Real analyticity of Hausdorff dimension for expanding rational semigroups
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Publication:3558042
DOI10.1017/S0143385709000297zbMath1185.37110arXiv0707.2447OpenAlexW2963656811MaRDI QIDQ3558042
Publication date: 29 April 2010
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.2447
Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
Related Items (9)
Interaction cohomology of forward or backward self-similar systems ⋮ Transversality family of expanding rational semigroups ⋮ The space of 2-generator postcritically bounded polynomial semigroups and random complex dynamics ⋮ Cooperation principle, stability and bifurcation in random complex dynamics ⋮ Super-exponential convergence of Gibbs states in iterated schemes lattice models ⋮ The failure of Ruelle's property for entire functions ⋮ 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 ⋮ Dynamical properties and structure of Julia sets of postcritically bounded polynomial semigroups
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