6 citations · 9 across the 12 of their papers we have counts for
12 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…
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…
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…
Symmetric Stable Processes on Amenable Groups
Nachi Avraham-Re'em
We show that if is a countable amenable group, then every stationary non-Gaussian symmetric -stable (SS) process indexed by is ergodic if and only if it is weakly-mix…
Equivalence-Singularity Dichotomy in Markov Measures
Nachi Avraham-Re'em
We establish an equivalence-singularity dichotomy for a large class of one-dimensional Markov measures. Our approach is new in that we deal with one-sided and two-sided chains simu…
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…