2 papers
math.DS2025
More stability and convergence results for higher-order Wiener-Wintner systems
Jacob Folks
"Higher-order Wiener-Wintner averages" were constructed by Assani, Folks, and Moore to quantitatively control multiple recurrence averages. Systems in which these averages converge…
math.DS2025
Higher Order Wiener-Wintner systems: examples and applications
Idris Assani, Jacob Folks, Ryo Moore
We will construct ``higher-dimensional" versions of the Wiener-Wintner dynamical system that was originally studied by I. Assani in 2003. We will show that on these systems we can…