Dynamics of certain smooth one-dimensional mappings III: Scaling function geometry
Yunping Jiang
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 C1-invariants within a topological conjugacy class.
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