On Rigidity of One-Dimensional Maps
نویسندگان
چکیده
The regularity of the conjugacy between two onedimensional maps with singular points is considered. We prove that the conjugacy between two nice and mixing quasi-hyperbolic one-dimensional maps is a diffeomorphism if it is an absolutely continuous homeomorphism and the exponents and the asymmetries of these two maps at all corresponding singular points are the same. We also discuss the application to geometrically finite one-dimensional maps, to Ulam-von Neumann transformations, and to circle expanding maps.
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