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 mapFile in questo prodotto:
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