Veronese and the detectives: finding the symmetry of attractors
Chillingworth, D.R.J. (1996) Veronese and the detectives: finding the symmetry of attractors. Fields Institute Communications, 5, 85-92.
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Description/Abstract
This paper explores connections between Veronese maps $R^n\to Sym_n$ (where $Sym_n$ is the $n(n+1)/2$ -dimensional space of $n\times n$ symmetric matrices) given by $x\mapsto xx^t$, and the detective maps defined by Barany et al. (Physica D, 67 (1993), 66-87). The main result is that if a quadratic detective exists then the Veronese map is a detective.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics |
| Item ID: | 29789 |
| Date Deposited: | 03 Jan 2007 |
| Last Modified: | 02 Mar 2012 11:46 |
| Contributors: | Chillingworth, D.R.J. (Author) |
| Date: | 1996 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/29789 |
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