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math.GT2021
Elementary planes in the Apollonian orbifold
Yongquan Zhang
In this paper, we study the topological behavior of elementary planes in the Apollonian orbifold , whose limit set is the classical Apollonian gasket. The existence of these e…
math.GT2021
Train tracks, entropy, and the halo of a measured lamination
Tina Torkaman, Yongquan Zhang
Let be a measured geodesic lamination on a complete hyperbolic surface of finite area. Assuming is not a multicurve, our main result establishes the exi…
math.GT2021★ 1 cited
Existence of an exotic plane in an acylindrical 3-manifold
Yongquan Zhang
Let be a geodesic plane in a convex cocompact, acylindrical hyperbolic 3-manifold . Assume that is nonempty, where is the interior of the convex core o…