28 citations · 166 across the 25 of their papers we have counts for
25 papers
Multifractal Analysis of generalized Thue-Morse trigonometric polynomials
Aihua Fan, Jörg Schmeling, Weixiao Shen
We consider the generalized Thue-Morse sequences ( being a parameter) defined by , where is the sum of di…
The wandering domain problem for attracting polynomial skew products
Zhuchao Ji, Weixiao Shen
Wandering Fatou components were recently constructed by Astorg et al for higher-dimensional holomorphic maps on projective spaces. Their examples are polynomial skew products with…
Low complexity of optimizing measures over an expanding circle map
Rui Gao, Weixiao Shen
In this paper, we prove that for real analytic expanding circle maps, all optimizing measures of a real analytic potential function have zero entropy, unless the potential is cohom…
Bohr chaoticity of topological dynamical systems
Aihua Fan, Shilei Fan, Valery Ryzhikov +1
We introduce the notion of Bohr chaoticity, which is a topological invariant for topological dynamical systems, and which is opposite to the property required by Sarnak's conjectur…
Primitive tuning via quasiconformal surgery
Weixiao Shen, Yimin Wang
Using quasiconformal surgery, we prove that any primitive, postcritically-finite hyperbolic polynomial can be tuned with an arbitrary generalized polynomial with non-escaping criti…
A Dichotomy for the Weierstrass-type functions
Haojie Ren, Weixiao Shen
For a real analytic periodic function , an integer and , we prove the following dichotomy for the Weierstrass-type function $W(x)…