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Article: Nonnegative radix representations for the orthant R+n
| Title | Nonnegative radix representations for the orthant R+n |
|---|---|
| Authors | |
| Issue Date | 1996 |
| Citation | Transactions of the American Mathematical Society, 1996, v. 348, n. 1, p. 99-117 How to Cite? |
| Abstract | Let A be a nonnegative real matrix which is expanding, i.e. with all eigenvalues |λ| > 1, and suppose that |det(A)| is an integer. Let D consist of exactly |det(A)| nonnegative vectors in Rn. We classify all pairs (A, D) such that every x in the orthant R |
| Persistent Identifier | http://hdl.handle.net/10722/362964 |
| ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 1.581 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Lagarias, Jeffrey C. | - |
| dc.contributor.author | Wang, Yang | - |
| dc.date.accessioned | 2025-10-10T07:43:45Z | - |
| dc.date.available | 2025-10-10T07:43:45Z | - |
| dc.date.issued | 1996 | - |
| dc.identifier.citation | Transactions of the American Mathematical Society, 1996, v. 348, n. 1, p. 99-117 | - |
| dc.identifier.issn | 0002-9947 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/362964 | - |
| dc.description.abstract | Let A be a nonnegative real matrix which is expanding, i.e. with all eigenvalues |λ| > 1, and suppose that |det(A)| is an integer. Let D consist of exactly |det(A)| nonnegative vectors in R<sup>n</sup>. We classify all pairs (A, D) such that every x in the orthant R<inf>+</inf><sup>n</sup> has at least one radix expansion in base A using digits in D. The matrix A must be a diagonal matrix times a permutation matrix. In addition A must be similar to an integer matrix, but need not be an integer matrix. In all cases the digit set D can be diagonally scaled to lie in Z<sup>n</sup>. The proofs generalize a method of Odlyzko, previously used to classify the one-dimensional case. © 1996 American Mathematical Society. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Transactions of the American Mathematical Society | - |
| dc.title | Nonnegative radix representations for the orthant R+n | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1090/s0002-9947-96-01538-3 | - |
| dc.identifier.scopus | eid_2-s2.0-0009115112 | - |
| dc.identifier.volume | 348 | - |
| dc.identifier.issue | 1 | - |
| dc.identifier.spage | 99 | - |
| dc.identifier.epage | 117 | - |