When do two rational functions have the same Julia set?
From MaRDI portal
Publication:4339203
DOI10.1090/S0002-9939-97-03810-0zbMath0870.58085OpenAlexW1567171395WikidataQ123230380 ScholiaQ123230380MaRDI QIDQ4339203
Feliks Przytycki, Genadi Levin
Publication date: 5 June 1997
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03810-0
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Dynamical systems over complex numbers (37F99)
Related Items
Symmetries of Julia sets for rational maps, Rigidity of Julia sets of families of biholomorphic mappings in higher dimensions, On rational functions sharing the measure of maximal entropy, On amenable semigroups of rational functions, Quasisymmetries of Sierpiński carpet Julia sets, A rigidity theorem for Hénon maps, On amenability and measure of maximal entropy for semigroups of rational maps: II, Dynamics on ℙ1: preperiodic points and pairwise stability, Preperiodic points and unlikely intersections, Quasisymmetric geometry of Sierpiński carpet Julia sets, Rational functions with identical measure of maximal entropy, Sur les endomorphismes polynomiaux permutables de \({\mathbb C}^2\). (On the commuting polynomial endomorphisms of \({\mathbb C}^2\)), Remark on functions having the same Julia set, Some problems of arithmetic origin in rational dynamics, Rational functions with linear relations, ALTERNATED JULIA SETS AND CONNECTIVITY PROPERTIES, Amenability and measure of maximal entropy for semigroups of rational maps, Common preperiodic points for quadratic polynomials, When do two rational functions have locally biholomorphic Julia sets?
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hausdorff dimension of harmonic measure on the boundary of an attractive basin for a holomorphic map
- Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
- Complex dynamics
- A proof of Thurston's topological characterization of rational functions
- Riemann map and holomorphic dynamics
- Symmetries on the Julia set
- Symmetries of Julia Sets
- A note on the julia set of polynomials
- An invariant measure for rational maps
- A problem of Julia sets
- An inequality for the entropy of differentiable maps
- Some properties of absolutely continuous invariant measures on an interval
- Poiynomials with identical Julia sets
- CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
