Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture

被引：50

作者：

Ghioca, Dragos ^{[1
]}

Tucker, Thomas J. ^{[2
]}

Zieve, Michael E. ^{[3
]}

机构：

[1] Univ Lethbridge, Dept Math & Comp Sci, Lethbridge, AB T1K 3M4, Canada

[2] Univ Rochester, Dept Math, Rochester, NY 14627 USA

[3] Ctr Commun Res, Princeton, NJ 08540 USA

来源：

INVENTIONES MATHEMATICAE | 2008年 / 171卷 / 02期

关键词：

D O I：

10.1007/s00222-007-0087-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if nonlinear complex polynomials of the same degree have orbits with infinite intersection, then the polynomials have a common iterate. We also prove a special case of a conjectured dynamical analogue of the Mordell-Lang conjecture.

引用

页码：463 / 483

页数：21

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