Hitting and escaping statistics : mixing, targets and holes
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.
Citation
Bruin , H , Demers , M F & Todd , M 2018 , ' Hitting and escaping statistics : mixing, targets and holes ' , Advances in Mathematics , vol. 328 , pp. 1263-1298 . https://doi.org/10.1016/j.aim.2017.12.020
Publication
Advances in Mathematics
Status
Peer reviewed
ISSN
0001-8708Type
Journal article
Description
MD was partially supported by NSF grant DMS 1362420. This project was started as part of an RIG grant through ICMS, Scotland.Collections
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