Nearby in the stack

Central Limit Theorem for Linear Eigenvalue Statistics for Submatrices of Wigner Random Matrices · arXivDesk

1504.05933Apr 22, 2015

Central Limit Theorem for Linear Eigenvalue Statistics for Submatrices of Wigner Random Matrices

Lingyun Li, Matthew Reed, Alexander Soshnikov

Abstract

We prove the Central Limit Theorem for finite-dimensional vectors of linear eigenvalue statistics of submatrices of Wigner random matrices under the assumption that test functions are sufficiently smooth. We connect the asymptotic covariance to a family of correlated Gaussian Free Fields.

Briefing

What this paper is actually doing

This is a heuristic sketch from the abstract. Sign in for a live briefing.

GraduateNovelty 3/5

Researchers working in math.PR and adjacent areas.

Claims

The paper addresses: Central Limit Theorem for Linear Eigenvalue Statistics for Submatrices of Wigner Random Matrices.
We prove the Central Limit Theorem for finite-dimensional vectors of linear eigenvalue statistics of submatrices of Wigner random matrices under the assumption that test functions are sufficiently smooth.

Methods

Method details are not extracted without an AI key — open the PDF or HTML version.
No author comment was provided on arXiv.

Limitations

This is a heuristic briefing generated without a language model. Treat it as a sketch, not an analysis.

Why it matters

Newly listed under math.PR. Connect your OpenRouter key to unlock a full arXivDesk briefing.

Open questions

What is the strongest empirical result, and on which baseline?
Which assumption would most change the conclusion if it failed?

Socratic margin

Ask the abstract

Questions are grounded in the title and abstract. If the PDF is required, arXivDesk will say so.

Nearby in the stack

arXiv did not return neighbours for this paper. Try again in a bit.