2 papers
math.DS2026
On the Global Curve Attractor for polynomial gluing
Panjing Wu
Pilgrim's Finite Global Attractor Conjecture has been verified for polynomials [2], but remains open for general rational maps. In this paper, we prove the conjecture for a family…
math.DS2025
Gluing polynomials along the circle
Panjing Wu, Gaofei Zhang
Gluing is a cut and paste construction where the dynamics of a map in a given domain is replaced by a different one, under the condition that the two agree along the gluing curve.…