报告人:徐剑 教授(华中科技大学)
时间:2026年01月06日 15:00-
地址:理科楼LA104
摘要:Let $\alpha,\beta\in [0,1)=\mathbb{R}/\mathbb{Z}$ such that at least one of them is irrational. It is known that the random $\alpha\beta$-orbits of the Bernoulli mixture of rotations of $\alpha$ and $\beta$ by choosing them with equal probability $\frac{1}{2}$ are uniformly distributed modulo 1 with probability one. We show that the certain sets related to non-dense random $\alpha\beta$-orbits are of Hausdorff dimension 1.
邀请人:孔德荣
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