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Research at St Andrews

Kenneth John Falconer

Person

  1. 2019
  2. Forthcoming

    A capacity approach to box and packing dimensions of projections of sets and exceptional directions

    Falconer, K. J., 12 Mar 2019, (Accepted/In press) In : Journal of Fractal Geometry. 20 p.

    Research output: Contribution to journalArticle

  3. E-pub ahead of print

    Exact dimensionality and projection properties of Gaussian multiplicative chaos measures

    Falconer, K. & Jin, X., 23 May 2019, In : Transactions of the American Mathematical Society. 372, 4, p. 2921-2957 37 p.

    Research output: Contribution to journalArticle

  4. Published

    Marstrand's Theorem revisited: projecting sets of dimension zero

    Beresnevich, V., Falconer, K., Velani, S. & Zafeiropoulos, A., 15 Apr 2019, In : Journal of Mathematical Analysis and Applications. 472, 2, p. 1820-1845 26 p.

    Research output: Contribution to journalArticle

  5. 2018
  6. Published

    Planar self-affine sets with equal Hausdorff, box and affinity dimensions

    Falconer, K. & Kempton, T., Jun 2018, In : Ergodic Theory and Dynamical Systems. 38, 4, p. 1369-1388 20 p.

    Research output: Contribution to journalArticle

  7. Published

    Self-stabilizing processes

    Falconer, K. J. & Lévy Vehel, J., 2018, In : Stochastic Models. 34, 4, p. 409-434 26 p.

    Research output: Contribution to journalArticle

  8. E-pub ahead of print

    Self-stabilizing processes based on random signs

    Falconer, K. J. & Lévy Véhel, J., 29 Sep 2018, In : Journal of Theoretical Probability. First Online, 16 p.

    Research output: Contribution to journalArticle

  9. 2017
  10. Published

    Self-similar sets: projections, sections and percolation

    Falconer, K. J. & Jin, X., 2017, Recent Developments in Fractals and Related Fields. FARF3 2015. Barral, J. & Seuret, S. (eds.). Cham: Birkhäuser, p. 113-127 15 p. (Trends in Mathematics).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  11. Published

    The dimension of projections of self-affine sets and measures

    Falconer, K. J. & Kempton, T. M. W., 6 Feb 2017, In : Annales Academiae Scientiarum Fennicae-Mathematica. 42, p. 473-486 17 p.

    Research output: Contribution to journalArticle

  12. 2016
  13. Published

    Codimension formulae for the intersection of fractal subsets of Cantor spaces

    Donoven, C. & Falconer, K. J., Feb 2016, In : Proceedings of the American Mathematical Society. 144, 2, p. 651-663 14 p.

    Research output: Contribution to journalArticle

  14. Published

    Strong Marstrand theorems and dimensions of sets formed by subsets of hyperplanes

    Falconer, K. & Mattila, P., 2016, In : Journal of Fractal Geometry. 3, 4, p. 319-329 10 p.

    Research output: Contribution to journalArticle

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