Hitting and escaping statistics : mixing, targets and holes
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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.
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
Advances in Mathematics
© 2018 Elsevier Inc. This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1016/j.aim.2017.12.020
DescriptionMD was partially supported by NSF grant DMS 1362420. This project was started as part of an RIG grant through ICMS, Scotland.
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