Mathematics - Ph.D. / Sc.D.

Random planar matching and bin packing ?

Shor, Peter Williston. (Massachusetts Institute of Technology, 1985)
Quantitative invertibility of random matrices : a combinatorial perspective ?

Jain, Vishesh. (Massachusetts Institute of Technology, 2020)

In this thesis, we develop a novel framework for investigating the lower tail behavior of the least singular value of random matrices - a subject which has been intensely studied in the past two decades. Our focus is on ...
The method of moments in convolved random matrix models and discrete analogues ?

Ahn, Andrew(Andrew Jeehynn) (Massachusetts Institute of Technology, 2020)

We study the global and local asymptotics of Macdonald processes, its degenerations, and related models using the method of difference operators. We focus on three applications. First, we consider random plane partitions ...