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Hausdorff spectrum of Lyapunov exponents for higher-dimensional self-affine systems

Bárány, Balázs et al.
arXiv (All) · Papers
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classical-analysis-and-odesdynamical-systemsmetric-geometry
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 obtain a variational formula in terms of pressure, topological entropy, and the Lyapunov dimensions of invariant measures c
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