Under special self-affine complexity assumptions, the Hausdorff dimension of Anosov subgroups' limit sets is either full only for d=2 cocompact lattices, never 1 for d=3 surface groups unless Hitchin, or equals the critical exponent of the first simple root when partially quasi-self-similar.
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Hausdorff Dimension of Anosov Subgroups' Limit Sets with Special Self-Affine Complexity
Under special self-affine complexity assumptions, the Hausdorff dimension of Anosov subgroups' limit sets is either full only for d=2 cocompact lattices, never 1 for d=3 surface groups unless Hitchin, or equals the critical exponent of the first simple root when partially quasi-self-similar.