The fundamental inequality for cocompact Fuchsian groups
نویسندگان
چکیده
Abstract We prove that the hitting measure is singular with respect to Lebesgue for random walks driven by finitely supported measures on cocompact, hyperelliptic Fuchsian groups. Moreover, Hausdorff dimension of strictly less than one. Equivalently, inequality between entropy and drift strict. A similar statement proven Coxeter
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ژورنال
عنوان ژورنال: Forum of Mathematics, Sigma
سال: 2022
ISSN: ['2050-5094']
DOI: https://doi.org/10.1017/fms.2022.94