English

Smooth rigidity for very non-algebraic expanding maps

Dynamical Systems 2021-04-08 v3

Abstract

We show that the space of expanding maps contains an open and dense set where smooth conjugacy classes of expanding maps are determined by the values of the Jacobians of return maps at periodic points.

Keywords

Cite

@article{arxiv.1911.07751,
  title  = {Smooth rigidity for very non-algebraic expanding maps},
  author = {Andrey Gogolev and Federico Rodriguez Hertz},
  journal= {arXiv preprint arXiv:1911.07751},
  year   = {2021}
}

Comments

26 pages; minor improvements throughout the preprint. Version2: a gap was addressed, 34 pages

R2 v1 2026-06-23T12:19:29.074Z