DYNAMIC PROPERTIES OF SOME CLASSES OF ENTIRE-FUNCTIONS

被引：304
作者：
EREMENKO, AE
LYUBICH, MY
机构：
[1] PURDUE UNIV,DEPT MATH,W LAFAYETTE,IN 47907
[2] SUNY STONY BROOK,INST MATH SCI,STONY BROOK,NY 11794
来源：
ANNALES DE L INSTITUT FOURIER | 1992年 / 42卷 / 04期
关键词：
DYNAMICS; ENTIRE FUNCTION; JULIA SET; PERIODIC POINT; STRUCTURAL STABILITY;
D O I：
10.5802/aif.1318
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper is concerned with the dynamics of an entire transcendental function whose inverse has only finitely many singularities. It is proven that there are no escaping orbits on the Fatou set. Under some extra assumptions the set of escaping orbits has zero Lebesgue measure. If a function depends analytically on parameters then a periodic point as a function of parameters has only algebraic singularities. This yields the Structural Stability Theorem.
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页码：989 / 1020
页数：32
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