A superior milestone for the topological entropy of a rational application

• 成果类型: Article
• 署名作者: Dinh, TC; Sibony, N
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2005.161.1637
• 发表日期: 2005
• 页码: 1637-1644
• 关键词: dynamics; mappings; MAPS

摘要

Let X be a complex projective manifold and let f be a dominating rational map from X onto X. We show that the topological entropy h(f) of f is bounded from above by the logarithm of its maximal dynamical degree.