p-Adic Dynamics and Sullivan's No Wandering Domains Theorem

By Robert L. Benedetto. Compositio Mathematica, 2000

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Reduction, Dynamics, and Julia Sets of Rational Functions☆ (2001, background): “For more information on non-archimedean Fatou and Julia sets, we refer the reader to [1, 2, 3, 5, 6].”
Components and Periodic Points in Non‐Archimedean Dynamics (2002, methodology): “According to the results and conjectures from [3], there should be no wandering domains provided the ®eld K is locally compact (and hence has ®nite residue ®eld k).”
Current trends and open problems in arithmetic dynamics (2018, background): “ physics literature includes several papers [6, 7, 21, 230] that discuss p-adic dynamics for polynomial maps, but the deeper study of p-adic dynamics really took oﬀ with the Ph.D. theses of Benedetto [24, 25] in 1998 and Rivera-Letelier [190, 191] in 2000. The dynamics of iterated p-adic power serie”