Ábel Farkas

I am a postdoctoral fellow at the Einstein Institute of Mathematics-Hebrew University of Jerusalem. Previously, I held postdoctoral research positions at ICERM-Brown University and at the University of Oulu. I finished my PhD at the University of St Andrews under the supervision of Professor Kenneth Falconer.

My research interests include the dimension and measure theory of deterministic and random fractals, geometric measure theory, random processes and probability.

You can find my PhD thesis here.

If you wish to contact me you can find the appropriate details at the bottom of the page.


Publications
    5) Interval projections of self-similar sets, arXiv
            (preprint)
    4) Dimension approximation of attractors of graph directed IFSs by self-similar sets, arXiv
            (preprint)
    3) On the equality of Hausdorff measure and Hausdorff content (with J. M. Fraser), arXiv
            Journal of Fractal Geometry, 2, (2015), 403-429.
    2) Projections of self-similar sets with no separation condition, arXiv
            Israel Journal of Mathematics, 214, (2016), 67–107.
    1) Dimension and measure for generic continuous images (with R. Balka, J. M. Fraser & J. T. Hyde), PDF
            Ann. Acad. Sci. Fenn. Math., 38, (2013), 389-404.


Contact details
    Einstein Institute of Mathematics,
    Hebrew University of Jerusalem,
    Edmond J. Safra Campus,
    Givat Ram. Jerusalem, 9190401
    Israel



af56@st-andrews.ac.uk
Room 70 Ross building

Return to the Analysis homepage.