Lyapunov exponents, bifurcation currents and laminations in bifurcation loci

DOI10.1007/s00208-008-0325-1zbMath1179.37067arXiv0801.2590OpenAlexW2009148561MaRDI QIDQ834770

François Berteloot, Giovanni Bassanelli

Publication date: 27 August 2009

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.2590

zbMATH Keywords

bifurcationLyapunov exponentsmoduli spacerational maps

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (14)

Distribution of postcritically finite polynomials. II: Speed of convergence ⋮ Equidistribution towards the bifurcation current. I: Multipliers and degree \(d\) polynomials ⋮ On the geometry of bifurcation currents for quadratic rational maps ⋮ 𝜆-lemma for families of Riemann surfaces and the critical loci of complex Hénon maps ⋮ Distribution of postcritically finite polynomials ⋮ Hyperbolic components of rational maps: quantitative equidistribution and counting ⋮ Geometric methods in holomorphic dynamics ⋮ Hyperbolicity and Bifurcations in holomorphic families of polynomial skew products ⋮ The supports of higher bifurcation currents ⋮ Distribution of polynomials with cycles of a given multiplier ⋮ Perturbations of flexible Lattès maps ⋮ Random walks, Kleinian groups, and bifurcation currents ⋮ Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of CP(k) ⋮ Equidistribution of rational functions having a superattracting periodic point towards the activity current and the bifurcation current

Cites Work

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