English

Two extensions of Thurston's spectral theorem for surface diffeomorphisms

Dynamical Systems 2017-05-17 v1 Geometric Topology

Abstract

Thurston obtained a classification of individual surface homeomorphisms via the dynamics of the corresponding mapping class elements on Teichm\"uller space. In this paper we present certain extended versions of this, first, to random products of homeomorphisms and second, to holomorphic self-maps of Teichm\"uller spaces.

Keywords

Cite

@article{arxiv.1208.3735,
  title  = {Two extensions of Thurston's spectral theorem for surface diffeomorphisms},
  author = {Anders Karlsson},
  journal= {arXiv preprint arXiv:1208.3735},
  year   = {2017}
}

Comments

11 pages

R2 v1 2026-06-21T21:52:26.973Z