For each well approximable irrational $\theta$, we provide an explicit rank-one construction of the $e^{2\pi i\theta}$-rotation $R_\theta$ on the circle $\mathbb{T}$. This solves "almost surely" a problem by del Junco. For every irrational $\theta$, we construct explicitly a rank-one transformation with an eigenvalue $e^{2\pi i\theta}$. Based on joint work with my scientific tutor Alexandre I. Danilenko.
Meeting ID: 852 4277 3200 Passcode: 103121