中文

Dynamics of certain smooth one-dimensional mappings III: Scaling function geometry

动力系统 2008-02-03 v1

摘要

We study scaling function geometry. We show the existence of the scaling function of a geometrically finite one-dimensional mapping. This scaling function is discontinuous. We prove that the scaling function and the asymmetries at the critical points of a geometrically finite one-dimensional mapping form a complete set of C1C^{1}-invariants within a topological conjugacy class.

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引用

@article{arxiv.math/9201287,
  title  = {Dynamics of certain smooth one-dimensional mappings III: Scaling function geometry},
  author = {Yunping Jiang},
  journal= {arXiv preprint arXiv:math/9201287},
  year   = {2008}
}