Rapid Decay of Correlations for Nonuniformly Hyperbolic Flows
作者： Ian Melbourne
DOI: 10.1090/S0002-9947-06-04267-X
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摘要: We show that superpolynomial decay of correlations (rapid mixing) is prevalent for a class nonuniformly hyperbolic flows. These flows are the continuous time analogue maps which Young proved exponential correlations. The proof combines techniques Dolgopyat and operator renewal theory. It follows from our results planar periodic Lorentz flows with finite horizons near homoclinic tangencies typically rapid mixing.
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