4 papers
A structure theorem for polynomial return-time sets in minimal systems
Daniel Glasscock, Andreas Koutsogiannis, Anh N. Le +3
We investigate the structure of return-time sets determined by orbits along polynomial tuples in minimal topological dynamical systems. Building on the topological characteristic f…
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…
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…
Additive and geometric transversality of fractal sets in the integers
Daniel Glasscock, Joel Moreira, Florian K. Richter
By juxtaposing ideas from fractal geometry and dynamical systems, Furstenberg proposed a series of conjectures in the late 1960's that explore the relationship between digit expans…