https://www.quantamagazine.org/statistics-postdoc-tames-decades-old-geometry-problem-20210301/
Statistics Postdoc Tames Decades-Old Geometry Problem
To the surprise of experts in the field, a postdoctoral statistician has solved one of the most important problems in high-dimensional convex geometry.
Erica Klarreich
March 1, 2021
“…a random walk is guaranteed to mix through a convex shape much faster than researchers could previously prove. Among other things, this understanding will help computer scientists to prioritize among different random sampling techniques — to figure out when the most basic random walk is best, and when a more sophisticated but computationally expensive algorithm will perform better.”