Prof Lars Olsen

Prof Lars Olsen

Professor

Phone
+44 (0)1334 46 3437
Email
lo@st-andrews.ac.uk
Office
203 MI
Location
Mathematical Institute

 

Research areas

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.

PhD supervision

  • Luke Derry
  • Yuyang Liu

Selected publications

  • Open access
    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 access
    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 access
    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 access
    Olsen, L. O. R., Feb 2019, In: Mediterranean Journal of Mathematics. 16, 10 p., 11.

    Research output: Contribution to journal › Article › peer-review

  • Open access
    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 access
    Adam-Day, B., Ashcroft, C., Olsen, L., Pinzani, N., Rizzoli, A. & Rowe, J., Dec 2018, In: Acta Mathematica Hungarica. 156, 2, p. 263-302 40 p.

    Research output: Contribution to journal › Article › peer-review

  • Open access
    Olsen, L., 27 Sept 2018, (E-pub ahead of print) In: Journal of Mathematical Analysis and Applications. In press

    Research output: Contribution to journal › Article › peer-review

  • Open access
    Jurina, S., MacGregor, N., Mitchell, A., Olsen, L. & Stylianou, A., Aug 2018, In: Aequationes Mathematicae. 92, 4, p. 709–735 27 p.

    Research output: Contribution to journal › Article › peer-review

  • Open access
    Olsen, L. O. R., 2018, In: Mathematika. 64, 1, p. 77-114 38 p.

    Research output: Contribution to journal › Article › peer-review

  • Open access
    Allen, D., Edwards, H., Harper, S. & Olsen, L. O. R., Oct 2017, In: Mathematische Zeitschrift. 287, 1-2, p. 287-324 38 p.

    Research output: Contribution to journal › Article › peer-review