Stability and bifurcations in projective holomorphic dynamics (Q4565188)

scientific article; zbMATH DE number 6882532

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English	Stability and bifurcations in projective holomorphic dynamics	scientific article; zbMATH DE number 6882532

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instance of

scholarly article

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title

Stability and bifurcations in projective holomorphic dynamics (English)

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Banach Center Publications

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publication date

8 June 2018

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full work available at URL

https://semanticscholar.org/paper/fdeda7fd5750f14d31e36083369158746e06081f

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zbMATH Keywords

holomorphic dynamics, dynamical stability, positive currents, Lyapunov exponents

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MaRDI profile type

MaRDI publication profile

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cites work

Higher bifurcations for polynomial skew products

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Bifurcation currents in holomorphic dynamics on

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Perturbations of examples of Lattès and Hausdorff dimension of bifurcation place

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Lyapunov exponent and the distribution of the periodic points of an endomorphism of $\mathbb {CP}^k$

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Q4797607

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Two characterizations of equilibrium measure of an endomorphism of $P^k(\mathbb{C})$

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Normalization of bundle holomorphic contractions and applications to dynamics

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Bifurcation Currents in Holomorphic Families of Rational Maps

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Repulsive cycles bifurcate in chains

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Perturbations of flexible Lattès maps

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Misiurewicz parameters and dynamical stability of polynomial-like maps of large topological degree

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Lattès maps and the interior of the bifurcation locus

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Invariant sets under iteration of rational functions

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Bifurcations in the elementary Desboves family

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Dynamics of rational maps: Lyapunov exponents, bifurcations, and capacity

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Bifurcation currents and equidistribution on parameter space

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Non-density of stability for holomorphic mappings on $\mathbb{P}^k$

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An invariant measure for rational maps

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Hyperbolic components of rational maps: quantitative equidistribution and counting

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Hölder continuity property of filled-in Julia sets in $\mathbb \{C\}^n$

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Some typical properties of the dynamics of rational maps

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Q3322903

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Q4810395

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The dimension of the maximal measure for a polynomial map

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Geometry and Dynamics of Quadratic Rational Maps

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On the dynamics of rational maps

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Repelling periodic points and logarithmic equidistribution in non-archimedean dynamics

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Hausdorff dimension of harmonic measure on the boundary of an attractive basin for a holomorphic map

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The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets

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Blenders near polynomial product maps of $\mathbb{C}^2$

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Hausdorff dimension of subsets of the parameter space for families of rational maps. (A generalization of Shishikura's result)

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Identifiers

zbMATH Open document ID

1407.32008

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DOI

10.4064/bc115-2

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:4565188