Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture
Number Theory
2009-11-13 v2 Algebraic Geometry
Dynamical Systems
Abstract
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.
Cite
@article{arxiv.0705.1954,
title = {Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture},
author = {Dragos Ghioca and Thomas J. Tucker and Michael E. Zieve},
journal= {arXiv preprint arXiv:0705.1954},
year = {2009}
}