Research output per year
Research output per year
Personal profile
Research overview
Fractal geometry, dynamical systems, analysis
Roughly speaking, fractals are objects with detail at arbitrarily fine scales under increased magnification a fractal displays more and more intricate structure. New techniques of fractal geometry have enabled fractals to be analysed - it is a great challenge to develop mathematics suitable for describing and analysing objects of such a general and irregular nature.
Recently, multifractals have attracted great interest. A multifractal is a distribution that gives rise to a whole hierarchy of fractals, and analysis of these fractals and calculation of a multifractal spectrum tells us much about the distribution. Again, multifractals have been used to model physical phenomena, for example the energy dissipation across a turbulent fluid.
Academic/Professional Qualification
Ph.D., University of North Texas; Cand. Scient., University of Copenhagen; London Mathematical Society; Danish Mathematical Society; European Mathematical Society; American Mathematical Society; Edinburgh Mathematical Society; Mathematical Association of America
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Average frequencies of digits in infinite IFS’s and applications to continued fractions and Lüroth expansions
Olsen, L. & West, M., 12 Aug 2020, (E-pub ahead of print) In: Monatshefte für Mathematik. First Online, 38 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
On exponential densities and limit ratios of subsets of N
Li, J. & Olsen, L., 28 Jun 2020, In: Mediterranean Journal of Mathematics. 17, 17 p., 122.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
On average Hewitt-Stromberg measures of typical compact metric spaces
Olsen, L., 24 Jan 2019, (E-pub ahead of print) In: Mathematische Zeitschrift. First Online, 25 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
On the rate of convergence of ((||ƒ||p)¦(||ƒ||∞))p as p →∞
Olsen, L. O. R., Feb 2019, In: Mediterranean Journal of Mathematics. 16, 10 p., 11.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Average distances between points in graph-directed self-similar fractals
Olsen, L. & Richardson, A., 27 Aug 2018, (E-pub ahead of print) In: Mathematische Nachrichten. Early View, 25 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile
Projects
- 1 Finished
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ROYAL SOCIETY STUDY VISIT-DR OLSEN: Royal society international study visit
Olsen, L. (PI)
15/02/04 → 15/03/04
Project: Standard
Activities
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Real Analysis Exchange (Journal)
Olsen, L. O. R. (Editor)
2010 → …Activity: Publication peer-review and editorial work types › Editor of research journal
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Proceedings of the Edinburgh Mathematical Society (Journal)
Olsen, L. O. R. (Member of editorial board)
2008 → …Activity: Publication peer-review and editorial work types › Editor of research journal
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J. Barral, Summer, University of Orsay, Habilitation
Olsen, L. O. R. (External examiner)
2005 → …Activity: Examination types › External examination
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Co-organiser, St Andrews Colloquium "Analysis and Probability on Fractals", Jun/Jul 2003
Olsen, L. O. R. (Organiser)
2003 → …Activity: Participating in or organising an event types › Participation in or organising a conference
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St Andrews Colloquium "Analysis and Probability on Fractals", Jun/Jul 2003
Olsen, L. O. R. (Invited speaker)
2003 → …Activity: Talk or presentation types › Invited talk