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arXiv · 2001.01713

Random Surfaces with Boundary

Chaim Even-Zohar·Michael Farber
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Abstract

A surface with boundary is randomly generated by gluing polygons along some of their sides. We show that its genus and number of boundary components asymptotically follow a bivariate normal distribution.

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Chaim Even-Zohar, Michael Farber. 2021-03-05. Random Surfaces with Boundary. https://doi.org/10.1007/s00454-021-00301-8

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