Patterson–Sullivan theory for Anosov subgroups
نویسندگان
چکیده
We extend several notions and results from the classical Patterson-Sullivan theory to setting of Anosov subgroups higher rank semisimple Lie groups, working primarily with invariant Finsler metrics on associated symmetric spaces. In particular, we prove equality between Hausdorff dimensions flag limit sets, computed respect a suitable Gromov (pre-)metric manifold, critical exponents subgroups.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2022
ISSN: ['2330-0000']
DOI: https://doi.org/10.1090/tran/8713