dc.contributor.author | Holland, MP | |
dc.contributor.author | Todd, M | |
dc.date.accessioned | 2017-08-02T08:28:24Z | |
dc.date.issued | 2017-09-07 | |
dc.description.abstract | For a measure-preserving dynamical system (X , f, µ), we consider the time
series of maxima Mn = max{X1, . . . , Xn} associated to the process Xn = φ( f
n−1
(x))
generated by the dynamical system for some observable φ : X → R. Using a pointprocess
approach we establish weak convergence of the process Yn(t) = an(M[nt] − bn)
to an extremal process Y (t) for suitable scaling constants an, bn ∈ R. Convergence here
takes place in the Skorokhod space D(0, ∞) with the J1 topology. We also establish
distributional results for the record times and record values of the corresponding maxima
process. | en_GB |
dc.description.sponsorship | This research was partially supported by the London Mathematics Society (Scheme 4, no. 41126), and both authors thank the Erwin Schrodigner Institute (ESI) in Vienna where part of this work was carried out. MH wishes to thank the Department of Mathematics, University of Houston for hospitality and financial support, and MT thanks Exeter University for their hospitality and support. | en_GB |
dc.identifier.citation | Published online 7 September 2017 | en_GB |
dc.identifier.doi | 10.1017/etds.2017.56 | |
dc.identifier.uri | http://hdl.handle.net/10871/28754 | |
dc.language.iso | en | en_GB |
dc.publisher | Cambridge University Press (CUP) | en_GB |
dc.rights.embargoreason | Publisher policy | en_GB |
dc.rights | © Cambridge University Press, 2017 | |
dc.title | Weak convergence to extremal processes and record events for non-uniformly hyperbolic dynamical systems | en_GB |
dc.type | Article | en_GB |
dc.identifier.issn | 1469-4417 | |
dc.description | This is the author accepted manuscript. The final version is available from CUP via the DOI in this record. | en_GB |
dc.identifier.journal | Ergodic Theory and Dynamical Systems | en_GB |
refterms.dateFOA | 2018-03-07T00:00:00Z | |