Dynamics of low-degree rational inner skew-products on $\mathbb{T}^2$
From MaRDI portal
Publication:5089685
DOI10.4064/ap211108-28-2zbMath1506.37065arXiv2109.03437OpenAlexW3198891519MaRDI QIDQ5089685
Alan A. Sola, Ryan Tully-Doyle
Publication date: 15 July 2022
Published in: Annales Polonici Mathematici (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.03437
Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Higher-dimensional holomorphic and meromorphic dynamics (37F80)
Related Items (2)
Denjoy-Wolff points on the bidisk via models ⋮ A note on polydegree \((n, 1)\) rational inner functions, slice matrices, and singularities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Carathéodory theorem for the bidisk via Hilbert space methods
- The Julia-Wolff-Carathéodory theorem in polydisks
- Dynamics of polynomial skew products on \(\mathbb{C}^2\)
- Complex dynamics
- Monomial maps in two dimensions
- Sur les fonctions de plusieurs variables complexes. L'itération des transformations intérieures d'un domaine borné
- Polynomial skew-products in dimension 2: bulging and wandering Fatou components
- Toral algebraic sets and function theory on polydisks
- Valiron and Abel equations for holomorphic self-maps of the polydisc
- Polynomials defining distinguished varieties
- Integrability and regularity of rational functions:
- Two-dimensional Blaschke products: degree growth and ergodic consequences
- Derivatives of rational inner functions: geometry of singularities and integrability at the boundary
- Complete spectral data for analytic Anosov maps of the torus
- A weak notion of visibility, a family of examples, and Wolff-Denjoy theorems
- Level curve portraits of rational inner functions
- Singularities of rational inner functions in higher dimensions
- Wolff–Denjoy theorems in geodesic spaces
- Analytic functions on the bidisk at boundary singularities via Hilbert space methods
- Dynamics of two-dimensional Blaschke products
- Dynamics in several complex variables: endomorphisms of projective spaces and polynomial-like mapping
- Dynamics in One Complex Variable. (AM-160)
- Itération des transformations analytiques dans le bicercle-unité
This page was built for publication: Dynamics of low-degree rational inner skew-products on $\mathbb{T}^2$