We consider the recurrence time to the r-neighbourhood for interval exchange maps. For almost every interval exchange map we show that the logarithm of the recurrence time normalized by −log r goes to 1. A similar result of the hitting time also holds for almost every interval exchange map

The recurrence time for interval exchange maps

MARMI, Stefano
2008

Abstract

We consider the recurrence time to the r-neighbourhood for interval exchange maps. For almost every interval exchange map we show that the logarithm of the recurrence time normalized by −log r goes to 1. A similar result of the hitting time also holds for almost every interval exchange map
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/1392
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