Decay of correlations in suspension semi-flows of angle-multiplying maps
Masato Tsujii
Abstract
We consider suspension semi-flows of angle-multiplying maps on the circle. Under a Crgeneric condition on the ceiling function, we show that there exists an anisotropic Sobolev space contained in the L2 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.
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