FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1798492768> ?p ?o ?g. }

• W1798492768 endingPage "569" @default.
• W1798492768 startingPage "501" @default.
• W1798492768 abstract "We study systems of $n$ points in the Euclidean space of dimension $dgeqslant 1$ interacting via a Riesz kernel $|x|^{-s}$ and confined by an external potential, in the regime where $d-2leqslant s<d$ . We also treat the case of logarithmic interactions in dimensions 1 and 2. Our study includes and retrieves all cases previously studied in Sandier and Serfaty [2D Coulomb gases and the renormalized energy, Ann. Probab. (to appear); 1D log gases and the renormalized energy: crystallization at vanishing temperature (2013)] and Rougerie and Serfaty [Higher dimensional Coulomb gases and renormalized energy functionals, Comm. Pure Appl. Math. (to appear)]. Our approach is based on the Caffarelli–Silvestre extension formula, which allows one to view the Riesz kernel as the kernel of an (inhomogeneous) local operator in the extended space $mathbb{R}^{d+1}$ . As $nrightarrow infty$ , we exhibit a next to leading order term in $n^{1+s/d}$ in the asymptotic expansion of the total energy of the system, where the constant term in factor of $n^{1+s/d}$ depends on the microscopic arrangement of the points and is expressed in terms of a ‘renormalized energy’. This new object is expected to penalize the disorder of an infinite set of points in whole space, and to be minimized by Bravais lattice (or crystalline) configurations. We give applications to the statistical mechanics in the case where temperature is added to the system, and identify an expected ‘crystallization regime’. We also obtain a result of separation of the points for minimizers of the energy." @default.
• W1798492768 created "2016-06-24" @default.
• W1798492768 creator A5064793780 @default.
• W1798492768 creator A5087663422 @default.
• W1798492768 date "2015-05-29" @default.
• W1798492768 modified "2023-09-27" @default.
• W1798492768 title "NEXT ORDER ASYMPTOTICS AND RENORMALIZED ENERGY FOR RIESZ INTERACTIONS" @default.
• W1798492768 cites W1499787021 @default.
• W1798492768 cites W1516400093 @default.
• W1798492768 cites W1522699118 @default.
• W1798492768 cites W1525000343 @default.
• W1798492768 cites W1545152206 @default.
• W1798492768 cites W1738603105 @default.
• W1798492768 cites W1976235186 @default.
• W1798492768 cites W1992467530 @default.
• W1798492768 cites W1998847779 @default.
• W1798492768 cites W2001504669 @default.
• W1798492768 cites W2009117007 @default.
• W1798492768 cites W2018529115 @default.
• W1798492768 cites W2023085269 @default.
• W1798492768 cites W2025658979 @default.
• W1798492768 cites W2027807138 @default.
• W1798492768 cites W2028782076 @default.
• W1798492768 cites W2029545793 @default.
• W1798492768 cites W2033500205 @default.
• W1798492768 cites W2048130711 @default.
• W1798492768 cites W2056007801 @default.
• W1798492768 cites W2060940584 @default.
• W1798492768 cites W2084196626 @default.
• W1798492768 cites W2094075998 @default.
• W1798492768 cites W2094107582 @default.
• W1798492768 cites W2100955645 @default.
• W1798492768 cites W2127569415 @default.
• W1798492768 cites W2130440873 @default.
• W1798492768 cites W2136295887 @default.
• W1798492768 cites W2168741104 @default.
• W1798492768 cites W2169626414 @default.
• W1798492768 cites W2964314435 @default.
• W1798492768 cites W3098439608 @default.
• W1798492768 cites W3102241642 @default.
• W1798492768 cites W3103229763 @default.
• W1798492768 cites W3103274847 @default.
• W1798492768 cites W3104302389 @default.
• W1798492768 cites W3159354179 @default.
• W1798492768 doi "https://doi.org/10.1017/s1474748015000201" @default.
• W1798492768 hasPublicationYear "2015" @default.
• W1798492768 type Work @default.
• W1798492768 sameAs 1798492768 @default.
• W1798492768 citedByCount "44" @default.
• W1798492768 countsByYear W17984927682015 @default.
• W1798492768 countsByYear W17984927682016 @default.
• W1798492768 countsByYear W17984927682017 @default.
• W1798492768 countsByYear W17984927682018 @default.
• W1798492768 countsByYear W17984927682019 @default.
• W1798492768 countsByYear W17984927682020 @default.
• W1798492768 countsByYear W17984927682021 @default.
• W1798492768 countsByYear W17984927682022 @default.
• W1798492768 countsByYear W17984927682023 @default.
• W1798492768 crossrefType "journal-article" @default.
• W1798492768 hasAuthorship W1798492768A5064793780 @default.
• W1798492768 hasAuthorship W1798492768A5087663422 @default.
• W1798492768 hasBestOaLocation W17984927681 @default.
• W1798492768 hasConcept C10138342 @default.
• W1798492768 hasConcept C104317684 @default.
• W1798492768 hasConcept C105795698 @default.
• W1798492768 hasConcept C114614502 @default.
• W1798492768 hasConcept C115624301 @default.
• W1798492768 hasConcept C121332964 @default.
• W1798492768 hasConcept C134306372 @default.
• W1798492768 hasConcept C138885662 @default.
• W1798492768 hasConcept C147120987 @default.
• W1798492768 hasConcept C158448853 @default.
• W1798492768 hasConcept C162324750 @default.
• W1798492768 hasConcept C17020691 @default.
• W1798492768 hasConcept C182306322 @default.
• W1798492768 hasConcept C185592680 @default.
• W1798492768 hasConcept C186370098 @default.
• W1798492768 hasConcept C186450821 @default.
• W1798492768 hasConcept C202444582 @default.
• W1798492768 hasConcept C203833618 @default.
• W1798492768 hasConcept C24890656 @default.
• W1798492768 hasConcept C2778572836 @default.
• W1798492768 hasConcept C2781204021 @default.
• W1798492768 hasConcept C33676613 @default.
• W1798492768 hasConcept C33923547 @default.
• W1798492768 hasConcept C37914503 @default.
• W1798492768 hasConcept C39927690 @default.
• W1798492768 hasConcept C41895202 @default.
• W1798492768 hasConcept C55493867 @default.
• W1798492768 hasConcept C62520636 @default.
• W1798492768 hasConcept C74193536 @default.
• W1798492768 hasConcept C8010536 @default.
• W1798492768 hasConcept C86339819 @default.
• W1798492768 hasConcept C9342510 @default.
• W1798492768 hasConceptScore W1798492768C10138342 @default.
• W1798492768 hasConceptScore W1798492768C104317684 @default.
• W1798492768 hasConceptScore W1798492768C105795698 @default.
• W1798492768 hasConceptScore W1798492768C114614502 @default.

• next