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Metric Invariants in Dynamical Systems

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Abstract

The scaling function and the linear model for a circle endomorphism are two important smooth invariants under conjugacy. We discuss these two invariants and some relations between them. Furthermore, we use these relations to discuss some realization results in this direction. The discussion in this paper avoids quasiconformal mapping theory and Gibbs theory and g-measure theory, which are used in our previous discussions, therefore, is straightforward and simple.

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Authors and Affiliations

  1. Department of Mathematics, Queens College of the City University of New York, Flushing, NY, 11367-1597, USA

    Yunping Jiang

  2. Department of Mathematics, Graduate School of the City University of New York, 365 Fifth Avenue, New York, NY, 10016, USA

    Yunping Jiang

  3. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China

    Yunping Jiang

Authors
  1. Yunping Jiang
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Corresponding author

Correspondence to Yunping Jiang.

Additional information

This paper is dedicated to Professor Shui-Nee Chow on the occasion of his 60th Birthday.

Mathematics Subject Classification 2000: Primary 37E10, Secondary 34C14

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Jiang, Y. Metric Invariants in Dynamical Systems. J Dyn Diff Equat 17, 51–71 (2005). https://doi.org/10.1007/s10884-005-5403-4

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  • DOI: https://doi.org/10.1007/s10884-005-5403-4

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