English

Constant Slope Models and Perturbation

Dynamical Systems 2021-04-07 v1

Abstract

We sharpen an estimate for the growth rate of preimages of a point under a transitive piecewise monotone interval map. Then we apply our estimate to study the continuity of the operator which assigns to such a map its constant slope model.

Keywords

Cite

@article{arxiv.1801.08356,
  title  = {Constant Slope Models and Perturbation},
  author = {Michal Malek and Samuel Roth},
  journal= {arXiv preprint arXiv:1801.08356},
  year   = {2021}
}

Comments

18 pages

R2 v1 2026-06-22T23:55:49.372Z