Unique ergodicity for foliations in \(\mathbb {P}^2\) with an invariant curve
From MaRDI portal
Publication:1692195
DOI10.1007/s00222-017-0744-2zbMath1395.37030arXiv1509.07711OpenAlexW3122848787MaRDI QIDQ1692195
Tien-Cuong Dinh, Nessim Sibony
Publication date: 26 January 2018
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.07711
Kähler manifolds (32Q15) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical aspects of holomorphic foliations and vector fields (37F75) Integration on analytic sets and spaces, currents (32C30)
Related Items (13)
Singular holomorphic foliations by curves. I: Integrability of holonomy cocycle in dimension 2 ⋮ Super-potentials, densities of currents and number of periodic points for holomorphic maps ⋮ Densities of Currents on Non-Kähler Manifolds ⋮ Directed harmonic currents near non-hyperbolic linearizable singularities ⋮ Singular holomorphic foliations by curves. III: Zero Lelong numbers ⋮ Singular holomorphic foliations by curves. II: Negative Lyapunov exponent ⋮ Density of positive closed currents, a theory of non-generic intersections ⋮ Some open problems on holomorphic foliation theory ⋮ On Ahlfors currents ⋮ Ergodic theorems for laminations and foliations: recent results and perspectives ⋮ Harmonic currents directed by foliations by Riemann surfaces ⋮ Unique ergodicity for foliations on compact Kähler surfaces ⋮ Density currents and relative non‐pluripolar products
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Equidistribution of saddle periodic points for Hénon-type automorphisms of \(\mathbb C^k\)
- Heat equation and ergodic theorems for Riemann surface laminations
- Foliations, the ergodic theorem and Brownian motion
- Equations de Pfaff algébriques
- Prolongement des courants, positifs, fermes de masse finie
- Cycles for the dynamical study of foliated manifolds and complex manifolds
- Hypersurfaces solutions d'une équation de Pfaff analytique
- Fixed points and circle maps
- The \(\overline\partial\)-equation on a positive current
- Minimal sets of foliations on complex projective spaces
- Unique ergodicity of harmonic currents on singular foliations of \({\mathbb{P}^2}\)
- Dynamics of local groups of conformal mappings and generic properties of differential equations on \(\mathbb{C}^{2}\)
- Pull-back of currents by holomorphic maps
- Harmonic currents of finite energy and laminations
- [https://portal.mardi4nfdi.de/wiki/Publication:2710399 Uniformization and the Poincar� metric on the leaves of a foliation by curves]
- Equidistribution for meromorphic maps with dominant topological degree
- Plurisubharmonic currents and their extension across analytic subsets
- Directed harmonic currents near hyperbolic singularities
- Dynamics in several complex variables: endomorphisms of projective spaces and polynomial-like mapping
- Birational Geometry of Foliations
This page was built for publication: Unique ergodicity for foliations in \(\mathbb {P}^2\) with an invariant curve
