1991/06/27 by Yunping Jiang, Jiang, Yunping · 1 citation
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #advanced mathematical theories #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.math/9201287
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.