Multivariate Böttcher equation for polynomials with non-negative coefficients

Research Report MRR99-014

Multivariate Böttcher equation for polynomials with non-negative coefficients

Owen Jones

Abstract: We give conditions for the multivariate Böttcher equation $\beta(f(x)) = \beta(x)^\lambda$ to have a solution, in the case where $f : R^d \to R^d$ is a polynomial with non-negative coefficients. The solution is constructed from the limit of the functional iterates $-\lambda^{-n} \log f^n(x)$ .

Download paper: gzipped PostScript file (372K)

Download cover sheet: PDF file (53K)

DVI file (2K)

Select this link for a text-only version of this abstract.

This service is maintained by the Mathematical Sciences Institute (MSI)
Comments to webmaster@maths.anu.edu.au URL: http://wwwmaths.anu.edu.au/

Download paper:	gzipped PostScript file (372K)

Download cover sheet:	PDF file (53K)
	DVI file (2K)