Decay of correlations in suspension semi-flows of angle-multiplying maps
2008 ◽
Vol 28
(1)
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pp. 291-317
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Keyword(s):
AbstractWe consider suspension semi-flows of angle-multiplying maps on the circle for Cr ceiling functions with r≥3. Under a Crgeneric condition on the ceiling function, we show that there exists a Hilbert space (anisotropic Sobolev space) contained in the L2 space such that the Perron–Frobenius operator for the time-t-map acts naturally 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 of decay of correlations. Furthermore, the Perron–Frobenius operator for the time-t-map is quasi-compact for a Cr open and dense set of ceiling functions.
2006 ◽
Vol 09
(04)
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pp. 595-606
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2014 ◽
Vol 95
(109)
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pp. 29-47
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2016 ◽
Vol 23
(4)
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pp. 615-622
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Keyword(s):
1998 ◽
Vol 10
(05)
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pp. 705-721
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1993 ◽
Vol 118
(2)
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pp. 419-419
1995 ◽
Vol 07
(06)
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pp. 833-869
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Keyword(s):
1991 ◽
Vol 11
(4)
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pp. 757-767
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1980 ◽
Vol 21
(1)
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pp. 75-79
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