Matthieu Arfeux
Published 2014-06-24, updated 2017-09-13Version 2
We introduce the notion of dynamically marked rational maps. We study sequences of analytic conjugacy classes of rational maps which diverge in moduli space. In particular, we are interested in the notion of rescaling limits introduced by Jan Kiwi. In order to deal with those, we introduce the notion of dynamical covers between trees of spheres for which a periodic sphere corresponds to a rescaling limit. We then recover results of Jan Kiwi regarding rescaling limits.
Approximability of dynamical systems between trees of spheres
Cyclic stabilizers and infinitely many hyperbolic orbits for pseudogroups on (C,0)
Lattes maps and finite subdivision rules
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