10 papers
Asymmetry of -cohomology via skewed Følner geometry
Nachi Avraham-Re'em, Zemer Kosloff
We study the two -Dirichlet structures on a countable group arising from the left and right regular actions on . Although the two regular representati…
Wasserstein stability and the nonsingular Borel lifting problem
Nachi Avraham-Re'em, George Peterzil
The Borel lifting problem asks when a nonsingular near action of a Polish group can be represented by a genuine Borel action. For locally compact Polish groups, a classical theorem…
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…
Locally integrable cross sections and their intersection covolume
Nachi Avraham-Re'em, Michael Björklund, Rickard Cullman
We study systematically cross sections of probability preserving actions of unimodular groups and their associated transverse measures, and introduce the invariant \emph{intersecti…
The Hopf decomposition of locally compact group actions
Nachi Avraham-Re'em, George Peterzil
We develop a unified approach to the classical Hopf Decomposition (also known as the conservative--dissipative decomposition) for actions of locally compact second countable groups…
Ergodicity and weak mixing for group-indexed infinitely divisible stationary processes
Nachi Avraham-Re'em, Emmanuel Roy
We prove that for an arbitrary indexing group, every ergodic infinitely divisible stationary process that is separable in probability is weakly mixing. This shows that, as in the w…