536 citations · 1.4k across the 67 of their papers we have counts for
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Homomorphisms to of automorphism groups of zero entropy shifts
Omer Tamuz
We show that the automorphism group of every zero entropy infinite shift admits a "drift" homomorphism to that maps the shift map to 1. This homomorphism arises as…
Characteristic measures of symbolic dynamical systems
Joshua Frisch, Omer Tamuz
A probability measure is a characteristic measure of a topological dynamical system if it is invariant to the automorphism group of the system. We show that zero entropy shifts alw…
Weak equivalence of stationary actions and the entropy realization problem
Peter Burton, Martino Lupini, Omer Tamuz
We introduce the notion of weak containment for stationary actions of a countable group and define a natural topology on the space of weak equivalence classes. We prove that Furste…
Normal amenable subgroups of the automorphism group of the full shift
Joshua Frisch, Tomer Schlank, Omer Tamuz
We show that every normal amenable subgroup of the automorphism group of the full shift is contained in its center. This follows from the analysis of this group's Furstenberg topol…
Symbolic dynamics on amenable groups: the entropy of generic shifts
Joshua Frisch, Omer Tamuz
Let be a finitely generated amenable group. We study the space of shifts on over a given finite alphabet . We show that the zero entropy shifts are generic in this space…
Stabilizer Rigidity in Irreducible Group Actions
Yair Hartman, Omer Tamuz
We consider irreducible actions of locally compact product groups, and of higher rank semi-simple Lie groups. Using the intermediate factor theorems of Bader-Shalom and Nevo-Zimmer…