6 citations · 9 across the 12 of their papers we have counts for
8 papers · 1 filter
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…
Periodicity of point processes in abelian groups without lattices
Nachi Avraham-Re'em, Michael Björklund, Rickard Cullman
We investigate the intersection covolume of cross sections for probability preserving actions of a class of abelian groups without lattices, including -adic groups and the group…
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…
Uncountable Hyperfiniteness and The Random Ratio Ergodic Theorem
Nachi Avraham-Re'em, George Peterzil
We show that the orbit equivalence relation of a free action of a locally compact group is hyperfinite (à la Connes-Feldman-Weiss) precisely when it is 'hypercompact'. This implies…
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…
Poissonian Actions of Polish Groups
Nachi Avraham-Re'em, Emmanuel Roy
We define and study Poissonian actions of Polish groups as a framework to Poisson suspensions, characterize them spectrally, and provide a complete characterization of their ergodi…
On Absolutely Continuous Invariant Measures and Krieger-Type of Markov Subshifts
Nachi Avraham-Re'em
It is shown that for a non-singular conservative shift on a topologically mixing Markov subshift with Doeblin Condition the only possible absolutely continuous shift-invariant meas…