Decay of Correlations in Suspension Semi-flows of Angle-multiplying Maps

Abstract

We consider suspension semi-flows of angle-multiplying maps on the circle. Under a Cgeneric condition on the ceiling function, we show that there exists an anisotropic Sobolev space[3] contained in the L space such that the Perron-Frobenius operator for the time-t-map acts 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 and extends the result of M. Pollicott[17].

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Cite this paper

@inproceedings{Tsujii2005DecayOC, title={Decay of Correlations in Suspension Semi-flows of Angle-multiplying Maps}, author={Masato Tsujii}, year={2005} }