Matches in SemOpenAlex for { <https://semopenalex.org/work/W2038001585> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W2038001585 endingPage "255" @default.
- W2038001585 startingPage "223" @default.
- W2038001585 abstract "We prove a result, announced by F. Nazarov, L. Polterovich and M. Sodin that exhibits a relation between the average local growth of a Laplace eigenfunction on a closed surface and the global size of its nodal set. More precisely, we provide a lower and an upper bound to the Hausdorff measure of the nodal set in terms of the expected value of the growth exponent of an eigenfunction on disks of wavelength like radius. Combined with Yau's conjecture, the result implies that the average local growth of an eigenfunction on such disks is bounded by constants in the semi-classical limit. We also obtain results that link the size of the nodal set to the growth of solutions of planar Schrodinger equations with small potential." @default.
- W2038001585 created "2016-06-24" @default.
- W2038001585 creator A5077195536 @default.
- W2038001585 date "2015-04-15" @default.
- W2038001585 modified "2023-10-16" @default.
- W2038001585 title "Nodal sets and growth exponents of Laplace eigenfunctions on surfaces" @default.
- W2038001585 cites W1491583281 @default.
- W2038001585 cites W1541339830 @default.
- W2038001585 cites W1604186800 @default.
- W2038001585 cites W1998698694 @default.
- W2038001585 cites W2019921075 @default.
- W2038001585 cites W2032587018 @default.
- W2038001585 cites W2043419082 @default.
- W2038001585 cites W2056704737 @default.
- W2038001585 cites W2073685494 @default.
- W2038001585 cites W2151764409 @default.
- W2038001585 cites W2156743301 @default.
- W2038001585 cites W2388235331 @default.
- W2038001585 cites W2962870430 @default.
- W2038001585 cites W4236414382 @default.
- W2038001585 cites W4237038737 @default.
- W2038001585 cites W4250845885 @default.
- W2038001585 doi "https://doi.org/10.2140/apde.2015.8.223" @default.
- W2038001585 hasPublicationYear "2015" @default.
- W2038001585 type Work @default.
- W2038001585 sameAs 2038001585 @default.
- W2038001585 citedByCount "2" @default.
- W2038001585 countsByYear W20380015852021 @default.
- W2038001585 countsByYear W20380015852023 @default.
- W2038001585 crossrefType "journal-article" @default.
- W2038001585 hasAuthorship W2038001585A5077195536 @default.
- W2038001585 hasBestOaLocation W20380015851 @default.
- W2038001585 hasConcept C121332964 @default.
- W2038001585 hasConcept C128803854 @default.
- W2038001585 hasConcept C134306372 @default.
- W2038001585 hasConcept C138885662 @default.
- W2038001585 hasConcept C158693339 @default.
- W2038001585 hasConcept C178635117 @default.
- W2038001585 hasConcept C194198291 @default.
- W2038001585 hasConcept C202444582 @default.
- W2038001585 hasConcept C2780388253 @default.
- W2038001585 hasConcept C2780990831 @default.
- W2038001585 hasConcept C33923547 @default.
- W2038001585 hasConcept C34388435 @default.
- W2038001585 hasConcept C38652104 @default.
- W2038001585 hasConcept C41008148 @default.
- W2038001585 hasConcept C41895202 @default.
- W2038001585 hasConcept C62520636 @default.
- W2038001585 hasConcept C73225184 @default.
- W2038001585 hasConcept C77553402 @default.
- W2038001585 hasConcept C97937538 @default.
- W2038001585 hasConceptScore W2038001585C121332964 @default.
- W2038001585 hasConceptScore W2038001585C128803854 @default.
- W2038001585 hasConceptScore W2038001585C134306372 @default.
- W2038001585 hasConceptScore W2038001585C138885662 @default.
- W2038001585 hasConceptScore W2038001585C158693339 @default.
- W2038001585 hasConceptScore W2038001585C178635117 @default.
- W2038001585 hasConceptScore W2038001585C194198291 @default.
- W2038001585 hasConceptScore W2038001585C202444582 @default.
- W2038001585 hasConceptScore W2038001585C2780388253 @default.
- W2038001585 hasConceptScore W2038001585C2780990831 @default.
- W2038001585 hasConceptScore W2038001585C33923547 @default.
- W2038001585 hasConceptScore W2038001585C34388435 @default.
- W2038001585 hasConceptScore W2038001585C38652104 @default.
- W2038001585 hasConceptScore W2038001585C41008148 @default.
- W2038001585 hasConceptScore W2038001585C41895202 @default.
- W2038001585 hasConceptScore W2038001585C62520636 @default.
- W2038001585 hasConceptScore W2038001585C73225184 @default.
- W2038001585 hasConceptScore W2038001585C77553402 @default.
- W2038001585 hasConceptScore W2038001585C97937538 @default.
- W2038001585 hasIssue "1" @default.
- W2038001585 hasLocation W20380015851 @default.
- W2038001585 hasLocation W20380015852 @default.
- W2038001585 hasLocation W20380015853 @default.
- W2038001585 hasLocation W20380015854 @default.
- W2038001585 hasLocation W20380015855 @default.
- W2038001585 hasOpenAccess W2038001585 @default.
- W2038001585 hasPrimaryLocation W20380015851 @default.
- W2038001585 hasRelatedWork W2114191816 @default.
- W2038001585 hasRelatedWork W2406930625 @default.
- W2038001585 hasRelatedWork W2606009334 @default.
- W2038001585 hasRelatedWork W2897153210 @default.
- W2038001585 hasRelatedWork W2951836932 @default.
- W2038001585 hasRelatedWork W2964292522 @default.
- W2038001585 hasRelatedWork W2978736807 @default.
- W2038001585 hasRelatedWork W3012966034 @default.
- W2038001585 hasRelatedWork W3026358768 @default.
- W2038001585 hasRelatedWork W4375947704 @default.
- W2038001585 hasVolume "8" @default.
- W2038001585 isParatext "false" @default.
- W2038001585 isRetracted "false" @default.
- W2038001585 magId "2038001585" @default.
- W2038001585 workType "article" @default.