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Nilrotation

In: Ergodic Theory

Author

Listed:
  • Manfred Einsiedler

    (ETH Zurich, Departement Mathematik)

  • Thomas Ward

    (University of East Anglia, School of Mathematics)

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).

Suggested Citation

  • Manfred Einsiedler & Thomas Ward, 2011. "Nilrotation," Springer Books, in: Ergodic Theory, chapter 0, pages 331-345, Springer.
    • Handle: RePEc:spr:sprchp:978-0-85729-021-2_10
    DOI: 10.1007/978-0-85729-021-2_10
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