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Constant slope models and perturbation

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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.

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Authors and Affiliations

  1. Mathematical Institute, Silesian University in Opava, Na Rybničku 1, 74601, Opava, Czech Republic

    Michal Málek & Samuel Roth

Authors
  1. Michal Málek
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  2. Samuel Roth
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Corresponding author

Correspondence to Samuel Roth.

Additional information

Research supported by RVO funding for IČ47813059

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Málek, M., Roth, S. Constant slope models and perturbation. Isr. J. Math. 230, 213–237 (2019). https://doi.org/10.1007/s11856-018-1814-x

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  • DOI: https://doi.org/10.1007/s11856-018-1814-x

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