MIT Open Access Articles: Recent submissions

Now showing items 4-6 of 53776

    • On the Spielman-Teng Conjecture 

      Sah, Ashwin; Sahasrabudhe, Julian; Sawhney, Mehtaab (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 

      Vasudevan, Sahana (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 

      Aggarwal, Amol; Borodin, Alexei (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 ...