026 hasConceptScore W3100554026C72319582 @default.
- W3100554026 hasFunder F4320322841 @default.
- W3100554026 hasIssue "15" @default.
- W3100554026 hasLocation W31005540261 @default.
- W3100554026 hasLocation W31005540262 @default.
- W3100554026 hasOpenAccess W3100554026 @default.
- W3100554026 hasPrimaryLocation W31005540261 @default.
- W3100554026 hasRelatedWork W1555726014 @default.
- W3100554026 hasRelatedWork W1808994870 @default.
- W3100554026 hasRelatedWork W2060439741 @default.
- W3100554026 hasRelatedWork W2493559554 @default.
- W3100554026 hasRelatedWork W2949822057 @default.
- W3100554026 hasRelatedWork W3151488833 @default.
- W3100554026 hasRelatedWork W3201922371 @default.
- W3100554026 hasRelatedWork W4280556009 @default.
- W3100554026 hasRelatedWork W4287241472 @default.
- W3100554026 hasRelatedWork W4298296279 @default.
- W3100554026 hasVolume "43" @default.
- W3100554026 isParatext "false" @default.
- W3100554026 isRetracted "false" @default.
- W3100554026 magId "3100554026" @default.
- W3100554026 workType "article" @default.