S. Machado

collaborators

2 papers

math.DS2026

The Structure of Almost Stationary Measures

Ilya Gekhtman, Simon Machado, Omri Solan +1

Let $G$ be a higher-rank simple Lie group acting on a space $X$ . A theorem of Nevo and Zimmer asserts that every ergodic stationary probability measure on $X$ is either $G$ -invaria…

math.DS2026

The non-ergodic Host-Kra-Ziegler structure theorem for $Z^{d}$ -actions via measurable selections

Asgar Jamneshan, Simon Machado

We establish a non-ergodic version of the Host-Kra-Ziegler structure theorem for measure-preserving $Z^{d}$ -actions. Our argument reduces the non-ergodic case to the ergodic…

The Structure of Almost Stationary Measures

The non-ergodic Host-Kra-Ziegler structure theorem for Zd-actions via measurable selections

The non-ergodic Host-Kra-Ziegler structure theorem for $Z^{d}$ -actions via measurable selections