English

Quotients of torus endomorphisms and Latt\`es-type maps

Complex Variables 2021-01-14 v2 Dynamical Systems

Abstract

We show that if an expanding Thurston map is the quotient of a torus endomorphism, then it has a parabolic orbifold and is a Latt\`es-type map.

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Cite

@article{arxiv.2001.09529,
  title  = {Quotients of torus endomorphisms and Latt\`es-type maps},
  author = {Mario Bonk and Daniel Meyer},
  journal= {arXiv preprint arXiv:2001.09529},
  year   = {2021}
}

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30 pages