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CONTINUITY OF THE PHONON GAP
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UNSPECIFIED (1993) CONTINUITY OF THE PHONON GAP. PHYSICS LETTERS A, 183 (2-3). pp. 193-195. ISSN 0375-9601
Full text not available from this repository.Abstract
The phonon gap G for an invariant set LAMBDA of a symplectic twist map of R(d) X R(d) with action functional W is the infimum of \\D2W(x)(z)xi\\2 over z is-an-element-of LAMBDA and variations xi with \\xi\\2 = 1. It is proved here that if LAMBDA(k), k is-an-element-of N, is a sequence of compact invariant sets converging in Hausdorff topology to a compact invariant set LAMBDA, then G(LAMBDA(k)) converges to G(LAMBDA). The result implies that the phonon gap is an excellent quantifier of uniform hyperbolicity. Several generalisations are sketched.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QC Physics |
| Journal or Publication Title: | PHYSICS LETTERS A |
| Publisher: | ELSEVIER SCIENCE BV |
| ISSN: | 0375-9601 |
| Date: | 6 December 1993 |
| Volume: | 183 |
| Number: | 2-3 |
| Number of Pages: | 3 |
| Page Range: | pp. 193-195 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/20922 |
Data sourced from Thomson Reuters' Web of Knowledge
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