22 citations · 54 across the 15 of their papers we have counts for
21 papers
Stable covers of subshifts
Solly Coles, Van Cyr, Bryna Kra +1
Given a dynamical system, a characteristic measure is a Borel probability measure invariant under all of its automorphisms. Frisch and Tamuz asked if every symbolic system supports…
Chaotic almost minimal actions
Van Cyr, Bryna Kra, Scott Schmieding
Motivated by Furstenberg's Theorem on sets in the circle invariant under multiplication by a non-lacunary semigroup, we define a general class of dynamical systems possessing simil…
Strong Approximations of Shifts and the Characteristic Measures Problem
Van Cyr, Bryna Kra, Samuel Petite
Every symbolic system supports a Borel measure that is invariant under the shift, but it is not known if every such systems supports a measure that is invariant under all of its au…
Characteristic measures for language stable subshifts
Van Cyr, Bryna Kra
We consider the problem of when a symbolic dynamical system supports a Borel probability measure that is invariant under every element of its automorphism group. It follows readily…
The complexity threshold for the emergence of Kakutani inequivalence
Van Cyr, Aimee Johnson, Bryna Kra +1
We show that linear complexity is the threshold for the emergence of Kakutani inequivalence for measurable systems supported on a minimal subshift. In particular, we show that ther…
Boshernitzan's condition, factor complexity, and an application
Van Cyr, Bryna Kra
Boshernitzan found a decay condition on the measure of cylinder sets that implies unique ergodicity for minimal subshifts. Interest in the properties of subshifts satisfying this c…