1 citations · 1 across the 7 of their papers we have counts for
9 papers
A Peter-Weyl theorem for compact group bundles and the geometric representation of relatively ergodic compact extensions
Nikolai Edeko, Asgar Jamneshan, Henrik Kreidler
We show that a relatively ergodic extension of measure-preserving dynamical systems has relative discrete spectrum if and only if it can be represented as a skew-product by a bundl…
The Furstenberg-Zimmer structure theorem for stationary random walks
Nikolai Edeko
We prove the following version of the Furstenberg-Zimmer structure theorem for stationary actions: Any stationary action of a locally compact second-countable group is a weakly mix…
Distal systems in topological dynamics and ergodic theory
Nikolai Edeko, Henrik Kreidler
We generalize a result of Lindenstrauss on the interplay between measurable and topological dynamics which shows that every separable ergodic measurably distal dynamical system has…
A dynamical proof of the van der Corput inequality
Nikolai Edeko, Henrik Kreidler, Rainer Nagel
We provide a dynamical proof of the van der Corput inequality for sequences in Hilbert spaces that is based on the Furstenberg correspondence principle. This is done by reducing th…
A Decomposition Theorem for Unitary Group Representations on Kaplansky-Hilbert Modules and the Furstenberg-Zimmer Structure Theorem
Nikolai Edeko, Markus Haase, Henrik Kreidler
In this paper, a decomposition theorem for (covariant) unitary group representations on Kaplansky-Hilbert modules over Stone algebras is established, which generalizes the well-kno…
Uniform enveloping semigroupoids for groupoid actions
Nikolai Edeko, Henrik Kreidler
We establish new characterizations for (pseudo)isometric extensions of topological dynamical systems. For such extensions, we also extend results about relatively invariant measure…