Matches in SemOpenAlex for { <https://semopenalex.org/work/W2004730388> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W2004730388 endingPage "449" @default.
- W2004730388 startingPage "446" @default.
- W2004730388 abstract "Abstract Aperiodic crystals viewed as Delone sets of points on the real line, having an average lattice, are studied as congruence model λ-sets (physical space is Euclidean and the equivalent of the internal space is toric) in the context of cut-and-congruence λ-schemes, a new concept. When windows are finite point sets, the fractal rates of occupancy, at infinity, of the affine lattices associated with such Delone sets are shown to be simply related to the scaling exponents of the Fourier transform of the autocorrelation measure, completing results of Hof. These fractal rates of occupancy are named rarefaction laws. The case of the Thue–Morse quasicrystal, as a Meyer set, is explicitly developed. We present the arithmetics of 3-rarefaction phenomenon, the fractality of the Fourier transform of the autocorrelation measure. This new approach provides explicit formulae for singular continuous peaks and allows to discuss their possible extinction. In particular, this gives a possible sieve among Delone sets to be crystals in the new definition of a crystal by the IUCr in 1992. Ponctual scaling laws and the Bombieri–Taylor argument are considered." @default.
- W2004730388 created "2016-06-24" @default.
- W2004730388 creator A5004364068 @default.
- W2004730388 creator A5012168117 @default.
- W2004730388 date "2000-12-01" @default.
- W2004730388 modified "2023-09-30" @default.
- W2004730388 title "Mathematical quasicrystals with toric internal spaces, diffraction and rarefaction" @default.
- W2004730388 cites W139389052 @default.
- W2004730388 cites W1574548578 @default.
- W2004730388 cites W1976727914 @default.
- W2004730388 cites W1984632466 @default.
- W2004730388 cites W1989698325 @default.
- W2004730388 cites W1990420367 @default.
- W2004730388 cites W2001305816 @default.
- W2004730388 cites W200769125 @default.
- W2004730388 cites W2011156843 @default.
- W2004730388 cites W2030691099 @default.
- W2004730388 cites W2033390765 @default.
- W2004730388 cites W2034666626 @default.
- W2004730388 cites W2035630504 @default.
- W2004730388 cites W2065124479 @default.
- W2004730388 cites W2067471811 @default.
- W2004730388 cites W2132915523 @default.
- W2004730388 cites W2479357291 @default.
- W2004730388 cites W2501263083 @default.
- W2004730388 cites W56268668 @default.
- W2004730388 cites W88162231 @default.
- W2004730388 doi "https://doi.org/10.1016/s0921-5093(00)01303-4" @default.
- W2004730388 hasPublicationYear "2000" @default.
- W2004730388 type Work @default.
- W2004730388 sameAs 2004730388 @default.
- W2004730388 citedByCount "2" @default.
- W2004730388 crossrefType "journal-article" @default.
- W2004730388 hasAuthorship W2004730388A5004364068 @default.
- W2004730388 hasAuthorship W2004730388A5012168117 @default.
- W2004730388 hasConcept C102519508 @default.
- W2004730388 hasConcept C104247578 @default.
- W2004730388 hasConcept C114614502 @default.
- W2004730388 hasConcept C132074034 @default.
- W2004730388 hasConcept C134306372 @default.
- W2004730388 hasConcept C202444582 @default.
- W2004730388 hasConcept C203101518 @default.
- W2004730388 hasConcept C2524010 @default.
- W2004730388 hasConcept C2780009758 @default.
- W2004730388 hasConcept C33923547 @default.
- W2004730388 hasConcept C41008148 @default.
- W2004730388 hasConcept C77088390 @default.
- W2004730388 hasConceptScore W2004730388C102519508 @default.
- W2004730388 hasConceptScore W2004730388C104247578 @default.
- W2004730388 hasConceptScore W2004730388C114614502 @default.
- W2004730388 hasConceptScore W2004730388C132074034 @default.
- W2004730388 hasConceptScore W2004730388C134306372 @default.
- W2004730388 hasConceptScore W2004730388C202444582 @default.
- W2004730388 hasConceptScore W2004730388C203101518 @default.
- W2004730388 hasConceptScore W2004730388C2524010 @default.
- W2004730388 hasConceptScore W2004730388C2780009758 @default.
- W2004730388 hasConceptScore W2004730388C33923547 @default.
- W2004730388 hasConceptScore W2004730388C41008148 @default.
- W2004730388 hasConceptScore W2004730388C77088390 @default.
- W2004730388 hasLocation W20047303881 @default.
- W2004730388 hasOpenAccess W2004730388 @default.
- W2004730388 hasPrimaryLocation W20047303881 @default.
- W2004730388 hasRelatedWork W14161808 @default.
- W2004730388 hasRelatedWork W1528800279 @default.
- W2004730388 hasRelatedWork W1666913085 @default.
- W2004730388 hasRelatedWork W2004117686 @default.
- W2004730388 hasRelatedWork W2050400157 @default.
- W2004730388 hasRelatedWork W2070023106 @default.
- W2004730388 hasRelatedWork W2089062302 @default.
- W2004730388 hasRelatedWork W2092208287 @default.
- W2004730388 hasRelatedWork W2129957743 @default.
- W2004730388 hasRelatedWork W2167105775 @default.
- W2004730388 hasRelatedWork W2289792664 @default.
- W2004730388 hasRelatedWork W2384389472 @default.
- W2004730388 hasRelatedWork W2598744618 @default.
- W2004730388 hasRelatedWork W2949448952 @default.
- W2004730388 hasRelatedWork W2963513763 @default.
- W2004730388 hasRelatedWork W3022425723 @default.
- W2004730388 hasRelatedWork W3098473991 @default.
- W2004730388 hasRelatedWork W592918182 @default.
- W2004730388 hasRelatedWork W657620523 @default.
- W2004730388 hasRelatedWork W99187565 @default.
- W2004730388 hasVolume "294-296" @default.
- W2004730388 isParatext "false" @default.
- W2004730388 isRetracted "false" @default.
- W2004730388 magId "2004730388" @default.
- W2004730388 workType "article" @default.