Dynamics of sub-hyperbolic and semi-hyperbolic rational semigroups and skew products
From MaRDI portal
Publication:2716657
DOI10.1017/S0143385701001286zbMath0993.37022MaRDI QIDQ2716657
Publication date: 24 September 2002
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)
Related Items (18)
Interaction cohomology of forward or backward self-similar systems ⋮ Symbolic template iterations of complex quadratic maps ⋮ Distribution of typical orbits for random dynamics generated by finitely many rational maps ⋮ A degenerate Newton's map in two complex variables: linking with currents ⋮ Structure of Julia sets of polynomial semigroups with bounded finite postcritical set ⋮ Random dynamics of polynomials and Devil's-staircase-like functions in the complex plane ⋮ Transversality family of expanding rational semigroups ⋮ Erratum to ‘Semi-hyperbolic fibered rational maps and rational semigroups’ (Ergodic Theory and Dynamical Systems 26 (2006), 893–922) ⋮ Holomorphic correspondences related to finitely generated rational semigroups ⋮ The space of 2-generator postcritically bounded polynomial semigroups and random complex dynamics ⋮ Cooperation principle, stability and bifurcation in random complex dynamics ⋮ Pointwise Hölder exponents of the complex analogues of the Takagi function in random complex dynamics ⋮ Hereditarily non uniformly perfect non-autonomous Julia sets ⋮ Negativity of Lyapunov exponents and convergence of generic random polynomial dynamical systems and random relaxed Newton's methods ⋮ The equilibrium states for semigroups of rational maps ⋮ Orbit portraits in non-autonomous iteration ⋮ Fibrewise expansive systems ⋮ Dynamics of infinitely generated nicely expanding rational semigroups and the inducing method
This page was built for publication: Dynamics of sub-hyperbolic and semi-hyperbolic rational semigroups and skew products
