Abstract
dc:description.abstractThis doctoral thesis consists of three independently published research articles on the asymptoic behaviour of Lacunary- and Birkhoff sums. The former are sums formed by periodic functions and exponentially growing sequences of natural numbers. The corresponding summands often exhibit behavior typical of independent and identically distributed random variables. The methods used are of an analytical and probabilistic nature. The Birkhoff sums considered in this work are generated by the Kronecker sequence and by discontinuous functions. The methods employed are from the field of metric number theory, specifically classical results from continued fraction theory are utilized.
Degree
thesis:*- Level thesis:degree_level
- thesis.doctoral
- Grantor dc:publisher
- Universität Passau
- Year
- 2025
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Frühwirth, Lorenz
- Contributors dc:contributor
-
- Prochno, Joscha
- Aistleitner, Christoph
Rights
dc:rights- Statement dc:rights
-
- Creative Commons - CC BY - Namensnennung 4.0 International
Identifiers
dc:identifier.*- Repository record source_url
- https://opus4.kobv.de/opus4-uni-passau/frontdoor/index/index/docId/1567
- OAI identifier oai:identifier
- oai:kobv.de-opus4-uni-passau:1567