Dynamics of polynomial semigroups: measures, potentials, and external fields
DOI10.1007/s11854-022-0216-5zbMath1506.37068arXiv2004.02792OpenAlexW3014913651MaRDI QIDQ2089916
Publication date: 24 October 2022
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.02792
Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps (37F44) Finely holomorphic functions and topological function theory (30G12)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniformly perfect sets and the Poincaré metric
- Julia sets of rational semigroups
- Products of random matrices: a dynamical point of view
- Invariant sets under iteration of rational functions
- Equidistribution for meromorphic transforms and the \(\mathrm{dd}^c\)-method
- Distribution of the values of meromorphic transformations and applications
- Continuous Potentials and Linear Mass Distributions
- ON UNIFORMLY PERFECT SETS AND FUCHSIAN CROUPS
- THE IMMEDIATE BASIN OF ATTRACTION OF INFINITY FOR POLYNOMIAL SEMIGROUPS OF FINITE TYPE
- An invariant measure for finitely generated rational semigroups
- Uniformly perfect sets, rational semigroups, Kleinian groups and IFS’s
- Skew product maps related to finitely generated rational semigroups
- Holomorphic correspondences related to finitely generated rational semigroups
- The Dynamics of Semigroups of Rational Functions I
This page was built for publication: Dynamics of polynomial semigroups: measures, potentials, and external fields
