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
ePrint ID: 29789
Date Deposited: 03 Jan 2007
Last Modified: 27 Mar 2014 18:18
URI: http://eprints.soton.ac.uk/id/eprint/29789

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