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Rudin-Shapiro sequence，quasi-linear functions and related graphs

发布时间：2025-10-28 作者：浏览次数：

Speaker:	文志雄	DateTime:	2025年10月30日（周四）上午10:40-11:30
Brief Introduction to Speaker: 文志雄教授，华中科技大学。		Place:	国交2号楼201会议室
Abstract:We focus on the limit behavior of the quasi-linear functions, including some k-regular sequences. The limit behavior of the quasi-linear functions is presented through their induced limit functions. We show that these limit functions are continuous and self-similar. Moreover, the graphs of the limit functions are fractal curves. We give an estimation of the upper and lower box dimensions of the graphs of the limit functions. Under certain condition, the exact value of the box dimensions of the graphs of the limit functions is obtained.