notesum.ai

Published at November 7

cs.LG

cs.AI

math.AP

math.DS

68T07, 35Q68, 37N99, 82C22

Released Date: November 7, 2024

Authors: Nikita Karagodin, Yury Polyanskiy, Philippe Rigollet

Largest Eigenvalue	Multiplicity	Final Configuration	Figure
$\lambda_{\max}>0$	d	First particle $x_{0}$	1(a)
$\lambda_{\max}>0$	$\geq 2$	One point in $L$	1(b)
$\lambda_{\max}>0$	1	Two points $\xi$ and $-\xi$	1(c)
$\lambda_{\max}<0$	$\geq 2$	Point cloud around $L$	1(d)
$\lambda_{\max}<0$	1	Two point clouds around $\xi$ and $-\xi$	1(e)