Dynamics of regular polynomial endomorphisms of C-k

Authors
Bedford, E Jonsson, M
Citation
E. Bedford et M. Jonsson, Dynamics of regular polynomial endomorphisms of C-k, AM J MATH, 122(1), 2000, pp. 153-212
Citations number
33
Categorie Soggetti
Mathematics
Journal title
AMERICAN JOURNAL OF MATHEMATICS
ISSN journal
00029327 → ACNP
Volume
122
Issue
1
Year of publication
2000
Pages
153 - 212
Database
ISI
SICI code
0002-9327(200002)122:1<153:DORPEO>2.0.ZU;2-A
Abstract
A regular polynomial self-mapping of complex Euclidean space has a continuo us extension to the hyperplane at infinity. The induced mapping at infinity is used to describe the dynamics of the self-mapping in a neighborhood of infinity. A theory of external rays is developed to provide the connection between the behavior at infinity and the behavior on the finite plane.