Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1155776 | Stochastic Processes and their Applications | 2011 | 10 Pages |
Abstract
To establish this result we prove two other results of independent interest. First, we show a relation between the rescaled hitting time and the rescaled return time, generalizing a theorem of Haydn, Lacroix and Vaienti. Second, we show that for positive entropy systems, the probability of observing any n-string in n consecutive observations goes to zero as n goes to infinity.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Miguel Abadi, Benoit Saussol,