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math.NT2004

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…

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…