FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2001504669> ?p ?o ?g. }

• W2001504669 abstract "We study a physical system of $N$ interacting particles in $mathbb{R}^d$, $dgeq1$, subject to pair repulsion and confined by an external field. We establish a large deviations principle for their empirical distribution as $N$ tends to infinity. In the case of Riesz interaction, including Coulomb interaction in arbitrary dimension $d>2$, the rate function is strictly convex and admits a unique minimum, the equilibrium measure, characterized via its potential. It follows that almost surely, the empirical distribution of the particles tends to this equilibrium measure as $N$ tends to infinity. In the more specific case of Coulomb interaction in dimension $d>2$, and when the external field is a convex or increasing function of the radius, then the equilibrium measure is supported in a ring. With a quadratic external field, the equilibrium measure is uniform on a ball." @default.
• W2001504669 created "2016-06-24" @default.
• W2001504669 creator A5015541993 @default.
• W2001504669 creator A5037114841 @default.
• W2001504669 creator A5053347753 @default.
• W2001504669 date "2014-12-01" @default.
• W2001504669 modified "2023-10-15" @default.
• W2001504669 title "First-order global asymptotics for confined particles with singular pair repulsion" @default.
• W2001504669 cites W1522699118 @default.
• W2001504669 cites W1524591749 @default.
• W2001504669 cites W1604027237 @default.
• W2001504669 cites W1958800402 @default.
• W2001504669 cites W1967318230 @default.
• W2001504669 cites W1969361395 @default.
• W2001504669 cites W1973579667 @default.
• W2001504669 cites W1974273485 @default.
• W2001504669 cites W1975558060 @default.
• W2001504669 cites W1987933439 @default.
• W2001504669 cites W2008703230 @default.
• W2001504669 cites W2008872040 @default.
• W2001504669 cites W2017770944 @default.
• W2001504669 cites W2018529115 @default.
• W2001504669 cites W2022402885 @default.
• W2001504669 cites W2025667867 @default.
• W2001504669 cites W2027360284 @default.
• W2001504669 cites W2036073493 @default.
• W2001504669 cites W2036748058 @default.
• W2001504669 cites W2044298758 @default.
• W2001504669 cites W2057355421 @default.
• W2001504669 cites W2060940584 @default.
• W2001504669 cites W2061819463 @default.
• W2001504669 cites W2061948528 @default.
• W2001504669 cites W2071588920 @default.
• W2001504669 cites W2094075998 @default.
• W2001504669 cites W2124625826 @default.
• W2001504669 cites W2129351457 @default.
• W2001504669 cites W2130550844 @default.
• W2001504669 cites W2169626414 @default.
• W2001504669 cites W2172183648 @default.
• W2001504669 cites W2480353178 @default.
• W2001504669 cites W2595056910 @default.
• W2001504669 cites W2963588601 @default.
• W2001504669 cites W3098439608 @default.
• W2001504669 cites W3098783741 @default.
• W2001504669 cites W3099429601 @default.
• W2001504669 cites W3100800518 @default.
• W2001504669 cites W4210869902 @default.
• W2001504669 cites W4229966027 @default.
• W2001504669 cites W4230199773 @default.
• W2001504669 cites W4231215089 @default.
• W2001504669 cites W4252690290 @default.
• W2001504669 cites W4256467805 @default.
• W2001504669 doi "https://doi.org/10.1214/13-aap980" @default.
• W2001504669 hasPublicationYear "2014" @default.
• W2001504669 type Work @default.
• W2001504669 sameAs 2001504669 @default.
• W2001504669 citedByCount "59" @default.
• W2001504669 countsByYear W20015046692013 @default.
• W2001504669 countsByYear W20015046692014 @default.
• W2001504669 countsByYear W20015046692015 @default.
• W2001504669 countsByYear W20015046692016 @default.
• W2001504669 countsByYear W20015046692017 @default.
• W2001504669 countsByYear W20015046692018 @default.
• W2001504669 countsByYear W20015046692019 @default.
• W2001504669 countsByYear W20015046692020 @default.
• W2001504669 countsByYear W20015046692021 @default.
• W2001504669 countsByYear W20015046692022 @default.
• W2001504669 countsByYear W20015046692023 @default.
• W2001504669 crossrefType "journal-article" @default.
• W2001504669 hasAuthorship W2001504669A5015541993 @default.
• W2001504669 hasAuthorship W2001504669A5037114841 @default.
• W2001504669 hasAuthorship W2001504669A5053347753 @default.
• W2001504669 hasBestOaLocation W20015046691 @default.
• W2001504669 hasConcept C10138342 @default.
• W2001504669 hasConcept C105795698 @default.
• W2001504669 hasConcept C110121322 @default.
• W2001504669 hasConcept C112680207 @default.
• W2001504669 hasConcept C114614502 @default.
• W2001504669 hasConcept C121332964 @default.
• W2001504669 hasConcept C122041747 @default.
• W2001504669 hasConcept C134306372 @default.
• W2001504669 hasConcept C134912446 @default.
• W2001504669 hasConcept C147120987 @default.
• W2001504669 hasConcept C15964574 @default.
• W2001504669 hasConcept C162324750 @default.
• W2001504669 hasConcept C182306322 @default.
• W2001504669 hasConcept C206194317 @default.
• W2001504669 hasConcept C2524010 @default.
• W2001504669 hasConcept C2780009758 @default.
• W2001504669 hasConcept C33676613 @default.
• W2001504669 hasConcept C33923547 @default.
• W2001504669 hasConcept C41008148 @default.
• W2001504669 hasConcept C62520636 @default.
• W2001504669 hasConcept C75438885 @default.
• W2001504669 hasConcept C77088390 @default.
• W2001504669 hasConcept C9342510 @default.
• W2001504669 hasConceptScore W2001504669C10138342 @default.
• W2001504669 hasConceptScore W2001504669C105795698 @default.
• W2001504669 hasConceptScore W2001504669C110121322 @default.
• W2001504669 hasConceptScore W2001504669C112680207 @default.

• next