Rotem Yaari

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math.DS2025

Density of finitely supported invariant measures for automorphisms of compact abelian groups

Rotem Yaari

We study the structure of invariant measures for continuous automorphisms of compact metrizable abelian groups satisfying the descending chain condition. We show that the finitely…

math.DS2024

Uniformly distributed orbits in $T^{d}$ and singular substitution dynamical systems

Rotem Yaari

We find sufficient conditions for the singularity of a substitution $Z$ -action's spectrum, which generalize the conditions given in arXiv:2003.11287, Theorem 2.4, and we a…

Density of finitely supported invariant measures for automorphisms of compact abelian groups

Uniformly distributed orbits in Td and singular substitution dynamical systems

Uniformly distributed orbits in $T^{d}$ and singular substitution dynamical systems