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math.DS2026
Saturation for product systems of polynomials
Qinqi Wu, Jiaqi Yu
Recently, Qiu, Xu, Ye and Yu proved that for product system of finitely many minimal systems, the maximal -step pro-nilfactor of the system is the topological characteristi…
math.DS2025
CF-Nil systems and convergence of two-dimensional ergodic averages
Kangbo Ouyang, Qinqi Wu
A topological dynamical system is called CF-Nil() if it is strictly ergodic and the maximal measurable and maximal topological -step pro-nilfactors coincide as measur…