Large entropy measures for endomorphisms of \(\mathbb{CP}^k\)

DOI10.1007/s11856-012-0038-8zbMath1316.37026arXiv0911.4675OpenAlexW2042244808MaRDI QIDQ1936807

Christophe Dupont

Publication date: 7 February 2013

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

Full work available at URL: https://arxiv.org/abs/0911.4675

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)

Related Items (13)

Attracting currents and equilibrium measures for quasi-attractors of \(\mathbb {P}^k\) ⋮ Study of hyperbolic measures for meromorphic maps ⋮ Fine inducing and equilibrium measures for rational functions of the Riemann sphere ⋮ On the dimension of invariant measures of endomorphisms of \({\mathbb{C}\mathbb{P}^k}\) ⋮ Equilibrium states of endomorphisms of \(\mathbb{P}^k\). I: Existence and properties ⋮ Stochastics and thermodynamics for equilibrium measures of holomorphic endomorphisms on complex projective spaces ⋮ Dimension of ergodic measures and currents on ⋮ Hyperbolic measure of maximal entropy for generic rational maps of \(\mathbb P^k\) ⋮ Codimension-one attracting sets in ⋮ On the measures of large entropy on a positive closed current ⋮ A Distortion Theorem for iterated inverse branches of holomorphic endomorphisms of Pk ⋮ A lower bound for the Hausdorff dimension of the Green current ⋮ A semi-continuity theorem for the entropy of meromorphic maps

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