Quantitative mixing results and inner functions |
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| Authors: | J L Fernández M V Melián D Pestana |
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| Institution: | (1) Departamento de Matemáticas, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain;(2) Universidad Carlos III de Madrid, Madrid, Spain |
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| Abstract: | We study in this paper estimates on the size of the sets of points which are well approximated by orbits of other points under certain dynamical systems. We apply the results obtained to the particular case of the dynamical system generated by inner functions in the unit disk of the complex plane.D. Pestana was supported by Grants BFM2003-04780 and BFM-2003-06335-C03-02, Ministerio de Ciencia y Tecnología, Spain.J. L. Fernández and M. V. Melián were supported by Grant BFM2003-04780 from Ministerio de Ciencia y Tecnología, Spain. |
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| Keywords: | 30D05 30D50 37A05 37A25 37F10 28D05 11K55 |
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