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

Tsujii, Masato

Hokkaido University Preprint Series in Mathematics, 2005, 748, 1-17

Permalink : https://doi.org/10.14943/83898

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アクセス権	open access
DOI	https://doi.org/10.14943/83898
URI	https://hdl.handle.net/2115/69556
タイトル	Decay of correlations in suspension semi-flows of angle-multiplying maps
著者	著者名 Tsujii, Masato
言語	英語
発行日	2005
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	748
ページ	1-17
抄録	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}.
資源タイプ	紀要論文
出版タイプ	Version of Record