A proof of simultaneous linearization with a polylog estimate
Tomoki Kawahira
Abstract
We give an alternative proof of simultaneous linearization recently shown by T.Ueda, which connects the Schröder equation and the Abel equation analytically. Indeed, we generalize Ueda's original result so that we may apply it to the parabolic fixed points with multiple petals. As an application, we show a continuity result on linearizing coordinates in complex dynamics.
Create a lesson
Related papers
A blueprint for the formalization of norm-variation of multiple ergodic averages for commuting transformations
Floris van Doorn, Polona Durcik, Joris Roos et al.
On some aspects of discrete groups acting ergodically on the boundary
Subhadip Dey, Mikołaj Frączyk, Sebastian Hurtado
A Structural Theory of Admissible Transitions in Biological Reaction Networks
Stephan Peter, Bashar Ibrahim
Sequential and distributive dual futile cycle: Hopf bifurcation can occur under parameter-rich kinetics but cannot occur under mass action kinetics
Nicola Vassena
Rigidity on the two-torus and Sarnak's conjecture
Yinshan Chang, Jian Wang, Junchang Zhou
Linear response for random systems with a cusp
Davrbek Oltiboev, Karim Rakhimov, Marks Ruziboev