Dynamics semi-conjugated to a subshift for some polynomial mappings in C2

被引：7

作者：

Vigny, Gabriel ^{[1
]}

机构：

[1] Univ Paris Sud, UMR 8628, F-91405 Orsay, France

来源：

PUBLICACIONS MATEMATIQUES | 2007年 / 51卷 / 01期

关键词：

polynomial mapping; Green current; subshift;

D O I：

10.5565/PUBLMAT_51107_09

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the dynamics near infinity of polynomial mappings f in C-2. We assume that f has indeterminacy points and is non constant on the line at infinity L-infinity. If L-infinity is f-attracting, we decompose the Green current along itineraries defined by the indeterminacy points and their preimages. The symbolic dynamics that arises is a subshift on an infinite alphabet.

引用

页码：201 / 222

页数：22