Matches in SemOpenAlex for { <https://semopenalex.org/work/W3037248832> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W3037248832 endingPage "4585" @default.
- W3037248832 startingPage "4561" @default.
- W3037248832 abstract "Neumann domains of Laplacian eigenfunctions form a natural counterpart of nodal domains. The restriction of an eigenfunction to one of its nodal domains is the first Dirichlet eigenfunction of that domain. This simple observation is fundamental in many works on nodal domains. We consider a similar property for Neumann domains. Namely, given a Laplacian eigenfunction f and its Neumann domain $$Omega $$ , what is the position of $$left. fright| _{Omega }$$ in the Neumann spectrum of $$Omega $$ ? The current paper treats this spectral position problem on the two-dimensional torus. We fully solve it for separable eigenfunctions on the torus and complement our analytic solution with numerics for random waves on the torus. These results answer questions from (Band and Fajman in Ann Henri Poincare, 17(9):2379–2407, 2016; Zelditch in Surv Differ Geom 18:237–308, 2013) and raise new ones." @default.
- W3037248832 created "2020-07-02" @default.
- W3037248832 creator A5085669362 @default.
- W3037248832 creator A5089661863 @default.
- W3037248832 creator A5091822151 @default.
- W3037248832 date "2020-06-24" @default.
- W3037248832 modified "2023-09-24" @default.
- W3037248832 title "The Spectral Position of Neumann Domains on the Torus" @default.
- W3037248832 cites W1556192255 @default.
- W3037248832 cites W1586623601 @default.
- W3037248832 cites W1586863316 @default.
- W3037248832 cites W1970446082 @default.
- W3037248832 cites W1989988781 @default.
- W3037248832 cites W1992081887 @default.
- W3037248832 cites W2014746305 @default.
- W3037248832 cites W2016559401 @default.
- W3037248832 cites W2032261299 @default.
- W3037248832 cites W2052902747 @default.
- W3037248832 cites W2061754404 @default.
- W3037248832 cites W2064679812 @default.
- W3037248832 cites W2066233828 @default.
- W3037248832 cites W2084280623 @default.
- W3037248832 cites W2110197905 @default.
- W3037248832 cites W2180953173 @default.
- W3037248832 cites W2335197257 @default.
- W3037248832 cites W2962870430 @default.
- W3037248832 cites W3102109220 @default.
- W3037248832 cites W4229690478 @default.
- W3037248832 cites W4233105015 @default.
- W3037248832 doi "https://doi.org/10.1007/s12220-020-00444-9" @default.
- W3037248832 hasPublicationYear "2020" @default.
- W3037248832 type Work @default.
- W3037248832 sameAs 3037248832 @default.
- W3037248832 citedByCount "3" @default.
- W3037248832 countsByYear W30372488322020 @default.
- W3037248832 countsByYear W30372488322021 @default.
- W3037248832 crossrefType "journal-article" @default.
- W3037248832 hasAuthorship W3037248832A5085669362 @default.
- W3037248832 hasAuthorship W3037248832A5089661863 @default.
- W3037248832 hasAuthorship W3037248832A5091822151 @default.
- W3037248832 hasBestOaLocation W30372488322 @default.
- W3037248832 hasConcept C10138342 @default.
- W3037248832 hasConcept C102519508 @default.
- W3037248832 hasConcept C134306372 @default.
- W3037248832 hasConcept C162324750 @default.
- W3037248832 hasConcept C192939610 @default.
- W3037248832 hasConcept C198082294 @default.
- W3037248832 hasConcept C202444582 @default.
- W3037248832 hasConcept C203024314 @default.
- W3037248832 hasConcept C2524010 @default.
- W3037248832 hasConcept C33923547 @default.
- W3037248832 hasConcept C9767117 @default.
- W3037248832 hasConceptScore W3037248832C10138342 @default.
- W3037248832 hasConceptScore W3037248832C102519508 @default.
- W3037248832 hasConceptScore W3037248832C134306372 @default.
- W3037248832 hasConceptScore W3037248832C162324750 @default.
- W3037248832 hasConceptScore W3037248832C192939610 @default.
- W3037248832 hasConceptScore W3037248832C198082294 @default.
- W3037248832 hasConceptScore W3037248832C202444582 @default.
- W3037248832 hasConceptScore W3037248832C203024314 @default.
- W3037248832 hasConceptScore W3037248832C2524010 @default.
- W3037248832 hasConceptScore W3037248832C33923547 @default.
- W3037248832 hasConceptScore W3037248832C9767117 @default.
- W3037248832 hasFunder F4320322252 @default.
- W3037248832 hasIssue "5" @default.
- W3037248832 hasLocation W30372488321 @default.
- W3037248832 hasLocation W30372488322 @default.
- W3037248832 hasOpenAccess W3037248832 @default.
- W3037248832 hasPrimaryLocation W30372488321 @default.
- W3037248832 hasRelatedWork W1620695970 @default.
- W3037248832 hasRelatedWork W1983611176 @default.
- W3037248832 hasRelatedWork W2015720599 @default.
- W3037248832 hasRelatedWork W2037863713 @default.
- W3037248832 hasRelatedWork W2085985792 @default.
- W3037248832 hasRelatedWork W2093070774 @default.
- W3037248832 hasRelatedWork W2171319959 @default.
- W3037248832 hasRelatedWork W2964226810 @default.
- W3037248832 hasRelatedWork W4250534089 @default.
- W3037248832 hasRelatedWork W4255936876 @default.
- W3037248832 hasVolume "31" @default.
- W3037248832 isParatext "false" @default.
- W3037248832 isRetracted "false" @default.
- W3037248832 magId "3037248832" @default.
- W3037248832 workType "article" @default.