Periodicities in Linear Fractional Recurrences: Degree growth of birational surface maps

Details Periodicities in Linear Fractional Recurrences: Degree growth of birational surface maps Periodicities in Linear Fractional Recurrences: Degree growth of birational surface maps

2005-09-27

arxiv.org/abs/math/0509645v1

Mathematics

Dynamical Systems

Scientific paper

We consider the set of all 2-step recurrences (difference equations) that are
given by linear fractional maps. These give birational maps of the plane. We
determine the degree growth of these birational maps. We find the all the maps
in this family that are periodic. This also leads to new surface automorphisms
with positive entropy.

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