Matches in SemOpenAlex for { <https://semopenalex.org/work/W4298914935> ?p ?o ?g. }
Showing items 1 to 56 of
56
with 100 items per page.
- W4298914935 abstract "We prove two types of nodal results for density one subsequences of an orthonormal basis ${phi_j}$ of eigenfunctions of the Laplacian on a negatively curved compact surface. The first type of result involves the intersections $Z_{phi_j} cap H$ of the nodal set $Z_{phi_j}$ of $phi_j$ with a smooth curve $H$. Using recent results on quantum ergodic restriction theorems and prior results on periods of eigenfunctions over curves, we prove that under an asymmetry assumption on $H$, the number of intersection points tends to infinity for a density one subsequence of the $phi_j$. . We also prove that the number of zeros of the normal derivative $partial_{nu} phi_j$ on $H$ tends to infinity. From these results we obtain a lower bound on the number of nodal domains of even and odd eigenfunctions on surfaces with an isometric involution. Using (and generalizing) a geometric argument of Ghosh-Reznikov-Sarnak, we show that the number of nodal domains of even or odd eigenfunctions tends to infinity for a density one subsequence of eigenfunctions." @default.
- W4298914935 created "2022-10-02" @default.
- W4298914935 creator A5016842069 @default.
- W4298914935 creator A5051556693 @default.
- W4298914935 date "2013-10-10" @default.
- W4298914935 modified "2023-09-28" @default.
- W4298914935 title "Number of nodal domains and singular points of eigenfunctions of negatively curved surfaces with an isometric involution" @default.
- W4298914935 doi "https://doi.org/10.48550/arxiv.1310.2919" @default.
- W4298914935 hasPublicationYear "2013" @default.
- W4298914935 type Work @default.
- W4298914935 citedByCount "0" @default.
- W4298914935 crossrefType "posted-content" @default.
- W4298914935 hasAuthorship W4298914935A5016842069 @default.
- W4298914935 hasAuthorship W4298914935A5051556693 @default.
- W4298914935 hasBestOaLocation W42989149351 @default.
- W4298914935 hasConcept C114614502 @default.
- W4298914935 hasConcept C121332964 @default.
- W4298914935 hasConcept C122044880 @default.
- W4298914935 hasConcept C128803854 @default.
- W4298914935 hasConcept C134306372 @default.
- W4298914935 hasConcept C137877099 @default.
- W4298914935 hasConcept C158693339 @default.
- W4298914935 hasConcept C165700671 @default.
- W4298914935 hasConcept C202444582 @default.
- W4298914935 hasConcept C33923547 @default.
- W4298914935 hasConcept C34388435 @default.
- W4298914935 hasConcept C62520636 @default.
- W4298914935 hasConceptScore W4298914935C114614502 @default.
- W4298914935 hasConceptScore W4298914935C121332964 @default.
- W4298914935 hasConceptScore W4298914935C122044880 @default.
- W4298914935 hasConceptScore W4298914935C128803854 @default.
- W4298914935 hasConceptScore W4298914935C134306372 @default.
- W4298914935 hasConceptScore W4298914935C137877099 @default.
- W4298914935 hasConceptScore W4298914935C158693339 @default.
- W4298914935 hasConceptScore W4298914935C165700671 @default.
- W4298914935 hasConceptScore W4298914935C202444582 @default.
- W4298914935 hasConceptScore W4298914935C33923547 @default.
- W4298914935 hasConceptScore W4298914935C34388435 @default.
- W4298914935 hasConceptScore W4298914935C62520636 @default.
- W4298914935 hasLocation W42989149351 @default.
- W4298914935 hasLocation W42989149352 @default.
- W4298914935 hasOpenAccess W4298914935 @default.
- W4298914935 hasPrimaryLocation W42989149351 @default.
- W4298914935 hasRelatedWork W1606423697 @default.
- W4298914935 hasRelatedWork W2027619911 @default.
- W4298914935 hasRelatedWork W2051852435 @default.
- W4298914935 hasRelatedWork W2094532370 @default.
- W4298914935 hasRelatedWork W2138065194 @default.
- W4298914935 hasRelatedWork W2317381076 @default.
- W4298914935 hasRelatedWork W2406930625 @default.
- W4298914935 hasRelatedWork W4249099142 @default.
- W4298914935 hasRelatedWork W4298914935 @default.
- W4298914935 hasRelatedWork W4302419125 @default.
- W4298914935 isParatext "false" @default.
- W4298914935 isRetracted "false" @default.
- W4298914935 workType "article" @default.