5 papers
The local dynamical structure of sets via a new Furstenberg family algebra
Angelina Blahodatna, Lauren Detmold, Daniel Glasscock +1
In this paper, we strengthen the connection between the combinatorics of difference sets and the dynamics of group rotations. Our main result shows that sets which have non-empty i…
The regionally proximal relation for commutative semigroup actions
Angelina Blahodatna, Lauren Detmold, Daniel Glasscock +1
The regionally proximal and equicontinuous structure relations are fundamental relations in topological dynamics that capture the equicontinuous behavior in a topological dynamical…
On sets of pointwise recurrence and dynamically thick sets
Daniel Glasscock, Anh N. Le
A set is a set of pointwise recurrence if for all minimal dynamical systems , all , and all open neighborhoods of , the…
On subshifts with low maximal pattern complexity
Anh N. Le, Ronnie Pavlov, Casey Schlortt
For a finite alphabet and a sequence , Kamae and Zamboni defined the maximal pattern complexity function as a natural gener…
Dynamically syndetic sets and the combinatorics of syndetic, idempotent filters
Daniel Glasscock, Anh N. Le
A subset of the positive integers is dynamically central syndetic if it contains the times that a point returns to a neighborhood of itself in a minimal topological dynamical syste…