2 papers
math.CO2023
The extremals of the Kahn-Saks inequality
Ramon van Handel, Alan Yan, Xinmeng Zeng
A classical result of Kahn and Saks states that given any partially ordered set with two distinguished elements, the number of linear extensions in which the ranks of the distingui…
math.FA2022
On the concentration of Gaussian Cayley matrices
Afonso S. Bandeira, Dmitriy Kunisky, Dustin G. Mixon +1
Given a finite group, we study the Gaussian series of the matrices in the image of its left regular representation. We propose such random matrices as a benchmark for improvements…