3 papers
math.DS2026
Critical set for surface diffeomorphisms revisited
Sylvain Crovisier, Enrique Pujals
We propose a notion of critical set for two-dimensional surface diffeomorphisms as an intrinsically defined object designed to play a role analogous to that of critical points in o…
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…