MIT Open Access Articles
The MIT Open Access Articles collection consists of scholarly articles written by MIT-affiliated authors that are made available through DSpace@MIT under the MIT Faculty Open Access Policy, or under related publisher agreements. Articles in this collection generally reflect changes made during peer-review.
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Recent Submissions
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On the Spielman-Teng Conjecture
(Springer International Publishing, 2025-02-13)Let M be an n×n matrix with iid subgaussian entries with mean 0 and variance 1 and let σn(M) denote the least singular value of M. We prove that $$ \mathbb{P}\big( \sigma _{n}(M) \leqslant \varepsilon n^{-1/2} \big) = ... -
Large Genus Bounds for the Distribution of Triangulated Surfaces in Moduli Space
(Springer International Publishing, 2024-03-04)Triangulated surfaces are compact Riemann surfaces equipped with a conformal triangulation by equilateral triangles. In 2004, Brooks and Makover asked how triangulated surfaces are distributed in the moduli space of Riemann ... -
Colored line ensembles for stochastic vertex models
(Springer International Publishing, 2024-11-07)In this paper we assign a family of n coupled line ensembles to any U q ( sl ^ n + 1 ) colored stochastic fused vertex model, which satisfies two properties. First, the joint law of their top curves coincides with that of ...
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