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math.DS2026
On stationary actions of locally compact groups and their Radon-Nikodym cocycles
Nachi Avraham-Re'em, Michael Björklund
We study stationary actions of locally compact measured groups through the structure and regularity of their Radon-Nikodym cocycles. We start with two dynamical consequences of sta…
math.DS2025
Siegel-Radon transforms of transverse dynamical systems
Michael Björklund, Tobias Hartnick
We extend Helgason's classical definition of a generalized Radon transform, defined for a pair of homogeneous spaces of an lcsc group , to a broader setting in which one of the…
math.DS2023
Dynamics on spaces of quasimorphisms and applications to approximate lattice theory
Michael Björklund, Tobias Hartnick
We study the dynamics of countable groups on their respective spaces of quasimorphisms. For cohomologically non-trivial quasimorphisms we show that there are no invariant measures…