Anh N. Le

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20242026

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math.CO2026

The local dynamical structure of $Δ^{*}$ 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…

math.DS2026

On sets of pointwise recurrence and dynamically thick sets

Daniel Glasscock, Anh N. Le

A set $A \subseteq N$ is a set of pointwise recurrence if for all minimal dynamical systems $(X, T)$ , all $x \in X$ , and all open neighborhoods $U \subseteq X$ of $x$ , the…

The local dynamical structure of Δ∗ sets via a new Furstenberg family algebra

The regionally proximal relation for commutative semigroup actions

On sets of pointwise recurrence and dynamically thick sets

The local dynamical structure of $Δ^{*}$ sets via a new Furstenberg family algebra