2 papers
math.CO2026
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…
math.DS2026
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…