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math.DG2022★ 2 cited
The Cheeger constants of random Belyi surfaces
Yang Shen, Yunhui Wu
Brooks and Makover developed a combinatorial model of random hyperbolic surfaces by gluing certain hyperbolic ideal triangles. In this paper we show that for any , as the numb…
math.DG2022★ 3 cited
Arbitrarily small spectral gaps for random hyperbolic surfaces with many cusps
Yang Shen, Yunhui Wu
Let be the moduli space of hyperbolic surfaces of genus with punctures endowed with the Weil-Petersson metric. In this paper we study the asymptot…