Intersections of polynomial orbits, and a dynamical Mordell–Lang conjecture
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- Ghioca, D., Tucker, T. & Zieve, M. Invent. math. (2008) 171: 463. doi:10.1007/s00222-007-0087-5
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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.