Wandering Fatou Components and Algebraic Julia Sets
نویسنده
چکیده
We study the dynamics of polynomials with coefficients in a nonArchimedean field L, where L is the completion of an algebraic closure of the field of formal Laurent series. We prove that every wandering Fatou component is contained in the basin of a periodic orbit. We give a dynamical characterization of polynomials having algebraic Julia sets. More precisely, we establish that a polynomial with algebraic coefficients (over the field of formal Laurent series) has algebraic Julia set if and only if every critical point is non recurrent.
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