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- W2950178280 abstract "Our goal is to show, in two different contexts, that random surfaces have large pants decompositions. First we show that there are hyperbolic surfaces of genus $g$ for which any pants decomposition requires curves of total length at least $g^{7/6 - epsilon}$. Moreover, we prove that this bound holds for most metrics in the moduli space of hyperbolic metrics equipped with the Weil-Petersson volume form. We then consider surfaces obtained by randomly gluing euclidean triangles (with unit side length) together and show that these surfaces have the same property." @default.
- W2950178280 created "2019-06-27" @default.
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- W2950178280 date "2010-11-02" @default.
- W2950178280 modified "2023-09-27" @default.
- W2950178280 title "Pants decompositions of random surfaces" @default.
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