Description |
In joint work with Steven Spallone, we consider locally-convergent
analytic mappings over K^{2}, where K is a non-archimedean field.
Our goal is to construct conjugations to polynomial normal forms. In
particular, our focus is on so-called `Semi-hyperbolic' dynamical systems.
We give a full formal and analytic classification, building off earlier formal
work in the complex plane, and analytic work in the one-dimensional
non-archimedean case. The results are in stark contrast to the complex
case.
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