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arxiv: math/0312029 · v2 · submitted 2003-12-01 · 🧮 math.NT · math.DS

Wandering domains in non-archimedean polynomial dynamics

classification 🧮 math.NT math.DS
keywords domainswanderingfieldnon-archimedeanpolynomialpolynomialsalgebraicallycertain
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We extend a recent result on the existence of wandering domains of polynomial functions defined over the p-adic field C_p to any algebraically closed complete non-archimedean field C_K with residue characteristic p>0. We also prove that polynomials with wandering domains form a dense subset of a certain one-dimensional family of degree p+1 polynomials in C_K[z].

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