Smooth Classification of Geometrically Finite One-dimensional Maps
نویسنده
چکیده
The scaling function of a one-dimensional Markov map is defined and studied. We prove that the scaling function of a non-critical geometrically finite one-dimensional map is Hölder continuous, while the scaling function of a critical geometrically finite one-dimensional map is discontinuous. We prove that scaling functions determine Lipschitz conjugacy classes, and moreover, that the scaling function and the exponents and asymmetries of a geometrically finite one-dimensional map are complete C1-invariants within a mixing topological conjugacy class.
منابع مشابه
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