4 citations · 12 across the 6 of their papers we have counts for
11 papers
Lamplighters admit weakly aperiodic SFTs
David Bruce Cohen
Let be a finite set and a group. A closed subset of is called a subshift if the action of on preserves . If is a closed subset of such that…
Continuous cocycle superrigidity for the full shift over a finitely generated torsion group
David Bruce Cohen
Chung and Jiang showed that, if a one ended group contains an infinite order element, then every continuous cocycle over the full shift on that group, taking values in a discrete g…
Strongly aperiodic subshifts of finite type on hyperbolic groups
David Bruce Cohen, Chaim Goodman-Strauss, Yo'av Rieck
We prove that a hyperbolic group admits a strongly aperiodic subshift of finite type if and only if it has at most one end.
Translation-like actions of nilpotent groups
David Bruce Cohen, Mark Pengitore
We give a new obstruction to translation-like actions on nilpotent groups. Suppose we are given two finitely generated torsion free nilpotent groups with the same degree of polynom…
Lipschitz 1-connectedness for some solvable Lie groups
David Bruce Cohen
A space X is said to be Lipschitz 1-connected if every L-Lipschitz loop in X bounds a O(L)-Lipschitz disk. A Lipschitz 1-connected space admits a quadratic isoperimetric inequality…
A counterexample to the easy direction of the geometric Gersten conjecture
David Bruce Cohen
For finitely generated groups H and G, equipped with word metrics, a translation-like action of H on G is a free action such that each element of H acts by a map which has finite d…