English

Ergodic theory for Riemann surface laminations: a survey

Complex Variables 2020-05-29 v2 Dynamical Systems

Abstract

We survey some recent developments in the ergodic theory for hyperbolic Riemann surface laminations. The emphasis is on singular holomorphic foliations. These results not only illustrate the strong similarity between the ergodic theory of maps and that of Riemann surface laminations, but also indicate the fundamental differences between these two theories.

Keywords

Cite

@article{arxiv.1712.09739,
  title  = {Ergodic theory for Riemann surface laminations: a survey},
  author = {Viet-Anh Nguyen},
  journal= {arXiv preprint arXiv:1712.09739},
  year   = {2020}
}

Comments

Dedicated to Kang-Tae Kim for his sixtieth birthday. 31 pages. Last version

R2 v1 2026-06-22T23:30:37.863Z