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math.DS2026
Hausdorff spectrum of Lyapunov exponents for higher-dimensional self-affine systems
Balázs Bárány, Reza Mohammadpour
We study the Hausdorff dimension of projections of level sets of Lyapunov exponents for affine iterated function systems. Assuming that the tuple of linear parts is typical, we obt…
math.CA2026
Projections of self-affine sets onto lines
Balázs Bárány, Antti Käenmäki, István Kolossváry
We prove an all-directions Marstrand-Mattila projection theorem for self-affine measures and sets in . Under exponential separation, together with proximality and str…