Full Hausdorff dimension of Anosov limit sets forces d=2 cocompact lattices; dim=1 for surface Anosov in PGL(3) forces Hitchin; non-folding implies dim equals the α1 critical exponent.
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Hausdorff Dimension of Anosov Subgroups' Limit Sets with Special Self-Affine Complexity
Full Hausdorff dimension of Anosov limit sets forces d=2 cocompact lattices; dim=1 for surface Anosov in PGL(3) forces Hitchin; non-folding implies dim equals the α1 critical exponent.