Latt\egrave's maps and finite subdivision rules
J. W. Cannon, W. J. Floyd, and W. R. Parry
October 8, 2009
This paper is concerned with realizing Lattès maps as subdivision
maps of finite subdivision rules. The main result is that the
maps in all but finitely many analytic conjugacy classes can be
realized as subdivision maps of finite subdivision rules with one tile
type. An example is given of a Lattès map which is not the subdivision
map of a finite subdivision rule with either i) two tile types
and 1-skeleton of the subdivision complex a circle or ii) one tile type.
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