paper

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

arXiv:0705.1954 · doi:10.1007/s00222-007-0087-5

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.

19 pages; to appear in Inventiones Mathematicae; in this version we modified the exposition in view of the referee's comments

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