Critical points for the Hausdorff dimension of pairs of pants

DOI10.4171/GGD/436zbMath1386.37046OpenAlexW2601024349MaRDI QIDQ1691971

Polina Vytnova, Mark Pollicott

Publication date: 25 January 2018

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/ggd/436

zbMATH Keywords

limit setHausdorff dimensionFuchsian groupRiemann surfaceSelberg zeta functionclosed geodesic

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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