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Stable-norm boundary geometry on once-punctured tori

Doan, Nhat Minh et al.
arXiv (All) · Papers
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11h06geometric-topologymetric-geometrynumber-theory
We use normal-turn estimates to study the local and global geometry of the boundaries of stable-norm balls $B_X$ for complete finite-area hyperbolic once-punctured tori $X$. We show that the boundary $\partial B_X$ is a convex-geometric detector of exponential Diophantine approximation: rational dir
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