On the dimension of invariant measures of endomorphisms of \({\mathbb{C}\mathbb{P}^k}\)

DOI10.1007/S00208-010-0519-1zbMath1221.37040arXiv0809.2710OpenAlexW2018189418MaRDI QIDQ623317

Christophe Dupont

Publication date: 14 February 2011

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

Full work available at URL: https://arxiv.org/abs/0809.2710

zbMATH Keywords

entropyLyapunov exponentsequilibrium measuremaximal entropy measureholomorphic polydiscs

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dimension theory of smooth dynamical systems (37C45)

Related Items (9)

Equilibrium measures on saddle sets of holomorphic maps on \(\mathbb{P }^2\) ⋮ Large entropy measures for endomorphisms of \(\mathbb{CP}^k\) ⋮ Equilibrium states of endomorphisms of \(\mathbb{P}^k\). I: Existence and properties ⋮ On the regularity of the Green current for semi-extremal endomorphisms of \(\mathbb{P}^2\) ⋮ Dimension of ergodic measures and currents on ⋮ Thin annuli property and exponential distribution of return times for weakly Markov systems ⋮ On the measures of large entropy on a positive closed current ⋮ A Distortion Theorem for iterated inverse branches of holomorphic endomorphisms of Pk ⋮ Dynamics of fibered endomorphisms of CP(k)

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