2 papers
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.DS2024
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…