Wujie Shen

activity

20222025

most citedMinimal length of nonsimple closed geodesics on hyperbolic surfaces

1 citations · 1 across the 3 of their papers we have counts for

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3 papers · 1 filter

math.GT2024

Closed geodesics on hyperbolic surfaces with few intersections

Wujie Shen

We prove that, if a closed geodesic $Γ$ on a complete finite type hyperbolic surface has at least 2 self-intersections, then the length of $Γ$ has an lower bound $2 lo g (5 + 26)$ …

math.GT2023

Nonsimple closed geodesics with given intersection number on hyperbolic surfaces

Wujie Shen

We prove that the minimal length of a closed geodesic with self-intersection number $k$ on any finite-type hyperbolic surface is $2 cosh^{- 1} (1 + 2 k)$ for $k > 1750$ . This improves the…

math.GT2022★ 1 cited

Minimal length of nonsimple closed geodesics on hyperbolic surfaces

Wujie Shen, Jiajun Wang

In the present paper, we show that the minimal length of closed geodesics on finite-type hyperbolic surfaces with self-intersection number $k$ has order $2 lo g k$ as $k$ gets large…