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…
Metric uniform distribution on analytic curves
Vitaly Bergelson, Joel Moreira
We obtain multidimensional metric uniform distribution results involving sequences in parametrized by analytic curves. Our theorems extend the classical theorems of…
Interpolation sets for dynamical systems
Andreas Koutsogiannis, Anh N. Le, Joel Moreira +2
Originating in harmonic analysis, interpolation sets were first studied in dynamics by Glasner and Weiss in the 1980s. A set is an interpolation set for a cl…
Averages of completely multiplicative functions over the Gaussian integers -- a dynamical approach
Sebastián Donoso, Anh N. Le, Joel Moreira +1
We prove a pointwise convergence result for additive ergodic averages associated with certain multiplicative actions of the Gaussian integers. We derive several applications in dyn…