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| I will talk about our joint work with O. Lanford on the Inou-Shishikura fixed point $f_*$ of the parabolic renormalization operator. In particular, I will discuss a renormalization-invariant class $P$ of parabolic analytic germs $f(z)$ which have a maximal analytic continuation to a Jordan domain, with a specified branched covering structure, which contains the map $f_*$. I will also present a numerical computational scheme for $f_*$. |
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