Decay of correlations in suspension semiflows of anglemultiplying maps
Preprint Series # 748 Tsujii, Masato Decay of correlations in suspension semiflows of anglemultiplying maps. (2005); AbstractWe consider suspension semiflows of anglemultiplying 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 PerronFrobenius 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}.
