Nilpotent extensions of Furstenberg transformations

DOI10.1007/S11856-011-0053-1zbMath1243.37010OpenAlexW1987234928MaRDI QIDQ636036

Gernot Greschonig

Publication date: 25 August 2011

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

Full work available at URL: https://doi.org/10.1007/s11856-011-0053-1

zbMATH Keywords

cocycleskew-productminimal homeomorphismsnilpotent extension

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (2)

Furstenberg transformations on Cartesian products of infinite-dimensional tori ⋮ Real extensions of distal minimal flows and continuous topological ergodic decompositions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularity of topological cocycles of a class of non-isometric minimal homeomorphisms
• Absolutely continuous cocycles over irrational rotations
• Topological ergodicity of real cocycles over minimal rotations
• A Class of Transitive Cylinder Transformations
• On groups of essential values of topological cylinder cocycles over minimal rotations
• Strict Ergodicity and Transformation of the Torus
• Nilpotent extensions of minimal homeomorphisms

This page was built for publication: Nilpotent extensions of Furstenberg transformations