For self-affine sets in \(\mathbb{R}^d\) satisfying a strong irreducibility
condition, we prove, without requiring any separation assumptions, that
the Marstrand—Mattila projection theorem extends to all one-dimensional
linear subspaces. As a corollary, for any such set with an upper
Minkowski dimension of at most one, we provide a partial positive answer
to a folklore open question by showing that its Minkowski dimension
exists and is equal to its Hausdorff dimension. Based on joint work with
Balázs Bárány and Antti Käenmäki.
Monday, June 15, 2026
10:05–10:55 am (CEST), room 207 in Building H, BME.
Usual place: Budapest University of Technology and Economics (H-1111 Budapest, Műegyetem rkp 3, Hungary),
Building H, 2-nd floor 207 and Zoom.
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