Volume entropy for surface groups via Bowen-Series like maps

Details Volume entropy for surface groups via Bowen-Series like maps Volume entropy for surface groups via Bowen-Series like maps

2009-08-25

arxiv.org/abs/0908.3537v1

Mathematics

Dynamical Systems

Scientific paper

We define a Bowen-Series like map for every geometric presentation of a
co-compact surface group and we prove that the volume entropy of the
presentation is the topological entropy of this particular (circle) map.
Finally we find the minimal volume entropy among geometric presentations.

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