Symbolic approach and induction in the Heisenberg group

Mathematics – Dynamical Systems

Scientific paper

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18 pages

Scientific paper

10.3934/dcds.2012.32.1209

We associate a homomorphism in the Heisenberg group to each hyperbolic
unimodular automorphism of the free group on two generators. We show that the
first return-time of some flows in "good" sections, are conjugate to
niltranslations, which have the property of being self-induced.

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