Recurrence in unipotent groups and ergodic nonabelian group extensions

DOI10.1007/BF02785367zbMath1274.37001OpenAlexW1993275162MaRDI QIDQ2382249

Gernot Greschonig

Publication date: 28 September 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02785367

zbMATH Keywords

Heisenberg groupunipotent matrix

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (3)

On recurrence and ergodicity for geodesic flows on non-compact periodic polygonal surfaces ⋮ Classification of cocycles over ergodic automorphisms with values in the Lorentz group and recurrence of cocycles ⋮ Cocycles over interval exchange transformations and multivalued Hamiltonian flows

Cites Work

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• Ergodicity of cylinder flows arising from irregularities of distribution
• The essential range of a nonabelian cocycle is not a cohomology invariant
• Intertwining operators for semisimple groups
• On recurrence
• Locally compact groups appearing as ranges of cocycles of ergodic ℤ-actions
• On joint recurrence

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