Decay of correlations in one and two dimensions |
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| Authors: | András Krámli |
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| Institution: | (1) József Attila University, 6720 Szeged, Hungary |
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| Abstract: | An exposition of some methods of proving exponential (stretched exponential) decay of correlations is given. One-dimensional strictly hyperbolic and quadratic maps and two-dimensional piecewise smooth, uniformly hyperbolic maps are considered. The emphasis is on the fundamental constructions of the Markov sieve method due to Bunimovich-Chernov-Sinai and those of Liverani's Hilbert metric method. |
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| Keywords: | Correlation decay smooth and piecewise smooth hyperbolic maps Markov sieve cone of functions Hilbert metric |
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