Fractality and Differentiability of Weierstrass-type functions
来源:
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发布时间:2026-08-04
报告时间:
2026年8月4日 (周二)下午15:30-16:30
报告地点:
国交二号楼315会议室
报告人:
罗军
报告人单位:
重庆大学
邀请人:
付小叶
摘要:
This talk presents recent progress on the Hausdorff dimension of multivariate Weierstrass-type functions with random phases on higher-dimensional tori, extending earlier results from the one-dimensional case. It then addresses the differentiability of a class of multivariate Weierstrass-type functions, establishing that differentiability is equivalent to the convergence of the associated ergodic series.