Dynamics of automorphisms on compact Kähler manifolds
| Autor: | Tien-Cuong Dinh, Henry de Thelin |
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| Rok vydání: | 2012 |
| Předmět: |
Mathematics(all)
Pure mathematics Entropy General Mathematics Holomorphic function Automorphism Green current Cohomology ring Holomorphic automorphism Maximal entropy Green measure Entropy (information theory) Laminar current Invariant probability measure Mathematics::Symplectic Geometry Mathematics |
| Zdroj: | Advances in Mathematics |
| ISSN: | 0001-8708 |
| DOI: | 10.1016/j.aim.2012.01.014 |
| Popis: | We study holomorphic automorphisms on compact Kähler manifolds having simple actions on the Hodge cohomology ring. We show for such automorphisms that the main dynamical Green currents admit complex laminar structures (woven currents) and the Green measure is the unique invariant probability measure of maximal entropy. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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