演講者:賴冠宇博士
國立政治大學應用數學系
日 期:2025 年 02 月 19 日(星期三)13:30
地 點:國立高雄大學理學院 408 室
講 題:Hausdorff dimensions of Beatty multiple shifts
摘 要:
In this talk, the Beatty multiple shift is introduced, which is a generalization of the multiplicative shift of finite type (multiple SFT) [Kenyon, Peres and Solomyak, Ergodic Theory and Dynamical Systems, 2012] and the affine multiple shift [Ban, Hu, Lai and Liao, arXiv:2402.18822, 2024]. The Hausdorff and Minkowski dimension formulas are obtained, and the coefficients of the formula is closely related to the classical disjoint covering of the positive integers in number theory.