Dynamics of certain smooth one-dimensional mappings III: Scaling function geometry
Dynamical Systems
2008-02-03 v1
Abstract
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 -invariants within a topological conjugacy class.
Keywords
Cite
@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}
}