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Counting arcs in negative curvature

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Publication:2973845
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DOI10.1017/cbo9781316275849.010zbMath1362.53044arXiv1203.0175OpenAlexW1514414708WikidataQ110022037 ScholiaQ110022037MaRDI QIDQ2973845

Frédéric Paulin, Jouni Parkkonen

Publication date: 5 April 2017

Full work available at URL: https://arxiv.org/abs/1203.0175

zbMATH Keywords

negative curvaturecircle packingsarithmetic applications


Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Global Riemannian geometry, including pinching (53C20) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Circle packings and discrete conformal geometry (52C26)


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Fine-scale distribution of roots of quadratic congruences, Volume bound for the canonical lift complement of a random geodesic, Counting common perpendicular arcs in negative curvature, Counting and equidistribution in Heisenberg groups, The Schottky-Klein prime function and counting functions for Fenchel double crosses, On the hyperbolic orbital counting problem in conjugacy classes, The good pants homology and the Ehrenpreis conjecture



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