Matches in SemOpenAlex for { <https://semopenalex.org/work/W3118758085> ?p ?o ?g. }
- W3118758085 abstract "We study the eigenvalues of a Laplace–Beltrami operator defined on the set of the symmetric polynomials, where the eigenvalues are expressed in terms of partitions of integers. To study the behaviors of these eigenvalues, we assign partitions with the restricted uniform measure, the restricted Jack measure, the uniform measure, or the Plancherel measure. We first obtain a new limit theorem on the restricted uniform measure. Then, by using it together with known results on other three measures, we prove that the global distribution of the eigenvalues is asymptotically a new distribution $$mu $$ , the Gamma distribution, the Gumbel distribution, and the Tracy–Widom distribution, respectively. The Tracy–Widom distribution is obtained for a special case only due to a technical constraint. An explicit representation of $$mu $$ is obtained by a function of independent random variables. Two open problems are also asked." @default.
- W3118758085 created "2021-01-18" @default.
- W3118758085 creator A5037668726 @default.
- W3118758085 creator A5073656495 @default.
- W3118758085 date "2021-01-01" @default.
- W3118758085 modified "2023-10-14" @default.
- W3118758085 title "Statistical Properties of Eigenvalues of Laplace–Beltrami Operators" @default.
- W3118758085 cites W1550603695 @default.
- W3118758085 cites W1665875856 @default.
- W3118758085 cites W1691157804 @default.
- W3118758085 cites W1843037072 @default.
- W3118758085 cites W1988960617 @default.
- W3118758085 cites W1992096679 @default.
- W3118758085 cites W2007348070 @default.
- W3118758085 cites W2013832448 @default.
- W3118758085 cites W2021469018 @default.
- W3118758085 cites W2024723976 @default.
- W3118758085 cites W2031986285 @default.
- W3118758085 cites W2033130993 @default.
- W3118758085 cites W2060581589 @default.
- W3118758085 cites W2065294359 @default.
- W3118758085 cites W2068920820 @default.
- W3118758085 cites W2070228456 @default.
- W3118758085 cites W2118974146 @default.
- W3118758085 cites W2124818311 @default.
- W3118758085 cites W2152175091 @default.
- W3118758085 cites W2152828142 @default.
- W3118758085 cites W2154367938 @default.
- W3118758085 cites W2158923649 @default.
- W3118758085 cites W2313927544 @default.
- W3118758085 cites W2314376244 @default.
- W3118758085 cites W2328187444 @default.
- W3118758085 cites W2331943644 @default.
- W3118758085 cites W2487122920 @default.
- W3118758085 cites W2963065874 @default.
- W3118758085 cites W3009009955 @default.
- W3118758085 cites W3020882730 @default.
- W3118758085 cites W3021709410 @default.
- W3118758085 cites W4232449688 @default.
- W3118758085 cites W4232839399 @default.
- W3118758085 cites W4298248278 @default.
- W3118758085 cites W4362230038 @default.
- W3118758085 cites W51962763 @default.
- W3118758085 doi "https://doi.org/10.1007/s10959-020-01061-6" @default.
- W3118758085 hasPublicationYear "2021" @default.
- W3118758085 type Work @default.
- W3118758085 sameAs 3118758085 @default.
- W3118758085 citedByCount "0" @default.
- W3118758085 crossrefType "journal-article" @default.
- W3118758085 hasAuthorship W3118758085A5037668726 @default.
- W3118758085 hasAuthorship W3118758085A5073656495 @default.
- W3118758085 hasBestOaLocation W31187580852 @default.
- W3118758085 hasConcept C104317684 @default.
- W3118758085 hasConcept C105795698 @default.
- W3118758085 hasConcept C110121322 @default.
- W3118758085 hasConcept C114614502 @default.
- W3118758085 hasConcept C121332964 @default.
- W3118758085 hasConcept C134306372 @default.
- W3118758085 hasConcept C137610916 @default.
- W3118758085 hasConcept C147581598 @default.
- W3118758085 hasConcept C158448853 @default.
- W3118758085 hasConcept C158693339 @default.
- W3118758085 hasConcept C17020691 @default.
- W3118758085 hasConcept C185592680 @default.
- W3118758085 hasConcept C202444582 @default.
- W3118758085 hasConcept C2780009758 @default.
- W3118758085 hasConcept C33923547 @default.
- W3118758085 hasConcept C41008148 @default.
- W3118758085 hasConcept C55493867 @default.
- W3118758085 hasConcept C62520636 @default.
- W3118758085 hasConcept C77088390 @default.
- W3118758085 hasConcept C86339819 @default.
- W3118758085 hasConcept C97937538 @default.
- W3118758085 hasConceptScore W3118758085C104317684 @default.
- W3118758085 hasConceptScore W3118758085C105795698 @default.
- W3118758085 hasConceptScore W3118758085C110121322 @default.
- W3118758085 hasConceptScore W3118758085C114614502 @default.
- W3118758085 hasConceptScore W3118758085C121332964 @default.
- W3118758085 hasConceptScore W3118758085C134306372 @default.
- W3118758085 hasConceptScore W3118758085C137610916 @default.
- W3118758085 hasConceptScore W3118758085C147581598 @default.
- W3118758085 hasConceptScore W3118758085C158448853 @default.
- W3118758085 hasConceptScore W3118758085C158693339 @default.
- W3118758085 hasConceptScore W3118758085C17020691 @default.
- W3118758085 hasConceptScore W3118758085C185592680 @default.
- W3118758085 hasConceptScore W3118758085C202444582 @default.
- W3118758085 hasConceptScore W3118758085C2780009758 @default.
- W3118758085 hasConceptScore W3118758085C33923547 @default.
- W3118758085 hasConceptScore W3118758085C41008148 @default.
- W3118758085 hasConceptScore W3118758085C55493867 @default.
- W3118758085 hasConceptScore W3118758085C62520636 @default.
- W3118758085 hasConceptScore W3118758085C77088390 @default.
- W3118758085 hasConceptScore W3118758085C86339819 @default.
- W3118758085 hasConceptScore W3118758085C97937538 @default.
- W3118758085 hasFunder F4320332172 @default.
- W3118758085 hasLocation W31187580851 @default.
- W3118758085 hasLocation W31187580852 @default.
- W3118758085 hasLocation W31187580853 @default.
- W3118758085 hasOpenAccess W3118758085 @default.
- W3118758085 hasPrimaryLocation W31187580851 @default.