English

Latt\`es maps and combinatorial expansion

Dynamical Systems 2019-02-20 v3 Complex Variables Metric Geometry

Abstract

A Latt\`es map f ⁣:C^C^f\colon \hat{\mathbb{C}}\rightarrow \hat{\mathbb{C}} is a rational map that is obtained from a finite quotient of a conformal torus endomorphism. We characterize Latt\`es maps by their combinatorial expansion behavior.

Keywords

Cite

@article{arxiv.1109.2664,
  title  = {Latt\`es maps and combinatorial expansion},
  author = {Qian Yin},
  journal= {arXiv preprint arXiv:1109.2664},
  year   = {2019}
}

Comments

41 pages, 3 figures. arXiv admin note: text overlap with arXiv:1109.2980; and with arXiv:1009.3647 by other authors

R2 v1 2026-06-21T19:03:50.818Z