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Hitting and escaping statistics: mixing, targets and holes | | Henk Bruin
; Mark F. Demers
; Mike Todd
; | | Date: |
5 Sep 2016 | | Abstract: | There is a natural connection between two types of recurrence law: hitting
times to shrinking targets, and hitting times to a fixed target (usually seen
as escape through a hole). We show that for systems which mix exponentially
fast, one can move through a natural parameter space from one to the other. On
the other hand, if the mixing is subexponential, there is a phase transition
between the hitting times law and the escape law. | | Source: | arXiv, 1609.1196 | | Services: | Forum | Review | PDF | Favorites | |
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