Some properties of 2-critically finite holomorphic maps of ${\bf P}^2$

DOI10.1017/S0143385798097521zbMath0915.58080OpenAlexW2158982907MaRDI QIDQ4236260

Mattias Jonsson

Publication date: 5 July 1999

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385798097521

zbMATH Keywords

invariant setsJulia setsinvariant measurerepelling periodic points

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (10)

Post-critically finite maps on ℙⁿ for 𝕟≥2 are sparse ⋮ Algebraic webs invariant under endomorphisms ⋮ Periodic points of post-critically algebraic holomorphic endomorphisms ⋮ Structure of Julia sets for post-critically finite endomorphisms on \(\mathbb{P}^2\) ⋮ Teichmüller theory and critically finite endomorphisms ⋮ Periodic points of weakly post-critically finite all the way down maps ⋮ The Fatou set for critically finite maps ⋮ Lattès maps on \(\mathbb P^2\) ⋮ Dynamics of post-critically finite maps in higher dimension ⋮ Symmetrization of rational maps: Arithmetic properties and families of Lattès maps of ℙ^{𝕜}

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