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# Decay of correlations in suspension semi-flows of angle-multiplying maps

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 Title: Decay of correlations in suspension semi-flows of angle-multiplying maps Authors: Tsujii, Masato Browse this author Issue Date: 2005 Journal Title: Hokkaido University Preprint Series in Mathematics Volume: 748 Start Page: 1 End Page: 17 Abstract: We consider suspension semi-flows of angle-multiplying maps on the circle. Under a $C^r$generic condition on the ceiling function, we show that there exists an anisotropic Sobolev space¥cite{BT} contained in the $L^2$ space such that the Perron-Frobenius operator for the time-$t$-map act on it and that the essential spectral radius of that action is bounded by the square root of the inverse of the minimum expansion rate. This leads to a precise description on decay of correlations, which extends the result of M. Pollicott¥cite{Po}. Type: bulletin (article) URI: http://hdl.handle.net/2115/69556 Appears in Collections: 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics