Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313306044> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W4313306044 abstract "We compute the equilibrium measure in dimension $$d=s+4$$ associated to a Riesz s-kernel interaction with an external field given by a power of the Euclidean norm. Our study reveals that the equilibrium measure can be a mixture of a continuous part and a singular part. Depending on the value of the power, a threshold phenomenon occurs and consists of a dimension reduction or condensation on the singular part. In particular, in the logarithmic case $$s=0$$ ( $$d=4$$ ), there is condensation on a sphere of special radius when the power of the external field becomes quadratic. This contrasts with the case $$d=s+3$$ studied previously, which showed that the equilibrium measure is fully dimensional and supported on a ball. Our approach makes use, among other tools, of the Frostman or Euler–Lagrange variational characterization, the Funk–Hecke formula, the Gegenbauer orthogonal polynomials, and hypergeometric special functions." @default.
- W4313306044 created "2023-01-06" @default.
- W4313306044 creator A5015541993 @default.
- W4313306044 creator A5045775858 @default.
- W4313306044 creator A5049066971 @default.
- W4313306044 date "2023-01-30" @default.
- W4313306044 modified "2023-10-12" @default.
- W4313306044 title "Threshold condensation to singular support for a Riesz equilibrium problem" @default.
- W4313306044 cites W1522699118 @default.
- W4313306044 cites W1972194652 @default.
- W4313306044 cites W2000359198 @default.
- W4313306044 cites W2001504669 @default.
- W4313306044 cites W2017899631 @default.
- W4313306044 cites W2018529115 @default.
- W4313306044 cites W2019045267 @default.
- W4313306044 cites W2035608633 @default.
- W4313306044 cites W2046130896 @default.
- W4313306044 cites W2092989792 @default.
- W4313306044 cites W2227216825 @default.
- W4313306044 cites W2988614387 @default.
- W4313306044 cites W3097718334 @default.
- W4313306044 cites W3100014801 @default.
- W4313306044 cites W3102426353 @default.
- W4313306044 cites W3137106085 @default.
- W4313306044 cites W3190168206 @default.
- W4313306044 cites W3196563266 @default.
- W4313306044 cites W4229966027 @default.
- W4313306044 cites W4240240566 @default.
- W4313306044 cites W4242849907 @default.
- W4313306044 doi "https://doi.org/10.1007/s13324-023-00779-w" @default.
- W4313306044 hasPublicationYear "2023" @default.
- W4313306044 type Work @default.
- W4313306044 citedByCount "6" @default.
- W4313306044 countsByYear W43133060442023 @default.
- W4313306044 crossrefType "journal-article" @default.
- W4313306044 hasAuthorship W4313306044A5015541993 @default.
- W4313306044 hasAuthorship W4313306044A5045775858 @default.
- W4313306044 hasAuthorship W4313306044A5049066971 @default.
- W4313306044 hasBestOaLocation W43133060443 @default.
- W4313306044 hasConcept C134306372 @default.
- W4313306044 hasConcept C191948623 @default.
- W4313306044 hasConcept C202444582 @default.
- W4313306044 hasConcept C2780009758 @default.
- W4313306044 hasConcept C33923547 @default.
- W4313306044 hasConcept C41008148 @default.
- W4313306044 hasConcept C77088390 @default.
- W4313306044 hasConceptScore W4313306044C134306372 @default.
- W4313306044 hasConceptScore W4313306044C191948623 @default.
- W4313306044 hasConceptScore W4313306044C202444582 @default.
- W4313306044 hasConceptScore W4313306044C2780009758 @default.
- W4313306044 hasConceptScore W4313306044C33923547 @default.
- W4313306044 hasConceptScore W4313306044C41008148 @default.
- W4313306044 hasConceptScore W4313306044C77088390 @default.
- W4313306044 hasIssue "1" @default.
- W4313306044 hasLocation W43133060441 @default.
- W4313306044 hasLocation W43133060442 @default.
- W4313306044 hasLocation W43133060443 @default.
- W4313306044 hasLocation W43133060444 @default.
- W4313306044 hasLocation W43133060445 @default.
- W4313306044 hasOpenAccess W4313306044 @default.
- W4313306044 hasPrimaryLocation W43133060441 @default.
- W4313306044 hasRelatedWork W1482902903 @default.
- W4313306044 hasRelatedWork W1516195074 @default.
- W4313306044 hasRelatedWork W1557945163 @default.
- W4313306044 hasRelatedWork W1982572960 @default.
- W4313306044 hasRelatedWork W1985218657 @default.
- W4313306044 hasRelatedWork W2094622271 @default.
- W4313306044 hasRelatedWork W2096753949 @default.
- W4313306044 hasRelatedWork W2333062296 @default.
- W4313306044 hasRelatedWork W2368536301 @default.
- W4313306044 hasRelatedWork W4249580765 @default.
- W4313306044 hasVolume "13" @default.
- W4313306044 isParatext "false" @default.
- W4313306044 isRetracted "false" @default.
- W4313306044 workType "article" @default.