On the measures of large entropy on a positive closed current
From MaRDI portal
Publication:2516478
DOI10.1007/s00209-015-1456-1zbMath1342.32021arXiv1402.3396OpenAlexW2047139536MaRDI QIDQ2516478
Henry de Thélin, Gabriel Vigny
Publication date: 3 August 2015
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.3396
Lyapunov exponentsKähler surfacemeromorphic mapdimension of a currentMané's inequalitymeasure of large entropy
Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Currents (32U40)
Related Items (4)
Equilibrium states of endomorphisms of \(\mathbb{P}^k\). I: Existence and properties ⋮ Dimension of ergodic measures and currents on ⋮ A Distortion Theorem for iterated inverse branches of holomorphic endomorphisms of Pk ⋮ A lower bound for the Hausdorff dimension of the Green current
Cites Work
- Pluripolar dynamic currents
- On the dimension of invariant measures of endomorphisms of \({\mathbb{C}\mathbb{P}^k}\)
- An upper bound for the topological entropy of a rational mapping
- Lyapunov exponent and the distribution of the periodic points of an endomorphism of \(\mathbb {CP}^k\)
- Dimension of the equilibrium measure of holomorphic maps
- Large entropy measures for endomorphisms of \(\mathbb{CP}^k\)
- Dynamics semi-conjugated to a subshift for some polynomial mappings in \(\mathbb C^2\)
- On the Lyapunov exponents of meromorphic maps.
- A characterization of Lattès endomorphisms by their Green measure
- A phenomenon of concentration of genus.
- Pointwise dimension, entropy and Lyapunov exponents for $C^{1}$ maps
- Regularization of currents and entropy
- Dynamics in several complex variables: endomorphisms of projective spaces and polynomial-like mapping
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the measures of large entropy on a positive closed current
