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    Article

    Tent property of the growth indicator functions and applications

    Let \(\Gamma \) Γ be a Zariski dense discrete subgroup of a connected semis...

    Dongryul M. Kim, Yair N. Minsky, Hee Oh in Geometriae Dedicata (2023)

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    Article

    Fibered faces, veering triangulations, and the arc complex

    We study the connections between subsurface projections in curve and arc complexes in fibered 3-manifolds and Agol’s veering triangulation. The main theme is that large-distance subsurfaces in fibers are assoc...

    Yair N. Minsky, Samuel J. Taylor in Geometric and Functional Analysis (2017)

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    Article

    Thick-skinned 3-manifolds

    We show that if the totally geodesic boundary of a compact hyperbolic 3-manifold M has a collar of depth \({d \gg 0}\) ...

    Autumn E. Kent, Yair N. Minsky in Geometric and Functional Analysis (2014)

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    Article

    Picture-Hanging Puzzles

    We show how to hang a picture by wrap** rope around n nails, making a polynomial number of twists, such that the picture falls whenever any k out of the n nails get removed, and the picture remains hanging when...

    Erik D. Demaine, Martin L. Demaine, Yair N. Minsky in Theory of Computing Systems (2014)

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    Article

    On dynamics of Out(F n ) on PSL2(ℂ) characters

    We introduce and study an open set of PSL2(ℂ) characters of a nonabelian free group, on which the action of the outer automorphism group is properly discontinuous, and which is strictly larger than the set of dis...

    Yair N. Minsky in Israel Journal of Mathematics (2013)

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    Chapter and Conference Paper

    Picture-Hanging Puzzles

    We show how to hang a picture by wrap** rope around n nails, making a polynomial number of twists, such that the picture falls whenever any k out of the n nails get removed, and the picture remains hanging when...

    Erik D. Demaine, Martin L. Demaine, Yair N. Minsky in Fun with Algorithms (2012)

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    Article

    Bounded geometry for Kleinian groups

    We show that a Kleinian surface group, or hyperbolic 3-manifold with a cusp-preserving homotopy-equivalence to a surface, has bounded geometry if and only if there is an upper bound on an associated collection...

    Yair N. Minsky in Inventiones mathematicae (2001)

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    Article

    Geometry of the complex of curves I: Hyperbolicity

    Howard A. Masur, Yair N. Minsky in Inventiones mathematicae (1999)

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    Article

    Spectral theory, Hausdorff dimension and the topology of hyperbolic 3-manifolds

    Let M be a compact 3-manifold whose interior admits a complete hyperbolic structure. We let Λ(M) be the supremum of λ0(N) where N varies over all hyperbolic 3-manifolds homeomorphic to the interior of N. Similarl...

    Richard D. Canary, Yair N. Minsky, Edward C. Taylor in The Journal of Geometric Analysis (1999)