| Abstract: |
| In this talk, I will discuss the dynamics of dominant, meromorphic self-maps of complex manifolds of dimension n > 1. Specifically, I will focus on the situation in which there is an invariant embedded copy of CP^1 that is transversally superattracting and also contains an invariant real circle. I will describe the regularity the of superstable manifolds of this circle and how they relate to properties of the map restricted to a neighborhood of the embedded CP^1. Also, there is a physical interpretation to one of the maps described; I will explain how this is related and how it motivated this work. |
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