3 papers
math.DS2025
Non-existence of wandering intervals for asymmetric unimodal maps
Jorge Olivares-Vinales, Weixiao Shen
We prove that an asymmetric unimodal map has no wandering intervals.
math.DS2025
Typicality of periodic optimization over an expanding circle map
Rui Gao, Weixiao Shen, Ruiqin Zhang
We study the ergodic optimization problem over a real analytic expanding circle map. We show that in both the topological and the measure-theoretical senses, a typical perfor…
math.CA2024
The high-dimensional Weierstrass functions
Haojie Ren, Weixiao Shen
For a real analytic periodic function , an integer and , we prove that the box dimension and the Hausdorff dimension of the grap…