2023-03-25T16:15:05Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/695562022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Decay of correlations in suspension semi-flows of angle-multiplying mapsTsujii, Masatoopen access410We 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}.Department of Mathematics, Hokkaido University2005engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83898http://hdl.handle.net/2115/6955610.14943/83898Hokkaido University Preprint Series in Mathematics748117https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69556/1/pre748.pdfapplication/pdf261.25 KB2005