Files in this item
Hitting and escaping statistics : mixing, targets and holes
Item metadata
dc.contributor.author | Bruin, Henk | |
dc.contributor.author | Demers, Mark F. | |
dc.contributor.author | Todd, Mike | |
dc.date.accessioned | 2019-02-22T00:33:09Z | |
dc.date.available | 2019-02-22T00:33:09Z | |
dc.date.issued | 2018-04-13 | |
dc.identifier | 245163138 | |
dc.identifier | d1b9e40b-9b00-465d-be62-8c8f875c9954 | |
dc.identifier | 85044136151 | |
dc.identifier | 000432905300032 | |
dc.identifier.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 | en |
dc.identifier.issn | 0001-8708 | |
dc.identifier.other | ORCID: /0000-0002-0042-0713/work/54181505 | |
dc.identifier.uri | https://hdl.handle.net/10023/17126 | |
dc.description | MD was partially supported by NSF grant DMS 1362420. This project was started as part of an RIG grant through ICMS, Scotland. | en |
dc.description.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. | |
dc.format.extent | 36 | |
dc.format.extent | 500517 | |
dc.language.iso | eng | |
dc.relation.ispartof | Advances in Mathematics | en |
dc.subject | Hitting time statistics | en |
dc.subject | Open systems | en |
dc.subject | Escape rates | en |
dc.subject | Recurrence | en |
dc.subject | Mixing rates | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject | BDC | en |
dc.subject.lcc | QA | en |
dc.title | Hitting and escaping statistics : mixing, targets and holes | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | 10.1016/j.aim.2017.12.020 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2019-02-22 |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.