2 citations · 2 across the 4 of their papers we have counts for
4 papers
Preperiodic points of polynomials over global fields
Robert L. Benedetto
Given a global field K and a polynomial f defined over K of degree at least two, Morton and Silverman conjectured in 1994 that the number of K-rational preperiodic points of f is b…
An Ahlfors Islands Theorem for non-archimedean meromorphic functions
Robert L. Benedetto
We present a p-adic and non-archimdean version of the Five Islands Theorem for meromorphic functions from Ahlfors' theory of covering surfaces. In the non-archimedean setting, the…
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…
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…