Van Cyr

activity

20102026

most citedNonexpansive Z^2 subdynamics and Nivat's conjecture

22 citations · 54 across the 15 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.DS2017★ 16 cited

The automorphism group of a shift of slow growth is amenable

Van Cyr, Bryna Kra

Suppose $(X, σ)$ is a subshift, $P_{X} (n)$ is the word complexity function of $X$ , and $Aut (X)$ is the group of automorphisms of $X$ . We show that if $P_{X} (n) = o (n^{2} / lo g^{2} n)$ , t…

math.DS2017

Positive entropy equilibrium states

Vaughn Climenhaga, Van Cyr

For transitive shifts of finite type, and more generally for shifts with specification, it is well-known that every equilibrium state for a Holder continuous potential has positive…