Publications
Publications
K. Héra, T. Keleti and A. Máthé: A Fubini-type theorem for Hausdorff dimension, J. Anal. Math., 2023,
https://doi.org/10.1007/s11854-023-0302-3, https://arxiv.org/abs/2106.09661.K. Héra, P. Shmerkin, A. Yavicoli: An improved bound for the dimension of (alpha, 2 alpha)-Furstenberg sets, Rev. Mat. Iberoam., 38 (1), 295-322, 2022, https://doi.org/10.4171/RMI/1281, https://arxiv.org/abs/2001.11304.
K. Héra: Hausdorff dimension of Furstenberg-type sets associated to families of affine subspaces, Ann. Acad. Sci. Fenn. Math. 44, 903-923, 2019, https://doi.org/10.5186/aasfm.2019.4469, https://arxiv.org/abs/1809.04666.
K. Héra, T. Keleti and A. Máthé: Hausdorff dimension of unions of affine subspaces and of Furstenberg-type sets, J. Fractal Geom. 6, 263-284, 2019, https://doi.org/10.4171/JFG/77, https://arxiv.org/abs/1701.02299.
A. Chang, M. Csörnyei, K. Héra and T. Keleti: Small unions of affine subspaces and skeletons via Baire category, Adv. Math. 328, 801-821, 2018, https://doi.org/10.1016/j.aim.2018.02.009, https://arxiv.org/abs/1701.01405.
M. Csörnyei, K. Héra, M. Laczkovich: Closed sets with the Kakeya property, Mathematika 63, 184-195, 2017, https://doi.org/10.1112/S0025579316000188, https://arxiv.org/abs/1802.00286.
K. Héra, M. Laczkovich: The Kakeya problem for circular arcs, Acta Mathematica Hungarica 150, 479–511, 2016,
https://doi.org/10.1007/s10474-016-0663-5, https://arxiv.org/abs/1802.00290.
Preprints
I. Altaf, M. Csörnyei, K. Héra: Hausdorff dimension of Besicovitch sets of Cantor graphs, submitted, https://arxiv.org/abs/2208.12687.