Nachi Avraham-Re’em

activity

20202026

most citedOn Absolutely Continuous Invariant Measures and Krieger-Type of Markov Subshifts

6 citations · 9 across the 12 of their papers we have counts for

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math.PR2026

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…

math.PR2022★ 1 cited

Symmetric Stable Processes on Amenable Groups

Nachi Avraham-Re'em

We show that if $G$ is a countable amenable group, then every stationary non-Gaussian symmetric $α$ -stable (S $α$ S) process indexed by $G$ is ergodic if and only if it is weakly-mix…

math.PR2021★ 2 cited

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…