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arXiv:1112.2945 [math.DS]AbstractReferencesReviewsResources

Symbolic approach and induction in the Heisenberg group

Jean-François Bertazzon

Published 2011-12-13Version 1

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.

Comments: 18 pages
Journal: Discrete and Continuous Dynamical Systems - Series A (DCDS-A) Pages: 1209 - 1229, Volume 32, Issue 4, April 2012
Categories: math.DS
Subjects: 28D10, 37C55
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