Hénon maps: a list of open problems
arXiv:2312.03907
Abstract
We propose a set of questions on the dynamics of Hénon maps from the real, complex, algebraic and arithmetic points of view.
arXiv comment34 pages, 4 figures
References in corpus (21)
- Ruelle-Perron-Frobenius spectrum for Anosov maps
- Takens' last problem and existence of non-trivial wandering domains
- Prime ends rotation numbers and periodic points
- Symbolic dynamics for Lozi maps
- Stability and bifurcations for dissipative polynomial automorphisms of C^2
- Aperiodic invariant continua for surface homeomorphisms
- Abundance of non-uniformly hyperbolic Hénon like endomorphisms
- Enveloppe galoisienne d'une application rationnelle de P1
- Equilibrium States for Center Isometries
- Dynamics of regular birational maps in P^k
- Mildly dissipative diffeomorphisms of the disk with zero entropy
- Automorphisms of the affine 3-space of degree 3
- No elliptic points from fixed prime ends
- Equilibrium states of endomorphisms of II: spectral stability and limit theorems
- Saddle hyperbolicity implies hyperbolicity for polynomial automorphisms of C^2
- Every complex H{é}non map is exponentially mixing of all orders and satisfies the CLT
- The pruning front conjecture, folding patterns and classification of Hénon maps in the presence of strange attractors
- Relation between Hénon maps with biholomorphic escaping sets
- Polynomials with many rational preperiodic points
- Analytic pseudo-rotations
- Local rigidity of Julia sets