Ergodic theory and dynamical systems, 2017-12, Vol.37 (8), p.2394-2416
2017
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Details
- Autor(en) / Beteiligte
- Titel
- Symmetric Birkhoff sums in infinite ergodic theory
- Ist Teil von
- Ergodic theory and dynamical systems, 2017-12, Vol.37 (8), p.2394-2416
- Ort / Verlag
- Cambridge, UK: Cambridge University Press
- Erscheinungsjahr
- 2017
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- We show that the absolutely normalized, symmetric Birkhoff sums of positive integrable functions in infinite, ergodic systems never converge pointwise even though they may be almost surely bounded away from zero and infinity. Also, we consider the latter phenomenon and characterize it among transformations admitting generalized recurrent events.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0143-3857eISSN: 1469-4417DOI: 10.1017/etds.2016.18Titel-ID: cdi_proquest_journals_1959173482
- Format
- –
- Schlagworte
- Convergence, Ergodic processes, Mathematical functions, Sums, Theory