Abstract
We introduce rotations on quotients of nilpotent groups by studying the important example of the continuous Heisenberg group, and characterising unique ergodicity for an example. We give two different proofs of this, one introducing the important notion of divergence for orbits (a form of the H-principle of Ratner).
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© 2011 Springer-Verlag London Limited
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Einsiedler, M., Ward, T. (2011). Nilrotation. In: Ergodic Theory., vol 259. Springer, London. https://doi.org/10.1007/978-0-85729-021-2_10
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DOI: https://doi.org/10.1007/978-0-85729-021-2_10
Publisher Name: Springer, London
Print ISBN: 978-0-85729-020-5
Online ISBN: 978-0-85729-021-2
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