Dept. Math, Hokkaido Univ. EPrints Server

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

Preprint Series # 748
Tsujii, Masato Decay of correlations in suspension semi-flows of angle-multiplying maps. (2005);

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Abstract

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}.

Item Type:Preprint
Additional Information:10
Uncontrolled Keywords:decay of correlations, expanding semi-flow, suspenstion flow,
Subjects:37-xx DYNAMICAL SYSTEMS AND ERGODIC THEORY
ID Code:1203