FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2034358058> ?p ?o ?g. }

• W2034358058 endingPage "46" @default.
• W2034358058 startingPage "37" @default.
• W2034358058 abstract "Recently, Avishai, Berend, and Glaubman [Phys. Rev. Lett. 72 (1994) 1842] obtained the minimal dimension 3r − 3 of the trace maps in the theory of quasiperiodic and aperiodic lattices constructed by deterministic substitution schemes of r distinct letters. We first present an alternative proof of the minimal dimension, which is given by 12r(r + 1) for 1 ≤ r ≤ 3 and 3r − 3 for 3 < r (Theorem 1), using the sequence of Grammians in the three-dimensional vector space, since transfer matrices can be regarded as three-dimensional vectors. Second, we generalize the proof to systems with r vectors in an n-dimensional linear vector space. The minimal dimension is given as 12r(r + 1) for 1 ≤ r ≤ n and nr − 12n(n − 1) for n < r (Theorem 2). Finally, we conclude that the minimal dimension is that of the intersection of algebraic varieties that are defined as a series of Grammians in the system." @default.
• W2034358058 created "2016-06-24" @default.
• W2034358058 creator A5042380481 @default.
• W2034358058 date "1996-06-01" @default.
• W2034358058 modified "2023-09-25" @default.
• W2034358058 title "An alternative proof for the minimal dimension of the trace map: The intersection of algebraic varieties" @default.
• W2034358058 cites W1497399181 @default.
• W2034358058 cites W1510237842 @default.
• W2034358058 cites W1528521152 @default.
• W2034358058 cites W1605851040 @default.
• W2034358058 cites W1828839365 @default.
• W2034358058 cites W1965571039 @default.
• W2034358058 cites W1970703211 @default.
• W2034358058 cites W1974089246 @default.
• W2034358058 cites W1982527861 @default.
• W2034358058 cites W1988619801 @default.
• W2034358058 cites W1992530822 @default.
• W2034358058 cites W1996512722 @default.
• W2034358058 cites W2002224541 @default.
• W2034358058 cites W2008816347 @default.
• W2034358058 cites W2010051100 @default.
• W2034358058 cites W2011479647 @default.
• W2034358058 cites W2012240771 @default.
• W2034358058 cites W2024861239 @default.
• W2034358058 cites W2028349070 @default.
• W2034358058 cites W2036354591 @default.
• W2034358058 cites W2039042656 @default.
• W2034358058 cites W2039591639 @default.
• W2034358058 cites W2046354186 @default.
• W2034358058 cites W2058893291 @default.
• W2034358058 cites W2068818455 @default.
• W2034358058 cites W2078132974 @default.
• W2034358058 cites W2101071015 @default.
• W2034358058 cites W2137315178 @default.
• W2034358058 cites W2504103167 @default.
• W2034358058 cites W3146830351 @default.
• W2034358058 cites W1506568451 @default.
• W2034358058 doi "https://doi.org/10.1016/0375-9601(96)00271-x" @default.
• W2034358058 hasPublicationYear "1996" @default.
• W2034358058 type Work @default.
• W2034358058 sameAs 2034358058 @default.
• W2034358058 citedByCount "2" @default.
• W2034358058 crossrefType "journal-article" @default.
• W2034358058 hasAuthorship W2034358058A5042380481 @default.
• W2034358058 hasConcept C114614502 @default.
• W2034358058 hasConcept C121332964 @default.
• W2034358058 hasConcept C127413603 @default.
• W2034358058 hasConcept C134306372 @default.
• W2034358058 hasConcept C136119220 @default.
• W2034358058 hasConcept C138885662 @default.
• W2034358058 hasConcept C146978453 @default.
• W2034358058 hasConcept C186219872 @default.
• W2034358058 hasConcept C202444582 @default.
• W2034358058 hasConcept C33332235 @default.
• W2034358058 hasConcept C33676613 @default.
• W2034358058 hasConcept C33923547 @default.
• W2034358058 hasConcept C37253 @default.
• W2034358058 hasConcept C41895202 @default.
• W2034358058 hasConcept C51544822 @default.
• W2034358058 hasConcept C62520636 @default.
• W2034358058 hasConcept C64543145 @default.
• W2034358058 hasConcept C75291252 @default.
• W2034358058 hasConcept C77462122 @default.
• W2034358058 hasConcept C78045399 @default.
• W2034358058 hasConcept C9376300 @default.
• W2034358058 hasConceptScore W2034358058C114614502 @default.
• W2034358058 hasConceptScore W2034358058C121332964 @default.
• W2034358058 hasConceptScore W2034358058C127413603 @default.
• W2034358058 hasConceptScore W2034358058C134306372 @default.
• W2034358058 hasConceptScore W2034358058C136119220 @default.
• W2034358058 hasConceptScore W2034358058C138885662 @default.
• W2034358058 hasConceptScore W2034358058C146978453 @default.
• W2034358058 hasConceptScore W2034358058C186219872 @default.
• W2034358058 hasConceptScore W2034358058C202444582 @default.
• W2034358058 hasConceptScore W2034358058C33332235 @default.
• W2034358058 hasConceptScore W2034358058C33676613 @default.
• W2034358058 hasConceptScore W2034358058C33923547 @default.
• W2034358058 hasConceptScore W2034358058C37253 @default.
• W2034358058 hasConceptScore W2034358058C41895202 @default.
• W2034358058 hasConceptScore W2034358058C51544822 @default.
• W2034358058 hasConceptScore W2034358058C62520636 @default.
• W2034358058 hasConceptScore W2034358058C64543145 @default.
• W2034358058 hasConceptScore W2034358058C75291252 @default.
• W2034358058 hasConceptScore W2034358058C77462122 @default.
• W2034358058 hasConceptScore W2034358058C78045399 @default.
• W2034358058 hasConceptScore W2034358058C9376300 @default.
• W2034358058 hasIssue "1-5" @default.
• W2034358058 hasLocation W20343580581 @default.
• W2034358058 hasOpenAccess W2034358058 @default.
• W2034358058 hasPrimaryLocation W20343580581 @default.
• W2034358058 hasRelatedWork W1623366890 @default.
• W2034358058 hasRelatedWork W2034358058 @default.
• W2034358058 hasRelatedWork W2079384741 @default.
• W2034358058 hasRelatedWork W2095497128 @default.
• W2034358058 hasRelatedWork W2146520275 @default.
• W2034358058 hasRelatedWork W2296896756 @default.
• W2034358058 hasRelatedWork W2766998898 @default.
• W2034358058 hasRelatedWork W2964120207 @default.

• next