Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture
classification
🧮 math.NT
math.AGmath.DS
keywords
conjecturedynamicalmordell-langorbitspolynomialsproveanaloguecase
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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.
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