Geometry, electrostatic measure and orthogonal polynomials on Julia sets for polynomials
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Publication:3681320
DOI10.1017/S0143385700002108zbMath0566.41033OpenAlexW2149281414WikidataQ121359488 ScholiaQ121359488MaRDI QIDQ3681320
Andrew N. Harrington, Jeffrey S. Geronimo, Michael F. Barnsley
Publication date: 1983
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0143385700002108
Padé approximation (41A21) Capacity and harmonic measure in the complex plane (30C85) Dynamical systems and ergodic theory (37-XX)
Related Items (14)
Infinite-Dimensional Jacobi Matrices Associated with Julia Sets ⋮ Renormalization of random Jacobi operators ⋮ Function weighted measures and orthogonal polynomials on Julia sets ⋮ Julia sets for certain rational functions ⋮ Moments of Balanced Measures on Julia Sets ⋮ Complex analytic dynamics on the Riemann sphere ⋮ Widom factors and Szegő-Widom asymptotics, a review ⋮ Condensed Julia Sets, with an Application to a Fractal Lattice Model Hamiltonian ⋮ Julia sets of orthogonal polynomials ⋮ Cantor polynomials and some related classes of OPRL ⋮ Unnamed Item ⋮ Almost periodic Jacobi matrices associated with Julia sets for polynomials ⋮ Block orthogonal systems for symmetric \(P\)-forms ⋮ Geometry and combinatorics of Julia sets of real quadratic maps
Cites Work
- Unnamed Item
- Orthogonality properties of iterated polynomial mappings
- Some tree-like Julia sets and Padé approximants
- On the invariant sets of a family of quadratic maps
- Orthogonal polynomials on a family of Cantor sets and the problem of iterations of quadratic mappings
- Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
- Invariant sets under iteration of rational functions
- Infinite-Dimensional Jacobi Matrices Associated with Julia Sets
- The Diophantine moment problem and the analytic structure in the activity of the ferromagnetic Ising model
- Orthogonal polynomials associated with invariant measures on Julia sets
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