3 papers
math.DS2024
A Priori Bounds for Hénon-like Renormalization
Sylvain Crovisier, Mikhail Lyubich, Enrique Pujals +1
We formulate and prove bounds for the renormalization of Hénon-like maps (under certain regularity assumptions). This provides a certain uniform control on the…
math.DS2024
Quantitative Estimates on Invariant Manifolds for Surface Diffeomorphisms
Sylvain Crovisier, Mikhail Lyubich, Enrique Pujals +1
We carry out a detailed quantitative analysis on the geometry of invariant manifolds for smooth dissipative systems in dimension two. We begin by quantifying the regularity of any…
math.DS2024
On Regular Hénon-like Renormalization
Jonguk Yang
We develop a renormalization theory of non-perturbative dissipative Hénon-like maps with combinatorics of bounded type. The main novelty of our approach is the incorporation of Pe…