Wandering Domains in Non-Archimedean Polynomial Dynamics |
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| Authors: | Benedetto Robert L |
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| Institution: | Department of Mathematics and Computer Science, Amherst College Amherst, MA 01002, USA e-mail: rlb{at}cs.amherst.edu |
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| Abstract: | We extend a recent result on the existence of wandering domainsof polynomial functions defined over the p-adic field Cp toany algebraically closed complete non-archimedean field CK withresidue characteristic p > 0. We also prove that polynomialswith wandering domains form a dense subset of a certain one-dimensionalfamily of degree p + 1 polynomials in CKZ]. 2000 MathematicsSubject Classification 12J25 (primary), 37F99 (secondary). |
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