Distribution of postcritically finite polynomials

DOI10.1007/s11856-015-1218-0zbMath1352.37202arXiv1302.0810OpenAlexW2153980857MaRDI QIDQ891156

Charles Favre, Thomas Gauthier

Publication date: 16 November 2015

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.0810

zbMATH Keywords

attracting cyclesbifurcation measureEpstein's transversalityhyperbolic parametersMisiurewicz parameters

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)

Related Items

Distribution of postcritically finite polynomials. II: Speed of convergence ⋮ The dynamical Manin-Mumford problem for plane polynomial automorphisms ⋮ Hyperbolic components of rational maps: quantitative equidistribution and counting ⋮ Dynamical pairs with an absolutely continuous bifurcation measure ⋮ Misiurewicz polynomials and dynamical units, part I ⋮ Geometric methods in holomorphic dynamics ⋮ Hyperbolicity and Bifurcations in holomorphic families of polynomial skew products ⋮ Quasi-adelic measures and equidistribution on ⋮ Distribution of postcritically finite polynomials III: Combinatorial continuity ⋮ DEGENERATION OF ENDOMORPHISMS OF THE COMPLEX PROJECTIVE SPACE IN THE HYBRID SPACE ⋮ Transversality for Critical Relations of Families of Rational Maps: An Elementary Proof ⋮ Transversality in the setting of hyperbolic and parabolic maps ⋮ Some problems of arithmetic origin in rational dynamics ⋮ The bifurcation measure has maximal entropy ⋮ Cubic post-critically finite polynomials defined over ℚ ⋮ Bifurcation measures and quadratic rational maps

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