6 papers
Genus drop involving non-hyperelliptic curves in Feynman integrals
Feiyu Yang, Jianyu Gong, Yang Zhang
For both theoretical and phenomenological studies, it is important to analyze the function types of Feynman integrals. The phenomenon of genus drop between different representation…
Rational maps with Cantor bubble Julia sets
Xiaole He, Yingqing Xiao, Fei Yang
It has been shown that Cantor bubble Julia sets can appear in the dynamics of polynomials and their singular perturbations. In this paper, we present a criterion that guarantees th…
Local connectivity of Julia sets of some transcendental entire functions with Siegel disks
Fei Yang, Gaofei Zhang, Yanhua Zhang
Based on the weak expansion property of a long iteration of a family of quasi-Blaschke products near the unit circle established recently, we prove that the Julia sets of a number…
Rational maps whose Julia sets are generalized Sierpiński gaskets
Xiaole He, Yingqing Xiao, Fei Yang
It has been shown that the Sierpiński gasket-like sets can appear as the Julia sets of some geometrically finite rational maps. In this paper we prove that such type of Julia sets…
Capture components of cubic Siegel polynomials
Xiaoguang Wang, Fei Yang
Let be an irrational number of bounded type. We prove that all capture components in the parameter space of cubic polynomials , where $a\in\mathbb{C…
Decomposition of rational maps by stable multicurves
Guizhen Cui, Fei Yang, Luxian Yang
A completely stable multicurve of a post-critically finite rational map induces a combinatorial decomposition. The projections of the small Julia sets are immersed within the origi…