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WANDERING DOMAINS IN NON-ARCHIMEDEAN POLYNOMIAL DYNAMICS

Published online by Cambridge University Press:  19 December 2006

ROBERT L. BENEDETTO
Affiliation:
Department of Mathematics and Computer Science, Amherst College, Amherst, MA 01002, [email protected]
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Abstract

We extend a recent result on the existence of wandering domains of polynomial functions defined over the $p$-adic field ${\mathbb{C}_p}$ to any algebraically closed complete non-archimedean field ${\mathbb{C}_K}$ 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 ${\mathbb{C}_K}[z]$.

Type
Papers
Copyright
The London Mathematical Society 2006

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