3 papers
math.PR2026
Mixing times of Langevin dynamics for spiked matrix models
Reza Gheissari, Curtis Grant, Tianmin Yu
We investigate the Langevin dynamics for Wigner matrices with a spherical spike, in the regime where the signal-to-noise ratio is large, but order one. For large, order-, si…
math.ST2025
Pseudo-Maximum Likelihood Theory for High-Dimensional Rank One Inference
Curtis Grant, Aukosh Jagannath, Justin Ko
We develop a pseudo-likelihood theory for rank one matrix estimation problems in the high dimensional limit. We prove a variational principle for the limiting pseudo-maximum likeli…
math.GT2021
Asymptotic Dimension of Big Mapping Class Groups
Curtis Grant, Kasra Rafi, Yvon Verberne
Even though big mapping class groups are not countably generated, certain big mapping class groups can be generated by a coarsely bounded set and have a well defined quasi-isometry…