3 papers
math.GR2025
Long relators in groups generated by two parabolic elements
Rotem Yaari
We find a family of groups generated by a pair of parabolic elements in which every relator must admit a long subword of a specific form. In particular, this collection contains gr…
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 and singular substitution dynamical systems
Rotem Yaari
We find sufficient conditions for the singularity of a substitution -action's spectrum, which generalize the conditions given in arXiv:2003.11287, Theorem 2.4, and we a…