Laminar currents and birational dynamics
type: Item
instance of: scholarly article
title: Laminar currents and birational dynamics
zbMATH Open document ID: 1099.37037
DOI: 10.1215/S0012-7094-06-13122-8
author: Romain Dujardin
published in: Duke Mathematical Journal
publication date: 2006-09-06T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0409557
full work available at URL: https://projecteuclid.org/euclid.dmj/1137077884
Mathematics Subject Classification ID: 37F10
Mathematics Subject Classification ID: 32H50
Mathematics Subject Classification ID: 32U40
zbMATH DE Number: 5051846
zbMATH Keywords: hyperbolicity
zbMATH Keywords: bimeromorphic map
zbMATH Keywords: invariant probability measure
zbMATH Keywords: mixing
zbMATH Keywords: maximal entropy
MaRDI profile type: Publication
arXiv ID: math/0409557
cites work: Topological entropy and Arnold complexity for two-dimensional mappings
cites work: Real Arnold complexity versus real topological entropy for birational transformations
cites work: Real topological entropy versus metric entropy for birational measure-preserving transformations
cites work: Energy and invariant measures for birational surface maps
cites work: Real and complex dynamics of a family of birational maps of the plane: The golden mean subshift
cites work: Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\)
cites work: Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). IV: The measure of maximal entropy and laminar currents
cites work: The \(\overline\partial\)-equation on a positive current
cites work: Two characterizations of equilibrium measure of an endomorphism of \(P^k(\mathbb{C})\)
cites work: Dynamics of automorphisms of \(K3\) surfaces
cites work: Symétries birationnelles des surfaces feuilletÉes
cites work: Dynamics of birational maps of P^2
cites work: Invariant measure and Lyapunov exponents for birational maps of \(\mathbb P^2\)
cites work: Dynamics of bimeromorphic maps of surfaces
cites work: Green currents for holomorphic automorphisms of compact Kähler manifolds
cites work: Laminar currents in \(\mathbb P^2\)
cites work: The intersection of laminar currents
cites work: Structure properties of laminar currents on \(\mathbb{P}^2\)
cites work: Multiplicity of holomorphic functions
cites work: Dynamique des applications rationnelles des espaces multiprojectifs
cites work: On the entropy of holomorphic maps
cites work: Entropie topologique des applications méromorphes
cites work: Q4840149
cites work: A proof of the estimation from below in Pesin's entropy formula
cites work: Q3322903
cites work: Statistical properties of chaotic systems
cites work: Currents, flows and diffeomorphisms
cites work: Q3259806
OpenAlex ID: W2053221881
description: scientific article