Abstract
Let (X, T) be a weakly mixing minimal system, p1, …, pd be integer-valued generalized polynomials and (p1, p2, …, pd) be non-degenerate. Then there exists a residual subset X0 of X such that for all x ∈ X0, $$\{({T^{{p_1}(n)}}x, \ldots ,{T^{{p_d}(n)}}x):n \in \mathbb{Z}\}$$ is dense in Xd.
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