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20032005
most citedPreperiodic points of polynomials over global fields

2 citations · 3 across the 5 of their papers we have counts for

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math.CA2003

Examples of wavelets for local fields

Robert L. Benedetto

Using the wavelet theory introduced by the author and J. Benedetto, we present examples of wavelets on p-adic fields and other locally compact abelian groups with compact open subg…

math.NT2003

Wandering domains and nontrivial reduction in non-archimedean dynamics

Robert L. Benedetto

Let K be a non-archimedean field with residue field k, and suppose that k is not an algebraic extension of a finite field. We prove two results concerning wandering domains of rati…

math.NT2003★ 1 cited

Wandering domains in non-archimedean polynomial dynamics

Robert L. Benedetto

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…