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 probability theory, random processes, random networks, geometric measure theory and the dimension and measure theory of fractals.

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
    6) Conditional measure on the Brownian path and other random sets, arXiv
            (preprint)
    5) Interval projections of self-similar sets, arXiv
            (to appear in Ergodic Theory and Dynamical Systems)
    4) Dimension approximation of attractors of graph directed IFSs by self-similar sets, arXiv
            (to appear in Mathematical Proceedings of the Cambridge Philosophical Society)
    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



thesecondabel@gmail.com

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