2 papers
math.CV2026
Hyperbolic components of cosine family with a fixed critical point
Weiyuan Qiu, Lingrui Wang
We studied the parameter plane of the cosine functions with a fixed critical point. The hyperbolic components can be classified into three types: A, C and D. All the hyperbolic com…
math.CV2025
Bounded Fatou components of cosine functions
Weiyuan Qiu, Lingrui Wang
We constructed Yoccoz puzzle for cosine functions with bounded post-critical set, and proved that a Fatou component is a Jordan domains if it is bounded and is…