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Escape rates for the Gauss map and examples

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Pollicott, Mark

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Escape rates for the Gauss map and examples
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19
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Following on from the pioneering work of Bunimovitch et al on escape rates for the doubling map, it is interesting to consider escape rates for the Gauss map (or continued fraction transformation). In particular, we will discuss the practical issue of computing the escape rate for the interval [0,1/n], n>2.