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
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.
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页码:201 / 222
页数:22
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