Xiaoyu Xie

collaborators

2 papers

math.PR2025

Fluctuations in Quantum Unique Ergodicity at the Spectral Edge

Lucas Benigni, Nixia Chen, Patrick Lopatto +1

We study the eigenvector mass distribution of an $N \times N$ Wigner matrix on a set of coordinates $I$ satisfying $∣ I ∣ \geq c N$ for some constant $c > 0$ . For eigenvectors corresp…

math.PR2024

The $ℓ_{r}$ -Levy-Grothendieck problem and $r \to p$ norms of Levy matrices

Kavita Ramanan, Xiaoyu Xie

Given an $n \times n$ matrix $A_{n}$ and $1 \leq r, p \leq \infty$ , consider the following quadratic optimization problem referred to as the $ℓ_{r}$ -Grothendieck problem: \begin{align}…

Fluctuations in Quantum Unique Ergodicity at the Spectral Edge

The ℓr​-Levy-Grothendieck problem and r→p norms of Levy matrices

The $ℓ_{r}$ -Levy-Grothendieck problem and $r \to p$ norms of Levy matrices